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
(4)/(12)= ()/(3) what makes this equivalent
Answer:
1/3
Step-by-step explanation:
4/12 divide by 4 to the top and bottom you get 1/3
[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]
giving Brainliest to whoever answer both
What is the y-intercept of the linear equation x minus one-half y = negative 6? –6 –3 0 12.
Answer:
(0,12) or 12
Step-by-step explanation:
x - 1/2y = -6
When you make x = 0,
-1/2y = -6
y= 12
Hope this helps!
Answer:
12
Step-by-step explanation:
got it right on edge2021
What are the sums for both of those?
Here’s a table that represents the situation. Find the cost of 1 gigabyte
Answer:
.25 dollars or 25 cents
Step-by-step explanation:
128/2=64 32/2=16
64/2=32 16/2=8
32/2=16 8/2=4
16/2=8 4/2=2
8/2=4 2/2=1
4/2=2 1/2=(1/2)
2/2=1 (1/2)/2=(1/4)
1/4 of 1 dollar is 25 cents
The measure of side c is 135 inches and
the measure of side a is 55 inches. What is
the length of side b?
Answer:
The length of side b is 80.
Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.
Answer:
N=48
Step-by-step explanation:
2^9+2^4+48=576
576 is a perfect square
The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48
The number is given as:
[tex]2^9 + 2^4 + N[/tex]
Evaluate the exponents
[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]
Add 512 and 16
[tex]2^9 + 2^4 + N = 528 + N[/tex]
The above equation means that:
The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.So, the smallest value of the equation is 576.
The equation becomes
[tex]528 + N = 576[/tex]
Subtract 528 from both sides
[tex]N = 576 - 528[/tex]
[tex]N = 48[/tex]
Hence, the least value of N is 48
Read more about perfect squares at:
https://brainly.com/question/1538726
Travis Scott sold 38 papers in 2 hours. At that rate, how many papers would he sell in 3 hours?
Answer:
none cuz Travis don't sell papers
Step-by-step explanation:
I'm kidding so 38 ÷ 2 = 19 so 38 + 19 or 19 × 3 = 57
In the inequality -2 < 2, which number appears farther right on a number line and why?
Answer:
2
Step-by-step explanation:
2 is farther right on the number line because it is a positive number while -2 is negative.
942 flowers in157 vases= flowers per vase
Answer : 942/157 = 6
find the slope and y intercept.
Answer:
slope= -2/5
y intercept b= (0,2)
10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE
please answer this I’ll mark brainliest and follow
this is the correct answer
Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60
Answer:
4 lipsticks
Step-by-step explanation:
15+15=30, 30+30=60
parallel perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
Line A can be simplified to 1/5x = y.
Line B can be simplified to y = 1/5x + 16.
They both have the same slope, 1/5, so they will be parallel.
Answer:
Parallel
Step-by-step explanation:
Same thing as the last one. Put it in [tex]y=mx+b[/tex]
A: [tex]y=1/5x[/tex]
and
B: [tex]y=1/5x+16[/tex]
These lines are parallel because they have the same slopes, but different y-intercepts.
-12=24+b how do I solve this
Answer:
b = -9
Step-by-step explanation:
-12 = 24 + 4b [tex]\longmapsto\\[/tex] Subtract 24 from both sides
-12 - 24 = 24 + 4b - 24
-36 = 4b [tex]\longmapsto\\[/tex] Divide all sides by 4
-36 ÷ 4 = 4b ÷ 4
-9 = b
-Chetan K
Answer:
-9 = b
Step-by-step explanation:
-12 = 24 + 4b
-12 - 24 = 4b
[tex]\frac{-36}{4} = \frac{4b}{4} \\[/tex]
Hope this helps!
‼️I NEED IT RN‼️
Annabelle has a loyalty card good for a 2% discount at her local pharmacy. If the total
cost, before tax and discount, of all the items she wants to buy is c, which expression
does NOT represent the cost after the discount?
A- 0.98c
B- 1c - 0.02c
C- (1 - 0.02)c
D- C -0.02
Answer:
Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.
Step-by-step explanation:
C
What is determinant ?
Answer:
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.
Answer:
It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.
What’s the next 3 terms of the sequence -2,8,-32?
Answer:
Step-by-step explanation:
This is a geometric series.
First term = - 2
Ratio = second term ÷ first term = 8 ÷ (-2) = -4
Next three terms are:
-32 *(-4) = 128
128*(-4) = - 512
-512*(-4) = 2048
Answer:
The next 3 terms would be 128, -512, 2048
Step-by-step explanation:
Since we are dealing with a Geometric Sequence we use this formula [tex]a_{n}=a_{1} *r^{n-1}[/tex]
Since the first term([tex]a_{1}[/tex]) is -2 and for us to find R we have to divide 8 by -2 = -4
So we would rewrite the equations to find the next three terms as
[tex]a_{4}=-2*-4^{4-1}=-2*-4^3=128[/tex]
[tex]a_{5}=-2*-4^{5-1}=-2*-4^4=-512[/tex]
[tex]a_{6}=-2*-4^{6-1}=-2*-4^5=2048[/tex]
find the solution to the following system by substitution
4x+y=40
There are many ways of doing it, but here is mine.
Step-by-step explanation:
x = 6, y = 16
So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.
2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9
Answer:
2x^(3) - 4x^(2) - 4x - 4.
Step-by-step explanation:
2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9
Bring like terms together:
= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9
Now simplify:
= 2x^(3) - 4x^(2) - 4x - 4.
Answer:
[tex]2x^3-4x^2-4x-4[/tex]
Step-by-step explanation:
Subtract the numbers
[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]
[tex]2^3-3^2-4-3^2+2^2-4[/tex]
Combine like terms
[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Rearrange terms
[tex]2x^3-4x^2-4-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Solution:
[tex]2x^3-4x^2-4x-4[/tex]
Find the value of m when 0.21: 6.3= 0.06: m
Answer:
1.8
Step-by-step explanation:
0.21 : 6.3 = 0.06 : m
=> 0.21/6.3 = 0.06/m
=> m = 0.06 x 6.3 / 0.21
m = 1.8
Hope this helps!!
Would you please help me solve for x it should be a degrees but I’m not sure what it is
Answer:
x=15º
Step-by-step explanation:
A triangle's angles add up to 180º.
∠A=30º
∠C=180º-45º
∠B=xº
To find ∠B we have to first find ∠C.
Since ∠C does not have an angle, knowing that a straight line is 180º we can subtract it from 45º to find ∠C.
180-45=135
∠C=135º
Now add ∠A and ∠C.
30+135=165
Subtract the sum from 180º
180-165=x
x=15º
Hope this helps :)
Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
Answer:
72
Step-by-step explanation:
you take 85 * 9
85 = # of seats
9 = # of buses
then you get 765
next, you take 765 - 693
765 = # of seats
693 = # people who bought tickets for a trip
finally you get 72
72 = # of empty seats
find the slope and y intercept.
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
2 points are marked already :
(-3, 4) (3, -4)
x changes by +6 (from -3 to 3)
y changes by -8 (from 4 to -4)
the slope is -8/+6 = -8/6 = -4/3
the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).
so, the y-intercept is 0.
Team math Minds have a score of - 200 They answered five 30-point questions correctly. What is their new score?
HELPPP PLZ I NEED TO PASS ‼️‼️‼️‼️‼️‼️
Suppose a binomial trial has a probability of success of 0.7, and 75 trials are performed. What is the standard deviation of the possible outcomes. Round your answer to two decimal places
Answer: 8.22
Step-by-step explanation:
What is the measure of angle f
Answer:
48°
Step-by-step explanation:
1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.
2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].
Hence,
[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]
3) Find the angle of F by substituting 11 into x.
[tex]=5(11)-7\\=55-7\\=48[/tex]
Therefore, angle F has a measure of 48°.
please help!! this is for my geometry class
Answer:
x = 48°
Step-by-step explanation:
The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°
The 3 angles on the base line sum to 180° , that is
60° + 54° + base = 180°
114° + base = 180° ( subtract 114° from both sides )
base = 66°
The triangle on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then
x = 180° - (66 + 66)° = 180° - 132° = 48°