What is the distance between point A and point B? A) 4 units B) 3 units C) 5 units D) 3.5 units
Answers
Answer:
C) Distance =5 units
Step-by-step explanation:
[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]
Using the formula for the distance between two points, it is found that the distance between points A and B is given by:
C) 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are A(1,1) and B(5,4), hence:
[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]
Hence option C is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
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Related Questions
please help real quick
Answers
Divide total km by the km in the scale:
112 / 16 = 7
The answer is A. 7 cm
Answer:
7 cm
Step-by-step explanation:
1 cm : 16 km :: x cm : 112 km
Product of mean = Product of extreme
16 * x = 1 * 112
x =[tex]\frac{112}{16}[/tex]
x = 7cm
C) look at the scale factor for parts a and b. do they represent a reduction or enlargement of the empire state building? How do you know?
Answers
Answer:
Enlargement
Step-by-step explanation
It is enlargement, because it went up by three. Instead of reducing.
We cannot tell the result because the actual size of blocks used for modelling the Empire State Building is not known.
How are scale construction formed?For a particular scaled construct, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the corresponding lengths in the constructed scaled structure.
For case a) or b), we used the scale factors as:
1 block : x feet, where x was either 2 or 5 feet.
But we are not specified what size is of the block which is used to model the building.
It may be that block is greater than x feet, or may be smaller. This will decide whether there is enlargement or reduction of the actual building, respectively.
Thus, we cannot tell the result because the actual size of blocks used for modelling the Empire State Building is not known.
Learn more about scale factors here :
https://brainly.com/question/8765466
Someone pls help . Thank you sm !!
Answers
Answer:
28 = -3k + 728 - 7 = -3k
21 = -3k
21/-3 = k
k = -7
1/5 x - 17 = 3x/5 = 3 + 17
x/5 = 20
x = 5*20
x = 100
82 = 7/10 G + 1282 - 12 = 7G/10
70 = 7G/10
70*10 = 7G
700 = 7G
700/7 = G
G = 100
How did the temperature change if: At first it increased by 25% and then decreased by 40%
Answers
Answer:
24.6 % decrease
Step-by-step explanation:
Let x be the original temperature
Increase by 25%
x + .25x
1.25x
Decrease by 40%
The amount decreased is
(1.25x) *.40
.496x
Subtract that from 1.25x
1.25x - .496x
.754x
We need to find the percent decrease
1 - .754 = .246
24.6 % decrease
Answer:
Temperature decreased by 25%
Step-by-step explanation:
Let initial temperature be t
Step 1
Increase by 25%:
t + 25% = t + 0.25 t = 1.25 tStep 2
Decrease by 40%:
1.25 t - 40% = 1.25 t - 0.4 * 1.25 t= 1.25 t - 0.5 t = 0.75 tTemperature changed from t to 0.75 t
The difference in %:
0.75 t - t = -0.25 t = 25% decreaseTemperature decreased by 25%
click to see equation, show work pls!
Answers
Answer:
x = 6, 9
Step 1:
To solve this equation, we need to subtract 3 from both sides like this:
[tex]3\sqrt{x-5} +3(-3)=x(-3)\\3\sqrt{x-5} =x-3[/tex]
Step 2:
We square both sides (multiply using FOIL) to get rid of the radical.
[tex](3\sqrt{x-5} )^2 = (x-3)^2\\(3\sqrt{x-5} )^2: 9x-45\\ (x-3)^2: x^2+6x+9\\\\9x-45=x^2-6x+9[/tex]
If you did not understand how these were done, here is an example:
(x + 1)(x + 2)
First terms: x * x = x^2
Outer terms: x * 2 = 2x
Inner terms: 1 * x = x
2x - x = x
Last terms: 1 * 2 = 2
x^2 + x + 2
Step 3:
Solve for x:
9x - 45 = x^2 - 6x + 9
x^2 - 6x + 9 (+45) = 9x - 45 (+45)
x^2 - 6x + 54 (-9x) = 9x (-9x)
x^2 - 15x + 54 = 0
Factor:
(x^2 - 6x) + (- 9x + 54)
x(x - 6) - 9(x - 6)
Factor out (x - 6):
(x - 6)(x - 9) = 0
x - 6 = 0; 6 - 6 = 0
x - 9 = 0; 9 - 9 = 0
Our anwer: x = 6, 9
What’s the mass of a liquid if its density is 0.95 G/ml and its volume is 200 ml
Answers
Answer:
190 g
Step-by-step explanation:
Mass =Density
Volume
Let the mass be x.
x/200=0.95
x=200 x 0.95
x = 190 g
Thank you!
Suppose a function f has an inverse. If f(2)=6 and f(3)=7, find: f−1(6)
Answers
Answer:
[tex]f^{-1}(6) = 2[/tex]
Step-by-step explanation:
Given
[tex]f(2) = 6[/tex]
[tex]f(3) = 7[/tex]
Required
[tex]f^{-1}(6)[/tex]
First, we need to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
From the given parameters;
In [tex]f(2) = 6[/tex]
x = 2; y =6 --- Take this as x1 and y1
In [tex]f(3) = 7[/tex]
x = 3; y = 7 --- Take this as x2 and y2
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{6 - 7}{2 - 3}[/tex]
[tex]m = \frac{- 1}{ - 1}[/tex]
[tex]m = 1[/tex]
Next, we determine the equation of the function using
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute the values of x1,y1 and m
[tex]y - 6 = 1(x - 2)[/tex]
Open bracket
[tex]y - 6 = x - 2[/tex]
Add 6 to both sides
[tex]y - 6 + 6 = x -2 +6[/tex]
[tex]y = x + 4[/tex]
Next is to determine the inverse function by swapping the positions of x and y
[tex]x = y + 4[/tex]
Make y the subject of formula;
[tex]y = x - 4[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = x - 4[/tex]
Now, we can solve for [tex]f^{-1}(6)[/tex]
Substitute 6 for x
[tex]f^{-1}(6) = 6 - 4[/tex]
[tex]f^{-1}(6) = 2[/tex]
Maria’s office is located at (–7,–5) on the coordinate plane. Her home is located at (4,–6) and the supermarket is located at (–2,–6). When returning back from the office, she first goes to the supermarket to buy some groceries, and then goes back home. Find the total distance she traveled from her office to home. A. 146−−−√+6 units B. 26−−√+6 units C. 82−−√+6 units D. 202−−−√+6 units
Answers
Answer:
B. 6 + √26
Step-by-step explanation:
1. Make a right triangle using the line that goes from office to supermarket.
2. Use pythagorean thereom to find the distance of the longest side.
3. FInd the distance of the line segment going from supermarket to Marias House.
4. Add them together to get 6 + √26.
Answer:
B.
Step-by-step explanation:
1. Make a right triangle using the line that goes from office to supermarket.
2. Use Pythagorean theorem to find the distance of the longest side.
3. Find the distance of the line segment going from supermarket to Maria's House.
4. Add them together to get 6 + √26.
Plz help I’ll mark brainliest
Answers
Answer:
x = 22.62°Step-by-step explanation:
To find the measure of angle x we use cosine
[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]
From the question
PO is the hypotenuse = 13
The adjacent is 12
Substitute the values into the above formula
That's
[tex] \cos(x) = \frac{12}{13} [/tex]
[tex]x = \cos^{ - 1} ( \frac{12}{13} ) [/tex]
x = 22.6198
We have the final answer as
x = 22.62° to the nearest hundredthHope this helps you
Answer:
Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X. All of the angles of an equilateral triangle are equal.
Step-by-step explanation:
Kaitlin compared the statistics from her team's baseball season. She determined that having fewer hits did not imply that a player caught more or fewer balls. What should she conclude? a. There is no correlation between the number of hits and the number of balls caught. b. There is a correlation between the number of hits and the number of balls caught. There may or may not be causation. Further studies would have to be done to determine this. c.There is a correlation between number of hits and number of balls caught. However, there is no causation. This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Answers
Answer: c.There is a correlation between number of hits and number of balls caught. However, there is no causation. This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Step-by-step explanation:
Correlation is a term used to define a relationship between two variables.Causation is a term used to define the effect of one variable on other.Given, Kaitlin compared the statistics from her team's baseball season. She determined that having fewer hits did not imply that a player caught more or fewer balls.
There is a correlation between number of hits and number of balls caught. However, there is no causation as " fewer hits did not imply that a player caught more or fewer balls.".
This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Hence, the correct option is "c".
Use the formula
A = nr2 and find the area of a circle with
radius 5 cm. Use i = 3.14.
Answers
Answer:
A = 78.5 cm²
Step-by-step explanation:
A = πr²
A = (3.14)(5)²
A = (3.14)(25)
A = 78.5 cm²
The area of the circle with a radius of 5 cm will be 78.5 cm².
Hope that helps.
Nine and one half less than four and one half times a number is greater than 62,5. Which of the following represents
the solution set of this problem?
O (16,400)
O (-16,400)
o (-0,16)
o (-00,-16)
Answers
Answer: (16,O0) That is 16 to positive infinity
Step-by-step explanation:
4.5x - 9.5 > 62.5
4.5x > 62,5 + 9.5
4.5x > 72
x > 72/ 4.5
x> 16
So all real numbers greater than 16 is the solution set.
(16,O0)
I wish I had the infinity symbol on this keyboard!
(-00-,-16)
Matt measures 3 pieces of string. The first piece is 544 cm. The second piece is 144 cm, and the third piece is 112 cm. How many METERS of the string does he have altogether?
Answers
Answer:
8.10
Step-by-step explanation:
1metre =100 centmetres
1st piece is 5.44m
2nd piece is 1.44m
3rd piece is 1.12m
Total length= 8.10m
solve the equation
[tex] {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105[/tex]
Answers
Answer:
n=2
Step-by-step explanation:
Hello, please consider the following.
[tex]{5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105\\\\5^{n-1}(5^2-5+1)=5^{n-1}(25-5+1)=21*5^{n-1}=105\\\\5^{n-1}=\dfrac{105}{21}=5=5^1\\\\\text{It means that}\\\\n-1=1 <=> n=2[/tex]
Let me know if you need more details.
Thank you
To make a project, you need a rectangular piece of fabric
3 ft wide and 4 ft long. How many square feet of fabric do
you need?
I
Answers
Answer:
12 ft²
Step-by-step explanation:
area = length * width
area = 4 ft * 3 ft
area = 12 ft²
3ft x 4ft
= 12ft
PLS HELP ME WITH THIS QUESTION I NEED IT QUICK! anything helps..
Answers
Answer:
Graph A
Step-by-step explanation:
if you look at the numbers on the top row they correspond with the left side of the graph and the bottom row of numbers correspond with the bottom of the Graph.
Answer:
Graph A)
Step-by-step explanation:
The first points 20,70 and 30,70 are both plotted correctly on this graph, same with the other points. :)
Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other? A. 145−−−√ units B. 97−−√ units C. 5 units D. 73−−√ units
Answers
Answer:
B
Step-by-step explanation:
From the graph we can notice that the coordinates of the cities are:
● A(2,3)
● B(6,-6)
There are many methods to figure out the distance between A and B. We will use the distance formula.
Let d be the distance between A and B.
● d = √[(2-6)^2 + (3-(-6))^2]
● d = √[(-4)^2 + (3+6)^2]
● d = √[ 4^2 + 9^2 ]
● d = √(16+81)
● d = √(97)
Answer:
The answer is B) 97 units
Step-by-step explanation:
From the graph we can notice that the coordinates of the cities are:
● A(2,3)
● B(6,-6)
There are many methods to figure out the distance between A and B. We will use the distance formula.
Let d be the distance between A and B.
● d = √[(2-6)^2 + (3-(-6))^2]
● d = √[(-4)^2 + (3+6)^2]
● d = √[ 4^2 + 9^2 ]
● d = √(16+81)
● d = √(97)
Help and show work plz
Answers
Answer:
RK: 4 and BC: 6
Step-by-step explanation:
SImilar triangles
find unknown / know sides
Which means (2x+2)/6 = (4x+2)/9
(X+1)/3 = (4x+2)/9
Multiply 9 to both sides
9/3 (x+1) = (4x+2)
3x+3 = 4x+2
1 = x
Answer: RK = 4, BC = 6
Step-by-step explanation:
In a similar triangle, the ratios of corresponding sides are the same. Thus, because of sides MK and AC, the triangles have a ratio of 6/9, or 2/3. Thus, you can determine that 2/3(4x+2)=2x+2.
Distribute
8/3x + 4/3 = 2x + 2
Subtract 2x
2/3x + 4/3 = 2
Subtract 4/3
2/3x=2/3
Divide by 2/3
x = 1
Then, simply plug-in 1 for x to get that RK is 4 and BC is 6
Hope it helps <3
Please help me on this question
Answers
Answer:
DE = 13.4 cm (to 1 decimal place)
Step-by-step explanation:
Given: ABCD is a square
BC = AC = 12 cm (opposite sides of a square are congruent)
E is midpoint of BC (given)
BE = EC = 12/2 = 6 cm
CD = AB = 12 cm (opposite sides of a square are congruent)
angle ECD is a right angle (interior angles of a square are 90 deg.)
Consider right triangle ECD
DE = sqrt(EC^2+CD^2) ............. pythagorean theorem
= sqrt(6^2+12^2)
= sqrt ( 36+144 )
= sqrt (180)
= 2 sqrt(45)
= 13.416 (to three dec. places)
A 20% discount on pants, and its price became 48 after the sale, what was its price before
Answers
Answer:
$60
Step-by-step explanation:
Represent the original price by p. Then:
1.00 p = original price
0.20 p = discount
0.80p = price after discount = $48
Solving for p, we divide both sides by 0.80:
$48
p = ---------- = $60
0.80
What is the measure of the acute angle formed by the lines 3x–5y=–15 and 4x+2y=7?
Answers
Answer:
85.6 degrees.
Step-by-step explanation:
The given equations of lines are
[tex]3x-5y=-15[/tex]
[tex]4x+2y=7[/tex]
We need to find the measure of the acute angle formed by these lines.
[tex]Slope=\dfrac{-\text{Coefficient of }x}{\text{Coefficient of }y}[/tex]
Slope of given lines are
[tex]m_1=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]
[tex]m_2=\dfrac{-4}{2}=-2[/tex]
Angle between two lines is
[tex]\tan \theta = \left|\dfrac{m_1-m_2}{1+m_1m_2}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{\dfrac{3}{5}-(-2)}{1+\dfrac{3}{5}(-2)}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{\dfrac{3+10}{5}}{\dfrac{5-6}{5}}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{13}{1}\right|[/tex]
[tex]\tan \theta = 13[/tex]
[tex]\theta = \tan^{-1}(13)[/tex]
[tex]\theta \approx 85.6^{\circ}<90^{\circ}[/tex]
Therefore, the acute angle between given lines is 85.6 degrees.
5•1000000 is how many times as large as 5•10000
Answers
Answer:
100 times
Step-by-step explanation:
5•1000000 has 2 more zeros than 5•10000 so that means the first number is 100 times larger than the second number! hope this helps and please mark as brainiest
The radius of a circle is 6. Using T, which equation expresses the ratio of the circumference of the circle to the circle's diameter?
Answers
Answer:
Option (B)
Step-by-step explanation:
The given question is incomplete; here is the complete question.
The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?
A) C/6 = π
B) C/12= π
C) C = 6πr
D) C = 12πr
Formula to get the circumference of the circle is,
C = 2πr = π × D
Where C = circumference of the circle
D = Diameter of the circle
By dividing with D on both the sides of the formula,
[tex]\frac{\text{C}}{\text{D}}=\pi[/tex]
Since, diameter 'D' = 2r,
[tex]\frac{\text{C}}{\text{2r}}=\pi[/tex]
[tex]\frac{\text{C}}{2\times 6}=\pi[/tex]
[tex]\frac{\text{C}}{12}=\pi[/tex]
Therefore, equation given in Option (B) will be the correct expression.
Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lemon, what is the probability that it HAS a chocolate center?
Answers
Answer:
45%
Step-by-step explanation:
There are 20 lollilops with lemon in total. 9 of them have a chocolate center. 9/20=0.45. To convert it into percentage you would multiply the number by 100. 0.45*100=45
The answer is 45%
"if it is known to be lemon" means we ignore any other flavor. I recommend covering up the other values, or you could highlight just the lemon column.
We have 9+11 = 20 lemon total. Of this 20 total, only 9 lemons have a chocolate center. So 9/20 = 0.45 = 45% of the lemon candies have a chocolate center.
Order from least to greatest: 0.4 5/8 38% 0.52
Answers
Answer:
The correct ans is....
38%
0.4
0.52
5/8
Step-by-step explanation:
Order form least to greatest means " Ascending order "
38 % = 38/100
0.4 = 40/100
0.52 = 52/100
5/8 = 62.5/100
Hope this helps.....
Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra pointsAnswer:38% ,0.4 ,0.52 ,5/8
Step-by-step explanation:
becuase when you turn them into decimals you will get
38%=0.38
0.4=0.4
0.52=0.52
5/8=0.625
Hopes this helps
A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8
Answers
Answer:
A = 56.5cm²
Step-by-step explanation:
r = 1.5cm
h = 4.5cm
A=2πrh+2πr2
A = 2πr(h+r)
A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )
A = 56.62cm²
[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]
Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]
Surface area of the cylinder in cm²?[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]
For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)
Where, r = radius of the cylinder and h is the height of the cylinder.
[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]
We are provided with,
h = 4.5 cmd = 1.5 cmThen, Radius = 1.5 cm / 2
By using formula,
⇛ 2πr(r + h)
⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²
⇛ 2 × 3.14 × 3/4( 5.25) cm²
⇛ 24.7275 cm²
❇ Option B
✤ TSA of the cylinder = 24.7275 cm²
━━━━━━━━━━━━━━━━━━━━
PLEASE HELP!!! Will give brainliest to quickest CORRECT answer. No explanation needed :) Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class taken. Rebekah's goal is for each customer to spend at least $100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal. Let C represent the number of classes a customer takes. 1) Which inequality describes this scenario? A. 35+C≤100 B. 35+3≥100 C. 35+12C≤100 D. 35+12C≥100 2) What is the minimum number of classes a customer can take for Rebekah to meet her goal?
Answers
35 dollar fee + 12 per class taken, to reach the amount of 100 :)
100-35= 65
65/12 = 5 if you aren’t using remainders, if you are it would be 5.416 repeated
The inequality that describes the scenario will be; 35 + 12C ≥ 100.
The minimum number of classes a customer can take for Rebekah to meet her goal is 6
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
One-time initial fee = $35
Additional fee per class = $12
Minimum target = $100
Number of classes = C
One-time initial fee + (Additional fee per class) x (Number of classes) ≥ Minimum target
The inequality that describes the scenario will be;
35 + 12C ≥ 100
Then Solve for C to know the minimum number of classes a customer can take for Rebekah to meet her goal,
12C ≥ 100 - 35
12C ≥ 65
C ≥ 65 / 12
C ≥ 5.42
Thus, The minimum number of classes a customer can take for Rebekah to meet her goal is 6
Learn more about inequality ;
brainly.com/question/14164153
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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 ft to 72 ft Thankyou!! please hurry tho lol
Answers
Answer:
5/9 is the simplest fraction for this ratio
Please help me on this question
Answers
Answer:
1st count the 1/2 circle with the formula
1/2 × phi × r²
=1/2 × 3,14 x 6²
=1/2 × 3,14 × 6²
=56,5
2st count the ractangle with the formhla
a × b
= 12 × 18
= 216
So we get 56,5+216= 272,5
Answer:
Hey there!
This problem will require a few steps to solve:
Step 1: Identify the "simple shapes" that make up the larger figure. Here, we see that there is a rectangle to the left, and a semicircle to the right.
Step 2: Find the area of the rectangle. This shouldn't be too hard, since we know that the formula for a rectangle's area is length times width. From the diagram, we have the length is 18cm, and the width is 12cm. 18 times 12=216.
Step 3: Find the area of the semicircle. This is slightly more difficult, but we know a semicircle is half of a circle, and the formula for circle area is [tex]\pi r^2[/tex]. Thus, the formula for a semicircle area is [tex]\frac{\pi r^2 }{2}[/tex]. We have d, or the diameter equal to 12, so the radius is 6, or half of the d. Plugging in the values, we find that the area for the semicircle is about 56.52.
Step 4: Add the areas of both simple shapes together: 216+56.52=272.52 cm^3.
Hope this helps :)
What effect will replacing x with (x−3) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 3 units down B. slides the graph 3 units right C. shrinks the graph by a factor of 3 D. slides the graph 3 units left
Answers
Answer:
B. slides the graph 3 units right
Step-by-step explanation:
Replacing x with x-h moves the graph 'h' units to the right. In this case, the graph is moved 3 units right by replacing x with x-3.
