Dilation involves changing the size of a shape (i.e. a circle)
The scale of dilation is 4
The circle passes through the origin.
So, one of the points is (0,0)
When dilated it passes through the point (4,0).
The scale factor (k) is calculated by calculating the distance between the new point and the old point.
So, we have:
[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]
This gives
[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]
Simplify
[tex]\mathbf{k = \sqrt{16 +0}}[/tex]
Add 16 and 0
[tex]\mathbf{k = \sqrt{16}}[/tex]
Take the square root of 16
[tex]\mathbf{k =4}[/tex]
Hence, the scale of dilation is 4
Read more about dilation at:
https://brainly.com/question/13176891
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
the difference of the square of two consecutive numbers is 19. If one number is 10, what is the other number?
a)12 . b)11 . c)9 . d)8.
If you can answer correctly and explain properly the methods.
I try to mark it as the brainiest.
Answer:
c
Step-by-step explanation:
10^2 - 9^2 = 100 - 81 = 19
what is x^2+6^2=10^2
Answer:
Follow the order of operations and then solve from there
x^2 is simplifed to its max
6^2 is 36
10^2 is 100
x^2+36=100
Follow it normally
x^2=64
√64 = 8
x=8
**edited, sorry for the incorrect answer**
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
First lets write our equation
[tex]x^2+6^2=10^2[/tex]
SolveWe will use PEMDAS, or also known as BOMDAS
[tex]x^2+36=100[/tex]
Subtract 36 from both sides
[tex]x^2=64[/tex]
Find the square root of 64
[tex]\sqrt{64} =8[/tex]
[tex]x=8[/tex]
Brainliest please :)
Which answer choice is NOT equivalent to 4(x + 3)
a. 4x + 12
b. x + 3x + (4 + 3)
c. x + x + x + x +12
d. 2x + 2x + (4 x 3)
Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12
what is the answer???????
Answer:
1) 1(1/32)
2) 1.8
Step-by-step explanation:
2(3/4)=11/4
2(2/3)= 8/3
(11/4)/(8/3)=33/32
33/32= 1(1/32)
1(4/5)=9/5
9/5=1.8
Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.
Given that I = PTR/ 100 , make T the subject of the formula.
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
Please help me with this homework
Answer:
C.
Step-by-step explanation:
Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
percentage change divided by real value, *100.
421-376 = 45
45/421 = approx. 0.10688361
*100 = 10.6%
Step-by-step explanation:
When playing a game of capture the flag how would a player best position themselves from being tagged and placed in the jail?
On their own team's side of the center line
On their opponent's side of the field, nearest the flags
Near the center line so they can move back and forth between the two sides
Near the back corner of the opponents flag area
Answer:
Near the center line so they can move back and forth between the two sides
Step-by-step explanation:
x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f
Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Answer:
(cost ---> length)
35 ---> 5
49 ---> 7
56 ---> 8
70 ---> 10
if you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school at what time will you get to school
What is the square of the sum of five and a number diminished by 6?
Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 118 ounces. of iced tea costs 2.99. How much will 30 ounces. cost
Answer:
About $4.98
Step-by-step explanation:
The cost of 30 ounces of iced tea will be $4.98.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
18 ounces. of iced tea costs 2.99. Then the ratio of cost to weight is calculated as,
⇒ $2.99 / 18
⇒ $0.166 per ounce
Then the cost of 30 will be calculated as,
⇒ $0.166 x 30
⇒ $4.98
The cost of 30 ounces of iced tea will be $4.98.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
what is 4x(1+8x) Distributed
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
Find the percent of increase or decrease. Round to the nearest tenth of a percent where necessary.
32 to 40.
Answer:
Step-by-step explanation:
bro i dont know sory
Answer:
The number increased by 25%.
Step-by-step explanation:
If you divide 32 into 40 (40 / 32), it will get you 1.25.
Subtract 1 from 1.25 (1.25 - 1.00) and you'll get 0.25.
0.25 is a 25% increase
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
Answer:
x: (4, 0)y: (0, -2)Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
__
To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
__
The x- and y-intercepts are (4, 0) and (0, -2), respectively.
_____
Additional comment
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
14
The points A, B and C lle on a straight line.
The length of AB is equal to the length of BC
What are the coordinates of point A?
*C(5,6)
*B12, 1)
Answer:
(-1,-4)
Step-by-step explanation:
First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
HELP AWARDING BRAINLIEST
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
Please 10 points for one question
Please don’t answer if you don’t know
Answer:
answer is 60° hope it will help you
someone help me pls
i need it now
just simply choose the letter of the correct answer
Answer:
Step-by-step explanation:
1. D
2. A
3. A
4. B
5. B
dont know the rest sorry
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
Sketch the graph of each line by identifying the x-and y-intercepts.
A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?
Answer:
1 1/2 cups
Step-by-step explanation:
3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1
Answer:
1.5 cups of sugar
Step-by-step explanation:
3/4 divided by 1/2 is 1.5
38
21
21
X
What is the value of X
Answer:
80
Step-by-step explanation:
honestly it depends on the question but if it's addition, this is the answer
dont know the answer pls help :(
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
parallel perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
Simplify the functions to [tex]y=mx+b[/tex]
A: [tex]y=1/4x-5[/tex]
and
B: [tex]y=1/4x+3/4[/tex]
Since these lines have the same slopes and different y-intercepts, they are parallel
Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.
Answer:
slope= -¾
[tex]y - intercept = 2 \frac{1}{4} [/tex]
Step-by-step explanation:
3x +4y= 9
Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.
Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.
4y= -3x +9
For the coefficient of y to be 1, divide both sides of the equation by 4.
[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]
[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]
[tex]slope = - \frac{3}{4} [/tex]
[tex]y - intercept = 2 \frac{1}{4} [/tex]
