Answer:
sqrt(65)
Step-by-step explanation:
To find the distance between the two points
d = sqrt( (x2-x1)^2+ (y2-y1)^2)
= sqrt( (4-3)^2 +(1 - -7)^2)
= sqrt( 1^2 + (1+7)^2)
= sqrt( 1+8^2)
= sqrt(1+64)
sqrt(65)
[tex] \large\begin{gathered} {\underbrace{\boxed{ \bf {\red{Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \: (y_2 \: - \: y_1) ^{2} } }}}}}\end{gathered}[/tex]
Substuting the values[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ \bigg(4 \: - \: 3 \bigg) ^{2} \: + \: \bigg(1 \: - \: [ - 7 ]\bigg) ^{2} }[/tex]
[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ (1) ^{2} \: + \: (1 \: + \: 7 ) ^{2} }[/tex]
[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 1 \: + \: (8 ) ^{2} }[/tex]
[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 65 }[/tex]
[tex]\Large \purple \diamond \: \: \underbrace {\rm {{{\color{blue}{Distance \: = \: \sqrt{65} }}}}} \: \: \purple \diamond[/tex]
The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cost of the camera, exclusive of the sales tax?
Divide the amount of tax by the rate of tax.
3.20 / 0.02 = 160
The cost of the camera is $160
If the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.
What is sales tax?Sales tax is the tax that is paid by buyer to seller on the amount of goods sold.
How to find cost?We have been given that sales tax in a certain city is 2% and sales tax paid by man for camera is $3.20 and we have to find the cost of the product excluding sales tax.
Sales tax=tax percentage*total price
3.20=2/100*total price
Total price=3.20*100/2
=$160
Price excluding sales tax=total price - sales tax
=160-3.20
=157.80
Hence if the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.
Learn more about sales tax at https://brainly.com/question/9437038
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Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include common errors to watch out for when using each of these methods.
Answer:
Overall vertical is visually better, if done correctly
it forces you to "line up" all the common exponents.
The disadvantage is that it usually requires re-writing the problem, and it takes up space.
most problems are presented horizontally, that becomes the issue to locate the common exponents.
in both cases the biggest issue is people forget
that when subtracting "subtracting a negative is like adding a positive"
-5x - (-8x) = 3x [that is a positive 3x]
or:
-7x
- - 10x
-------------
3x
everyone misses those eventually so you have to watch out for that in both methods
Step-by-step explanation:
HELP PLEASE ITS TIMED!!!
Answer:
[tex]y=\sqrt[3]{-x}[/tex] and [tex]y=-\sqrt[3]{x}[/tex]
Step-by-step explanation:
The 4th and last one
please help with math properties I need 5 and 8 :)
Answer:
Step-by-step explanation:
Statements Reasons
1. m∠A = 6x - 10 1. Given
2. m∠B = 2x 2. Given
3. m∠C = 8x - 2 3. Given
4. m∠A + m∠B + m∠C = 180° 4. Triangle sum theorem
5. (6x - 10) + (2x) + (8x - 2) = 180° 5. Substitution
6. 16x - 12 = 180 6. Algebra
7. 6x = 192 7. Addition property of equality
8. x = 12 8. Division property of equality
A 90 ° angle is divided into 2 angles. Find the size of the angles. 5x+10 and 6x-41 Not drawn to scale
Answer:
65 and 25
Step-by-step explanation:
90=(5x+10)+(6x-41)
121=11x
11=x
Going back to the angles:
5(11)+10
=55+10
=65 this is the first angle
6(11)-41
=66-41
25 this is the second angle
HELPPPPPPPPPPPPPPPPPPPPPP
The answer is 0
Step-by-step explanation:
2(0)=0
6(0)=0
0+0=0
Answer:
0
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
For the x-values 1, 2, 3, and so on, the y-values of a function form
an arithmetic sequence that decreases in value. What type of
function is it?
A. Decreasing linear
ОО
B. Exponential growth
C. Exponential decay
d
D. Increasing linear
Answer:
A. Decreasing linear
Step-by-step explanation:
Find BC please help ASAP!!
A. 31.4km
B. 26.6km
C. 25km
D. 30.7km
Answer:
The choose (c)
C. 25km
Step-by-step explanation:
21²+14²=BC²
441+196=BC²
637=BC²
BC=25.2
BC=25 Km
Answer both please
Brainliest for correct
Answer:
28 centimeters a year, 5.5 years until 344 centimeters
Step-by-step explanation:
I did the calculations, forgive me if I am wrong.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
For 25) it's option C. -1/2
For 26) it's option D. 7π/6, 11π/6
Step-by-step explanation:
If you are finding sin−1 of a positive value, the answer will be between 0 and π/2. Using the unit circle, the angle with a sine of 1/2 in the first quadrant is π/6.
Answer:
-1/2
7π/6, 11π/6
Step-by-step explanation:
First problem:
31π/6 = 31/6 π = 5 1/6 π
A full circle is 2π radians. π radians = 180°
Start at 0 radians (positive x axis), and go 5 half circles counterclockwise.
You end up at π radians, or 180°, or the negative x axis.
Now go π/6 radians more counterclockwise.
You end up at 7π/6 or 210°.
Read the y-coordinate of the point on the unit circle.
Answer: -1/2
Second problem:
Look in the figure of the first problem.
The sine corresponds to the y-coordinate.
Look at the points on the circle, below the x-axis, that have a y-coordinate of -1/2.
They correspond to 7π/6 and 11π/6
PLEASE HELP ASAP
Find the length of the arc.
Answer Options:
A. 9π/2 km
B. 9π/3 km
C. 539π/12 km
D. 18π km
Answer:
A. 9π/2km
Step-by-step explanation:
the length of the arc is
s= angle in radians* radius
the angle in radians
135 = 3π/4
therefore length of arc
s= (3π/4)*6 = 9π/2km
Whitch number line represents all the values of x^2 = 64
Answer:
B
Step-by-step explanation:
8^2=64. -8^2 also =64.
Find LN given the mid-segment?
Answer:
LN=4
Step-by-step explanation:
Since BA is the mid-segment of ΔLMN the end-segment will be twice the length. [tex]2*2=4[/tex]
Evaluate 16x if x = - 3.
Answer:
16×-3
-48
I hope it's helps you
Answer:
-48
Step-by-step explanation:
16(-3) = -48
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of Z3?
1/2
4/3
5/6 = 75°
7 8
Answer:
105
Step-by-step explanation:
angle 6 and 2 are equal
angle 2 lies on a 180 line with angle 3
180-angle 2 =angle 3
180-75=105
1/6 of the age of a mother is the age of her daughter. If the difference of their ages is 35 years, find the age of the mother.
Answer:
24 6
Step-by-step explanation:
""6_6_6&6&6&6__5ddyfouoyfkykyky
Cho Hình chóp S.ABC Có đáy là tam giac đều cạch a. SA vuông góc với đáy, SA=a . Tính góc giữa SB và mặt phẳng đáy
Answer:
45 độ
Step-by-step explanation:
SA vuông góc (ABC) => góc SAB = 90 độ; góc giữa SB và mặt phẳng đáy = góc SBA
SA=AB=a => SAB là tam giác cân
KL: góc giữa SB và mặt phẳng đáy SBA = 45 độ
Pls help fast need answers ASAP
Answer:
1. (you could have used your calculator too ...)
625
46225
11.56
1.5625
0.3364
2. a, b, c, d are not prefect squares
3. a and c squares will end with a "1" in the units place.
4. b and c squares will end with a "6" in the units place.
5. a. 17
b. 161
6. 25
7. a. 144 + 145
b. 264 + 265
c. 480 + 481
d. 1012 + 1013
8. a, d, e
9. a. d
Step-by-step explanation:
1. is just plain calculator work
2. a. no perfect square
Property 1: A number having 2, 3, 7 or 8 at unit’s place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8.
2. b. no perfect square
Property 2: The number of zeros at the end of a perfect square is always even. In other words, a number ending in an odd number of zeros is never a perfect square.
2. c. no perfect square
the same as 2.b.
2. d. no perfect square
the same as 2.a.
2. e. is a perfect square (of 250)
3.
Property 6: The unit’s digit of the square of a natural number is the unit’s digit of the square of the digit at unit’s place of the given natural number.
for 81² : as 1²=1, therefore 81² will also end with a 1.
for 119² : as 9²=81 ends with 1, 119² will also end with a 1.
all others do not meet that criteria.
4.
again Property 6.
44² : 4²=16, therefore 44² will also end with a 6.
126² : 6² = 36, therefore 126² will also end with a 6.
5.
given a number n and its following number n+1, the difference between their squares is
(n+1)² - n² = n² + 2n + 1 - n² = 2n + 1
there cannot be any perfect square number in between n² and (n+1)², as the base number would have to be between n and n+1 (which is impossible).
a. 2×8 + 1 = 17
b. 2×80 + 1 = 161
6. as 5.
2×12 + 1 = 25
7.a.
n + n + 1 = 17²
2n + 1 = 17²
n = (17² - 1)/2 = 144
n+1 = 145
b.
2n + 1 = 23²
n = (23² - 1)/2 = 264
n+1 = 265
c.
n = (31² - 1)/2 = 480
n+1 = 481
d.
n = (45² - 1)/2 = 1012
n+1 = 1013
8.
Property 3: Squares of even numbers are always even numbers and square of odd numbers are always odd.
therefore, only 256, 1296 and 144 can be squares of even numbers.
9.
again Property 3.
therefore, only 529 and 361 can be squares of odd numbers.
india says that (3³)² is equivalent to 243 because the exponents should be added when simplifying the expression. explain why india is incorrect.
pls help
Answer: India is incorrect because you multiply the exponents are supposed to be multiplied not added
Step-by-step explanation:
a man cycles at the rate of 20km/h for 21/5 hours what distance will he cover
Answer:
16.67 km
Step-by-step explanation:
:)
Help asap
Whoever helps me I will pay you up thanks :)
Answer:
6.
2
1
3
10.9 to 1 place
7
a.) 36
b.)3
c.)65
d.)13
Step-by-step explanation:
Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18
4x - 5y = -12
-x + 5y = 18
Add the equations together:
4x + -x = 3x
-5y + 5y = 0
-12 + 18 = 6
So now you have:
3x = 6
Divide both sides by 3:
X = 2
Now you have the value of x, replace x with 2 in one of the equations and solve for y:
4(2) -5y = -12
8 -5y = -12
Subtract 8 from both sides:
-5y = -20
Divide both sides by -5:
Y = 4
The solution is x = 2 and y = 4 which is written as (2,4)
Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.
9514 1404 393
Answer:
₹1442
Step-by-step explanation:
The new price will be 1+3% = 1.03 times the old price.
₹1400 × 1.03 = ₹1442
the graph of a linear function is given below
Answer:
A
Step-by-step explanation:
The zero of the function is where the y-value is zero.
then it's -5
Which of the graphs represent y=-x^2
Answer:
Step-by-step explanation:
Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.
Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.
Find quotient (10c² + 49cd + 49d²) ÷ (5c + 7d)
plz answer correctly and with easy method.
(10c² +49cd+49d²) ÷ (5c+7d)
(5c+7d)(2c+7d) ÷ (5c+7d)
Delete (5c+7d)
= (2c+7d)
suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?
what is the measure of 3?
Answer:
∠ 3 = 60°
Step-by-step explanation:
∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then
4x + 36 + 3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Then
∠ 2 = 3x - 3 = 3(21) - 3 = 63 - 3 = 60°
∠ 2 and ∠ 3 are alternate angles and are congruent, so
∠ 3 = 60°
Answer:
60°
3(21)- 3 = 60
Step-by-step explanation:
4x+36 + 3x-3 = 180
x = 21
Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)
What is the smallest the average of those ten integers could be?
Explain your answer in complete sentences.
Answer:
8.4
Step-by-step explanation:
Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:
1, 2, 3, 4
However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:
9, 11
From there, we use the smallest integers (that are still above 11) possible:
12, 13, 14, 15
The average of these 10 integers is 84/10, or 8.4.
The median is still 10, because (9+11)/2 is 10.
Answer:
8 (or 8.4)
Step-by-step explanation:
First, the problem states the words: Distinct and positive.
That means that the smallest number we can use is 0.
We can make 10 blanks for 10 numbers for us to fill in.
_ _ _ _ _ _ _ _ _ _
Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.
In this case, our two numbers are the 5th and 6th blank.
Any two numbers can be used, as long as they are the same actual value from 10.
Let us first put in the numbers we can, which are the numbers before the two middle blanks.
0,1,2,3, _ _ _ _ _ _
To find the median between two numbers, we can do:
(a+b) divided by 2 = median
We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.
Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.
4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.
Now let's place the other numbers in for these two equations.
0,1,2,3,4,16,17,18,19,20
0,1,2,3,9,11,12,13,14,15
If we add the numbers of each together, we get:
0,1,2,3,4,16,17,18,19,20=100
0,1,2,3,9,11,12,13,14,15= 80
If we now divide each sum by 10 (to find the average) we get:
10
8
Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.
Since the smaller answer we got was 8, the answer must be 8.
(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process
