1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bad White [126]
4 years ago
12

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 

0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin. What is the scale factor of the dilation? 0.25 0.5 2 4

Mathematics
2 answers:
Dafna1 [17]4 years ago
6 0

This is the answer the other is right

Leviafan [203]4 years ago
5 0
FFirst, we have the following points:
 A (5, 3) 
 B (3, 7) 
 C (1, 4) 
 We multiply these vertices by a factor k to obtain the new vertices: 
 A '(k * 5, k * 3) = (1.25, 0.75) 
 B '(k * 3, k * 7) = (0.75, 1.75) 
 C '(k * 1, k * 4) = (0.25, 1)
 We note that the value of k is: k = 1/4
 Answer:
 the scale factor of the dilation is:
 0.25
You might be interested in
Can someone plz help
GenaCL600 [577]

Step-by-step explanation:

A=2πrh+2π {r}^{2}

= 2\pi.r(r + h)

= 2π(14).(14+29)

=2π .14.43

2 \times  \frac{22}{7}  \times 14 \times 43

= 2 \times 22 \times 2 \times 43

=3784 mm²

8 0
3 years ago
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip is drawn.
Harlamova29_29 [7]

Answer:

(A) 0.04

(B) 0.25

(C) 0.40

Step-by-step explanation:

Let R = drawing a red chips, G = drawing green chips and W = drawing white chips.

Given:

R = 8, G = 10 and W = 2.

Total number of chips = 8 + 10 + 2 = 20

P(R) = \frac{8}{20}=\frac{2}{5}\\P(G)=  \frac{10}{20}=\frac{1}{2}\\P(W)=  \frac{2}{20}=\frac{1}{10}

As the chips are replaced after drawing the probability of selecting the second chip is independent of the probability of selecting the first chip.

(A)

Compute the probability of selecting a white chip on the first and a red on the second as follows:

P(1^{st}\ white\ chip, 2^{nd}\ red\ chip)=P(W)\times P(R)\\=\frac{1}{10}\times \frac{2}{5}\\ =\frac{1}{25} \\=0.04

Thus, the probability of selecting a white chip on the first and a red on the second is 0.04.

(B)

Compute the probability of selecting 2 green chips:

P(2\ Green\ chips)=P(G)\times P(G)\\=\frac{1}{2} \times\frac{1}{2}\\ =\frac{1}{4}\\ =0.25

Thus, the probability of selecting 2 green chips is 0.25.

(C)

Compute the conditional probability of selecting a red chip given the first chip drawn was white as follows:

P(2^{nd}\ red\ chip|1^{st}\ white\ chip)=\frac{P(2^{nd}\ red\ chip\ \cap 1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\=\frac{P(2^{nd}\ red\ chip)P(1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\= P(R)\\=\frac{2}{5}\\=0.40

Thus, the probability of selecting a red chip given the first chip drawn was white is 0.40.

6 0
3 years ago
Find the equation of a circle with a center at (7, 2) and a point on the circle at (-2, -5).
KatRina [158]

Answer:

(x-7)^2 + (y-2) ^2 = 130

Step-by-step explanation:

We need to find the length of the radius

the length of the radius is found by using the distance formula

r = sqrt(  ( -2-7)^2+( -5 -2)^2)

    sqrt(  ( -9)^2+( -7)^2)

    sqrt( 81+49)

    sqrt(130)

The formula for a circle is

(x-h)^2 + (y-h) ^2 = r^2

where (h,k) is the center and r is the radius

(x-7)^2 + (y-2) ^2 = 130

4 0
3 years ago
Please tell me what i should select ​
nordsb [41]
Add units to the axis labels :)
4 0
3 years ago
Read 2 more answers
Write an<br> equation of the line that passes through each pair of points.<br> (-3,9), (-3,-5)
fgiga [73]

Answer:

since slope(m) = y2 -y1/x2- x1

-5 - 9/ -3 - (-3)= -14/0

m = -14/0 (undefined)

using the formula

y-y1 = m(x -x1)

y - 9 = -14/0(x - (-3)

y-9 = -14/0(x + 3)

0 = -14( x+3). (cross multiplication)

0 = -14x - 42

14x = -42

x = -3( equation of the line)

7 0
2 years ago
Other questions:
  • Sal has already finished 5/9 of the 45 math problems he was assigned. If each math problem took him Three-fifths of a minute to
    14·1 answer
  • On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. what are the coordinates of the refl
    10·1 answer
  • If a coin is tossed and a number cube is rolled what is the probability of getting heads and the number cube shows 3?
    13·1 answer
  • 4(1 - x) + 3x = - 2(x + 1)
    9·2 answers
  • Reduce the ratio to the lowest term: 60 : 75
    12·2 answers
  • How t f do I lable this I get so many of these and I've never been thought it
    8·2 answers
  • An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a
    15·1 answer
  • Write a fraction with a denominator of 9. The fraction should be less than half​
    10·1 answer
  • Help will give brainliest
    6·1 answer
  • I NEED HELP ASAP!!!!!!!!<br> QUESTION BELOW
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!