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vesna_86 [32]
3 years ago
13

Find EF given E(-7, -2) and F(11, 3). Round your answer to the nearest thousandth (3 decimal places).

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

Answer:

18.682

Step-by-step explanation:

Given that :

E = (-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

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Firdavs [7]
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5 0
3 years ago
Which scale factors produce an expansion under a dilation of the original image?
alina1380 [7]

Answer:  The correct options are (A) 8 and (D) 7.

Step-by-step explanation:  We are given to select the correct scale factors that produces an expansion under a dilation of the original image.

The SCALE FACTOR of a dilation is defined as follows:

\textup{Scale factor}=\dfrac{\textup{length of a side of the dilated image}}{\textup{length of the corresponding side of the original image}}.

The dilation will be an expansion is the scale factor is greater than 1 (> 1),

and it will be a reduction if the scale factor is less than 1 (< 1).

Option (A) is

Scale factor = 8.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Option (B) is

Scale factor = 0.7.

Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (C) is

Scale factor = 0.8.

Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (D) is

Scale factor = 7.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Thus, the correct options are (A) 8 and (D) 7.

7 0
3 years ago
Read 2 more answers
Suppose xy=4 and dy/dt=-2. Find dx/dt when x=-3
nirvana33 [79]
Dy/dx = dy/dt  *   dt/dx

xy = 4

y + x(dy/dx) = 0      by implicit differentiation. 

x(dy/dx) = -y

dy/dx = -y/x

<span>dy/dx = dy/dt  *   dt/dx             dy/dt = -2
</span>
<span>-y/x = -2 *   dt/dx
</span>
y/(2x) = dt/dx

dt/dx =  y/(2x)

dx/dt = 2x/y
  
When x = -3,   xy = 4,  y = 4/x = 4/-3 = -4/3

dx/dt = 2*-3/(-4/3) = -6 *-3/4 = 18/4 = 9/2 = 4.5

dx/dt = 4.5
3 0
3 years ago
Read 2 more answers
What is the domain and range of y+3=2^x
Bad White [126]

Answer: y>-3 and x is all real numbers


5 0
3 years ago
Multiply. Write your answer as a fraction in simplest form 9/10 x 2/3
Oduvanchick [21]

Answer:

3/5

Step-by-step explanation:

9/10 and 2/3 can cross cancel

3 goes into 9, 3 times

2 goes into 10, 5 times

they both go into themselves once

our new fractions are 3/5 and 1/1 which equals 3/5

8 0
3 years ago
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