Answers
Answer:
either 2 or 2 1/2
Step-by-step explanation:
Since the pre-image gets bigger, the scale factor is larger than 1.
Related Questions
Which of the following statements is not true concerning the equation x^2 - c = 0 for c > 0
A. A quadratic system in this form can always be solved by factoring.
B. This equation is not considered to be a quadratic equation because it is not in the form ax^2 + bx + c = 0
C. The left-hand side of this equation is called a difference of two squares
D. A quadratic equation in this form can always be solved using the square root property.
Which of the following steps would not be necessary when using the square root property to solve a quadratic equation?
A. After applying the square root property, solve the resulting equations.
B. Isolate the quantity being squared
C. The square root property may be applied only if the constant is positive
D. When taking the square root of both sides, use plus-minus on the square root of the constant.
Which of the following steps can be performed can be performed so that the square root property may easily be applied to 2x^2 = 16?
A. The square root property requires a quantity squared by itself on one side of the equation. The only quantity is squared by 16, so divide both sides by 2 before applying the square root property
B. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X, so divide both sides by 16 before applying the square root property
C. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X, so divide both sides by 2 before applying the square root property
Answers
Answer:
The correct option are;
1) D. A quadratic equation of this form can always be solved using the square root property
2) B. Isolate the quantity being squared
3) C. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X so divide both sides by 2 before applying the square root property
Step-by-step explanation:
Where the quadratic equation is of the form x² = b, the square root property method can be used to solve the equation. Due to the nature of square roots, putting a plus-minus before the square root of the constant on the right hand side of the equation after taking the square roots of both sides of the equation, two answers are produced.
It is however to first isolate the term with the squared variable, after which the square root of both sides of the equation is taken.
What is the product? Two-thirds times eight-ninths
10/27
16/27
Two-thirds
Five-sixths
Answers
Answer:
16/27
[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]
How can I fin the remainder to 8,595 ÷ 24?
Answers
Answer:
358 and remainder of 3
Step-by-step explanation:
1. Divide it like any other problem
24 goes into 85, 3 times with 13 left overBring down the 9 and 24 goes into 139, 5 times with 19 left overThen bring down the 5 and 24 goes inside 195, 8 times with 3 left overSo your remainder would be 3
Hope this helps
Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region
Answers
Answer:
1.72
Step-by-step explanation:
AB tangent at D, AD = OD = 4
so triangle OAD is right angle with side of 4 and 4.
area of OAD = 1/2 * 4 * 4 = 8
Angle AOD = DAO = 45 deg.
so circular sector OCD area = area of circle O * 45/360
= pi * 4 * 4 * 45/360
= 2pi
Shade area ACD = trigangle OAD - circular sector OCD
= 8 - 2pi
= 1.72
It takes 250 \text{ g}250 g250, start text, space, g, end text of pasta and 240 \text{ ml}240 ml 240, start text, space, m, l, end text of sauce to make one batch of spaghetti, and it takes 600 \text{ g}600 g600, start text, space, g, end text of pasta and 700 \text{ ml}700 ml 700, start text, space, m, l, end text of sauce to make one batch of lasagna.
Answers
Answer:
250S + 600L > 4000
240S + 700L > 5000
Step-by-step explanation:
It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.
Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
Write an inequality that represents the condition based on the number of grams of pasta.
Write an inequality that represents the condition based on the number of milliliters of sauce.
Scenario 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S =the number of batches of spaghetti he makes
L =the number of batches of lasagna he makes.
We have, inequality based on the number of grams of pasta
250S + 600L > 4000
Scenario 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S= the number of batches of spaghetti he makes
L= the number of batches of lasagna he makes.
We have, inequality based on the number of milliliters of sauce
240S + 700L > 5000
The two inequalities are:
250S + 600L > 4000
240S + 700L > 5000
-5(-x - 1) + 4x – 1= 49
solve for x
Answers
Answer:
x=5
Step-by-step explanation:
-5(-x - 1) + 4x – 1= 49
Distribute
5x +5 +4x -1 = 49
Combine like terms
9x +4 = 49
Subtract 4 from each side
9x+4-4 = 49-4
9x = 45
Divide by 9
9x/9 =45/9
x = 5
Answer:
[tex]\huge \boxed{x=5}[/tex]
Step-by-step explanation:
[tex]{\Large -5(-x - 1) + 4x -1= 49}[/tex]
Expand brackets.
[tex]5x+5+ 4x -1= 49[/tex]
Combine like terms.
[tex]9x+4=49[/tex]
Subtract 4 from both sides.
[tex]9x+4-4=49-4[/tex]
[tex]9x=45[/tex]
Divide both sides by 9.
[tex]\displaystyle \frac{9x}{9} =\frac{45}{9}[/tex]
[tex]x=5[/tex]
Hi how do I solve this simultaneous equation
Answers
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
Choose the best definition for the following phrase: combining like terms (1 point)
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answers
Answer:
D. Terms that have identical variable parts
Step-by-step explanation:
Like terms refers to terms that have identical variable parts.
For example:
Given the expression
2xy + z + x + 3y - 5z + 4y - xy + 3x
The like terms in the expression are:
2xy - xy= xy
z - 5z= -4z
x + 3x= 4x
3y + 4y=7y
The new expression will be
xy - 4z + 4x + 7y
what is
[tex] \frac{3}{5} [/tex]
of 15
Answers
Answer:
9
Step-by-step explanation:
3/5 * 15
Rewriting as
3 * 15/5
3 * 3
9
The word "of" tells us we need to multiply.
So 3/5 of 15 means the same thing as (3/5) · (15).
Think of the 15 as 15/1 so when multiplying,
we can cross-cancel the 5 and 15 to 1 and 3.
So we have (3/1) · (3/1) which is 9/1 or just 9.
BRAINLIEST!!! Plz help ASAP
M(5, 7) is the midpoint of side RS.The coordinates of S are (6, 9). What are the coordinates of R?Please answer with full explanation and no non sense answers will reports. Will give brainiest to those who answered correctly with full explanation. Thank you.
Answers
Answer: R = (4, 5)
Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,
x coordinate- (6+x)/2=5
x=4
y coordinates- (9+y)/2=7
y=5
And therefore R is (4, 5)
In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. If your answer is not an integer, leave it in the simplest radical form. The question is multiple choice and the choices are below. A. 20[tex]\sqrt{2}[/tex] ft B. 10 ft C. 20 ft D. 10 [tex]\sqrt{2}[/tex] ft
Answers
Answer: D [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
It says that the measure of angle B is 45 degrees. So if we were to put in 45 degrees we could see that is is opposite AC and BC which we needs to find is the hypotenuse. So since we know the opposite of angle B is 10 ft we can using that to find the length of BC. Opposite hypotenuse is the sine function so we will use it to calculate the length of BC.
sin(45) = [tex]\frac{10}{BC}[/tex] multiply both sides by BC
BC sin(45) = 10 divide both sides by sin(45)
BC = [tex]\frac{10}{sin(45)}[/tex]
BC = [tex]10\sqrt{2}[/tex]
Answer:
[tex]\huge\boxed{Option\ D : \ BC = 10\sqrt{2}\ ft }[/tex]
Step-by-step explanation:
Since it's a right angled triangle, We'll use trigonometric rations.
Given that m∠B = 45°
So,
Sin B = opposite / hypotenuse
Where m∠B = 45°, opposite = 10 ft and hypotenuse = BC
Sin 45 = 10 / BC
[tex]\sf \frac{\sqrt{2} }{2} = \frac{10}{BC}[/tex]
BC = 20 / √2
Multiplying and Dividing by √2
BC = 20√2 / √(2)²
BC = 20 √2 / 2
BC = 10√2 ft
Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reasoning.
Answers
Answer:
Design 12Step-by-step explanation:
See the attached for missing part of the questionAs we see each design comprises of entrance and exit - each one tile and:
Design 1 has 1 row and 3 columns,Design 2 has 2 rows and 4 columns,Design 3 has 3 rows and 5 columns.So design x has x rows and two more columns according the pattern we observe.
The number of tiles of design x is:
x by (x + 2) and 2 more tilesWe can put it as equation to get 170 tiles and solve for x:
x(x+2) + 2 = 170x² + 2x - 168 = 0x² - 12x + 14x - 168 = 0x(x - 12) + 14(x - 12) = 0(x + 14)(x - 12) = 0x = - 14 (discarded as negative root)x = 12 (the solution)So this is a design 12
It has 12 rows, 14 columns, 1 entrance and 1 exit tiles, the total number is
12*14 + 2 = 170 tilesWhich transformation can be used to map one triangle onto the other select two options
Answers
Answer:
Reflection only and rotation then translation.
Step-by-step explanation:
im not sure
Answer:
look at the picture below
Step-by-step explanation:
Point P' (1, 5) is the image of P (-3,1) under a translation. Determine the translation. Use non-negative numbers.
Answers
Answer:
T: 4 units right, 4 units up
Step-by-step explanation:
From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.
From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.
T: 4 units right, 4 units up
The translation vector is (4, 4).
Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]P'(x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.If we know that [tex]P(x,y) = (-3, 1)[/tex] and [tex]P'(x,y) = (1,5)[/tex], then the translation vector is:
[tex]T(x,y) = P'(x,y) - P(x,y)[/tex]
[tex]T(x,y) = (1,5) - (-3, 1)[/tex]
[tex]T(x,y) = (4,4)[/tex]
The translation vector is (4, 4).
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Please answer this question now
Answers
Answer:
98.1km²
Step-by-step explanation:
The name of the Triangle in this question is: WXV
In the question, we have:
Angle W = ? Unknown
Angle X = 119°
Angle V = 34°
Side w =?
Side x = 26km
Side v = ?
Step 1
We have to find the missing third angle = Angle W
Sum of angles in a triangle = 180°
= Angle W = 180° - (119 + 34)°
= 180° - 153°
Angle W = 27°
Step 2
Find the sides w and v using the sine rule
Sine rule =
a/ sin A = b/ Sin B
Hence for triangle WXV
w/ sin W = x/ sin X = v/ sin V
We have the following values
Angle W = 27°
Angle X = 119°
Angle V = 34°
We are given side x = 26km
a) Finding side w
w/ sin W= x/ sin X
w/sin 27 = 26/sin 119
Cross Multiply
sin 27 × 26 = w × sin 119
w = sin 27 × 26/sin 119
w = 13.49587km
w = 13.5km
b) Finding side v
x / sin X= v/ sin V
26/ sin 119 = v/sin 34
Cross Multiply
sin 119 × v = 26 × sin 34
v = sin 34 × 26/sin 119
v = 16.62324km
v = 16.62km
Step 3
Detemine the area of triangle WXV
We make use heron formula
= √s(s - w) (s - x) (s - v)
Where s = w + x + v/ 2
s = (13.5 + 26 + 16.62)/2
s = 56.12/2
s = 28.06
Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)
Area of the triangle = √9628.137559
Area of the triangle = 98.123073530337km²
Approximately to the nearest tenth =98.1km²
A son is 8 years old. His father is 5 times as old. How old was the father when his son was born?
Answers
Answer:
he was 32
Step-by-step explanation:
8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32
Para la función f(x) = x + 6, ¿ cuál es
resultado de la función si x=2 ?
Answers
Answer:
f(x) = 8
Step-by-step explanation:
Como x = 2, simplemente lo sustituiría por x en la función y sumaría.
f(x) = 2+6
f(x) = 8
Solve 2(x - 5) = 48 - 4(x + 1)
Answers
2x - 10 = 48 - 4x - 4
6x = 54
x = 9
Answer:
x = 9
Step-by-step explanation:
first remove the brackets
2x - 5 = 48 - 4x + 1
then take numbers to the opposite sides
2x + 4x = 48 + 5 + 1
I have used addition because since your taking-5 to the other side it becomes+5 and -4 becomes +4
now solve
2x + 4x= 6x
48+5+1= 54
6x = 54
now solve for x
divide both sides by 6x
x = 9
solve for x 3(x+2) + 4(x-5)=10
Answers
Answer:
x= 3.43
Step-by-step explanation:
First, use the distributive property and multiply 3 by x and 3 by 2:
3x + 6
next use the distributive property again and multiply 4 by x and -5:
4x - 20
Combine Like terms: 3x + 6 + 4x - 20
3x + 4x = 7x
6 - 20 = -14
Now Add 14 to both sides: 7x - 14 = 10
10 + 14 = 24
Now divide 7 by both sides: 7x = 24
24 / 7 = 3.428571429 = 3.43
Answer:
x=24/7 or 3 3/7
Step-by-step explanation:
3(x+2) + 4(x-5)=10 parenthesis first
3x+6+4x-20=10
7x-14=10 addition on both sides
7x-14+14=10+14
7x=24
x=24/7
check the answer:
3(x+2) + 4(x-5)=10
3(24/7+2)+4(24/7-5)=10
72/7+6+96/7-20=10
168/7-14=10
24-14=10
10=10 correct
ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC
Answers
All sides are equal in an equilateral triangle and the perpendicular bisects the side too.
so BC will be bisected and the segments be 5 each.
you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.
[tex] 5^2+h^2=10^2[/tex]
$h^2=100-25=75$
$h=\sqrt{75}=5\sqrt3$
The lengths of two sides of an isosceles triangle are 5 and 9. The length of the third side could be
Answers
The length of the side can be both 5 and 9.
What is an Isosceles Triangle?An Isosceles Triangle is a triangle that has two equal sides.
The length of the sides of an isosceles triangle is given as 5 and 9
To determine the third side, the property of Triangle Inequality will be used
According to the property, the sum of any pair of a triangle’s sides is always greater than the third side.
If the third side is 5 then
5+5 > 9
10 >9
true
if the third side is 9 then
5+9 > 9
14>9
Therefore, the length of the side can be both 5 and 9.
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The ages of two groups of karate students are shown in the following dot plots: The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? Group A has greater variability in the data. Group A has less variability in the data. Group B has a lower range. Group B has a lower mean.
Answers
Answer:
Group A has less variability in the data.
Step-by-step explanation:
Examining the data for both groups virtually as represented on the dot plot, we can easily tell that the data in group A are less spread compared to group B data.
Group A has a range value of 10 (14 - 4), while group B has a range value of 19 (26 - 7).
Therefore, "Group A has less variability in the data."
Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot and no trucks entered or exited the lot. At 9:00 A.M., the number of trucks represented 1/5 of the parking lot's vehicles. How many cars entered between 8 A.M. and 9 A.M? A. 56 B. 112 C. 148 D. 192 PLZ EXPLAIN
Answers
Answer:
232 cars
Step-by-step explanation:
Let's say the number of cars that entered is c.
At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:
64/(88 + c) = 1/5
Cross-multiply:
88 + c = 64 * 5 = 320
c = 320 - 88 = 232
Thus, the answer is 232 cars.
Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.
~ an aesthetics lover
Answer:
232 cars entered between 8 and 9
Step-by-step explanation:
at 9 am there are 64 x 5 vehicles total = 320
320 - 64 - 24 = 232
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (:
Answers
Answer:
1) 502.65"
2) 367.57 yd
3) 141.37'
4) 471.24'
Step-by-step explanation:
Formula: volume of a cylinder = πr²h
1) v= πr²h 2) v= πr²h
v= π x 4² x 10 v= π x 3² x 13
v= 502.65" v= 367.57 yd
3) v= πr²h 4) v= πr²h
v= π x 3² x 5 v= π x 5² x 6
v= 141.37' v= 471.24'
I hope this helped
Answer:
1. 502.5 [tex]in^{3}[/tex]
2. 367.38 [tex]yd^{3}[/tex]
3. 141.3 [tex]cm^{3}[/tex]
4. 471 [tex]cm^{3}[/tex]
Step-by-step explanation:
The solution to finding the volume of a cylinder is: [tex]\pi r^{2} h[/tex].
They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.
We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!
3.14 · [tex]4^{2}[/tex] · 10 = 502.5
So, the volume of the first cylinder is 502.5[tex]in^{3}[/tex]
This, hopefully explains how to find the volume of the rest of the cylinders!! :)
Hope this helps!! <3
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. FYI it’s not b
Answers
Answer:
c.
Step-by-step explanation:
From the last row in the matrix z = 1.
From the second row:
y + 5z = -4
y = -4 -5(1) = -9.
From the first row:
x + -1 = -3
x = - 3 + 1
x = -2.
Please Help Me With This I Will Mark Brainliest If You Are Correct!!!!!!!!!!! Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. A). Increasing x 0 B). Increasing x > 0; Decreasing x 3 D). Increasing x > 3; Decreasing x < 3
Answers
Answer:
Increasing x> 3
Decreasing x< 3
Step-by-step explanation:
If you imagine drawing a tangent line (a line which touches a curve or shape at one point) at some point on the graph, you can see if a curve is increasing or decreasing at that point; and on the whole interval.
Doing this I find that the curve is decreasing on x< 3 and increases on x> 3
A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison.
Answers
3520/5280 = 2/3 of a mile per minute.
2/3 x 60 minutes per hour = 40 miles per hour.
40-30 = 10
Bison runs 40 miles per hour
The bison runs 10 miles an hour faster than the deer
Answer:
American bison is faster than the white-tailed deer by 10 more miles per hour.
Step-by-step explanation:
In 1 hour there are 60 minutes.
=> 3520 feet = 1 minute
=> 60 minutes = 3520 x 60
=> 211200 feet = 60 minutes
So, 211200 feet can be converted in miles.
=> 1 mile = 5280 feet
=> 211200 feet = x miles
=> x = 211200 / 5280
=> x = 40 miles per hour.
So, a white-tailed deer can run up to 30 miles per hour.
an American bison can run up to 40 miles per hour.
American bison runs 10 more miles per hour than a white-tailed deer.
27
What is the value of the expression
-x(y - 3)2 for x = -2, y = 6 ?
HELP! answer if you can plz and thank you..
Answers
Answer:
12
Step-by-step explanation:
Substitute the given numbers for the variables.
-(-2)(6-3)2
2(3)2
12
also being timed help!
Answers
Answer: 4
Step-by-step explanation:
WILL MARK BRAINLIEST Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.
Answers
Answer:
third option
Step-by-step explanation:
∠ E = 180° - (65 + 53)° = 180° - 118° = 62°, then
∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° , thus
Δ ABC ~ Δ FDE by the AA postulate
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AB}{FD}[/tex] , substitute values
[tex]\frac{x}{z}[/tex] = [tex]\frac{w}{r}[/tex] ( multiply both sides by z )
x = z × [tex]\frac{w}{r}[/tex]
The expression to solve for x would be x = r × w/z Therefore, the correct option is 3.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Since,
∠ E = 180° - (65 + 53)°
= 180° - 118° = 62°,
then
∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° ,
Thus, Δ ABC ~ Δ FDE are congruent by the AA postulate.
Since the triangles are similar then the ratios of corresponding sides are equal so,
BC / DF = AB / ED
Substitute;
x / r = w/ z ( multiply both sides by z )
x = r × w/z
Therefore, the correct option is 3.
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