Answer:
Step-by-step explanation:
Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k
For the x coordinates:
C' = kC
x' = kx
-2 = k(-6)
-2 = -6k
Divide both sides by -6
k = -2/-6
k = 1/3
For the y-coordinates:
y' = ky
3 = 9k
Divide both sides by 9:
3/9 = 9k/9
1/3 = k
k = 1/3
Hence the scale factor of the dilation is 1/3
Answer:
The scale factor from C' to C is
3
But the scale factor from C to C' (the one you may have asked for in the question) is
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
What we already know is that we have line segments C and C' and we know their lengths.
C = (-6, 9)
C' = (-2, 3)
So the scale factor from C' to C can be easily known if we simply use the rules of division
-6 ÷ -2
and
9 ÷ 3
They both are equal to the outcome, 3.
So we now know that the scale factor from C' to C is 3.
But what about C to C'??
Yes we still have to do division, BUT (you may have guessed it already but), we must switch the positions that the numbers for dividend and divisor were.
-2 ÷ -6 =
0.33333333... or [tex]\frac{1}{3}[/tex]
3 ÷ 9 =
0.33333333... or [tex]\frac{1}{3}[/tex]
So we can decisively conclude that the scale factor of C to C' is [tex]\frac{1}{3}[/tex]
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∠A=10x+24 ∘ start color #11accd, angle, A, equals, 10, x, plus, 24, degrees, end color #11accd \qquad \green{\angle B=6x + 72^\circ}∠B=6x+72 ∘ start color #28ae7b, angle, B, equals, 6, x, plus, 72, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:
Answer:
x = 12
The measure of Angel A and Angle B = 144°
Step-by-step explanation:
Angle ∠ A= 10x+24∘
Angle ∠B=6x+72 ∘
Angle A and Angle B are Alternate interior angles hence, they are equal to each other.
Hence:
10x + 24 = 6x + 72
Collect like terms
10x - 6x = 72 - 24
4x = 48
x = 48/4
x = 12
The measure of ∠ A= 10x+24∘
=( 10(12) + 24)°
=( 120 + 24)°
= 144°
The Measure of Angle ∠B=6x+72 ∘
=( 6(12) + 72)°
= (72 + 72)°
= 144°
Answer:
∠A = 144 degrees
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
BRAINLIEST! Please help me out!
i'm so confused with this math problem. :(
[tex]5x=2/5[/tex]
is the answer maybe 2/5? i'm really confused. thanks! :)))
Answer:
The question is what does x mean. And x = 2/25 and in decimal form x equals 0.08.
Step-by-step explanation:
Hope this helps:) May I have brainliest?
What is T?
3/8=t-1/8
Answer:
t = 0.5
Step-by-step explanation:
sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open
Write the following equation in slope -intercept form : y - 3 = 4(x + 2)
Answer:
y=4x+11
Step-by-step explanation:
multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps
Kalvin purchases takeout and has it delivered by
FoodRush Delivery. FoodRush charges $0.29 per mile
for
delivery, plus the cost of food. If he orders a $5
value meal, write an equation that can be used to
determine t the total cost of his purchase if the
restaurant is d miles away.
Answer:
B
Step-by-step explanation:
5+0.29
Pleaseeee help with this question
prove (1-cos^2A)csc^2A=1
For all x,
sin²(x) + cos²(x) = 1
so we have
(1 - cos²A) csc²A = sin²A csc²A
and since csc(x) = 1 / sin(x), so the expression reduces to 1.
Construct an equation that can equal x = 6
Answer:
36/x=6
Step-by-step explanation:
Answer:
7x - 18 = 24
Step-by-step explanation:
So solve the problem:
7x - 18 = 24
7x - 18 - 18 = 24 + 18 ( subtract 18 from the left side and add it to the right )
7x = 42
7x / 7 = 42 / 7 ( divide both sides by 7 and the answer is 6)
x = 6 ( so x is equal to 6 )
HOPE IT HELPED
What does evaluate mean? I have to do a math problem for a post-test and I don’t know what the heck Evaluate means!
Answer:
Evaluate: to determine or set the value or amount of; appraise: to evaluate the property. to judge or determine the significance, worth, or quality of; assess: to evaluate the results of an experiment. Mathematics. to determine or calculate the numerical value of (a formula, function, relation, etc.).
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There are 28 students at a Halloween party, 12 of the students are boys. What is the ratio of students to girls at the party?
Group of answer choices
28:12
28:16
Answer:
28:16
Step-by-step explanation:
Answer:
28:16
Step-by-step explanation:
28-12 = 16
12 is the number of boys
16 is the number of girls
Therefore, 28:16 is the answer.
Hope this helps!
What is the product of 1/3 and 20.5?
Answer:
6.83333333333 (repeated)
Step-by-step explanation:
1/3 x 20.5= 6.83333333333...
i will give 100 points for a simple question but the first person who answered will get what is the capital city of afghanistan
Answer:
kabul is yhe capital city
kabul is the capital city of Afghanistan.
Candace runs a company that installs fences. She calculates the total cost C of installing a fence using the function rule C(x) = 5x + 25, where x is the length of the fence in feet.
Answer:
g
Step-by-step explanation:
what would be a expanded form and standard form for 10^{5}
Answer:
10 x 10 x 10 x 10 x 10
Step-by-step explanation:
Solve 4(x + 1) = 4x + 4.
A) No solution
B) 0
C) All real numbers
D) 1
Please help, and explain how you got the answer :)!
Answer:
all real numbers
Step-by-step explanation:
Simplifying
4(x + 1) = 4x + 4
Reorder the terms:
4(1 + x) = 4x + 4
(1 * 4 + x * 4) = 4x + 4
(4 + 4x) = 4x + 4
Reorder the terms:
4 + 4x = 4 + 4x
Add '-4' to each side of the equation.
4 + -4 + 4x = 4 + -4 + 4x
Combine like terms: 4 + -4 = 0
0 + 4x = 4 + -4 + 4x
4x = 4 + -4 + 4x
Combine like terms: 4 + -4 = 0
4x = 0 + 4x
4x = 4x
Add '-4x' to each side of the equation.
4x + -4x = 4x + -4x
Combine like terms: 4x + -4x = 0
0 = 4x + -4x
Combine like terms: 4x + -4x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
A video game costs $\$54$ dollars after it is released. Every two years, retailers lower the price by multiplying it by 2/3. How much does the game cost after six years?
Answer:
$6
Step-by-step explanation:
54 × ([tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex])
54 × [tex]\frac{1}{9}[/tex]
6
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The video game cost after six years is $16.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
A video game costs $54 dollars after it is released. Every two years, retailers lower the price by multiplying it by 2/3.
Therefore, the cost of the video game after 6 years is,
Cost of video game after 6 years = $54 × (2/3)³ = $16
Hence, the video game cost after six years is $16.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ2
What is the equation of the line that passes through the point (-2,-5) and has a
slope of -1
Three months ago, Santos could walk 2 miles in 40 minutes. Today he can walk 2 miles in 25 minutes.
Percentage:
Increase or Decrease?
Thank you ☺️
A trucking company wants to evaluate whether a decrease in the weight of their trucks helps to increase gas mileage. The company randomly selects 100 of their truck drivers, driving trucks that are identical in every way other than weight, to monitor gas mileage over a 1-year period. Results showed an association between truck weight and gas mileage. Which is a possible confounding variable for the provided scenario?
Answer:
D- the aggressiveness of the driver's driving style
Step-by-step explanation:
There will be 175 guests at a wedding. Instead of a wedding cake, the bride wants to serve cheesecake. If each cheesecake serves 12 people, how many should she order?
Answer:
She should order 15 cakes.
Step-by-step explanation:
175/12=14.58
We can't have part of a cake, so round to 15, so we have extra!
Answer:
15
Step-by-step explanation:
14.58 actually but if you round(which is better) it's 15
What is the slope of a line that is parallel to the graph of x + 3y = 5?
Answer: -1/3
Step-by-step explanation: If its parallel, the slope will be flipped, so the new slope is -1/3.
Answer:
Step-by-step explanation:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.
Kathrine uses 7/10 of a gallon of red paint to paint 3/5 of her wall. How many gallons of red paint will she use to paint her whole wall?
A.21/50
B.7/15
C.1 1/6
D.1 3/10
Answer:
It is 1 3/10
Step-by-step explanation:
please help out, using your knowledge of equilateral and isosceles triangles, find the value of x
Answer:
I think the other angles are 40 degrees excpet the "x" which is 100 also
Step-by-step explanation:
heres another im stuck on
im so bad at slopess
Answer:
1. e
2. d
3. b
4. c
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
For 0.00001 what would the exponent be? 10^?
Answer:
would be 1
Step-by-step explanation:
you take 0.00001 and keep multiplying that by your answer
S||P FIND VALUE OF Z !
Answer:
Step-by-step explanation:
Please excuse my handwriting lol.
help!!!I don’t get this!!
Answer:
C is the correct answer
Step-by-step explanation:
You would find the answer to that equation by finding the root of 30
So it's C
Hope I helped :)
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Determine whether the lines through each pair of points are parallel, perpendicular, or neither.
Line 1: (7, 6), (3, 18)
Line 2: (-2, -7), (-4, -1)
Answer:
line 1: neither
line 2: parallel
Step-by-step explanation:
if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money)
$13.35 rougly around that
what is -3x squared + 2y squared + 5xy - 2y + 5x squared - 3y squared in the simplest form??
Having a tough time understanding. :\
Answer:
B
Step-by-step explanation:
