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Jobisdone [24]
3 years ago
12

The las answer is Center E and scale factor 1/4 pleaseee helpp

Mathematics
1 answer:
hoa [83]3 years ago
4 0
<h3>Answer: D) center E, scale factor 1/4</h3>

======================================

Explanation:

Point E is the center of the dilation (we can think of this as the origin point). This is because point E is in the same exact location as point E'. This is a fixed point. The other points move.

To find the scale factor, divide E'F' over EF

scale factor = (E'F')/(EF)

scale factor = 2/8

scale factor = 1/4

Keep in mind that EF = EF'+F'F = 2+6 = 8.

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Gina is a certain age (g). Gina's older sister is twice Gina's age. Gina's brother is half Gina's age. The sum of their ages is
aliina [53]

Answer:

Gina is 12 years old

Step-by-step explanation:

First,  we will have to write these statements mathematically and then solve.

Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.

The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)

The next statement "Gina's brother is half Gina's age" can be mathematically written as y = \frac{x}{2} ---------------------------------------(2)

Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)

We can now proceed to solve;

Substitute equation (1) and equation(2) into equation (3)

x + y + z = 42

x +  \frac{x}{2} + 2x = 42

Multiply through by 2

2x + x + 4x = 84

7x = 84

Divide both-side of the equation by 7

\frac{7x}{7} = \frac{84}{7}

x = 12

Therefore, Gina is 12 years old

7 0
3 years ago
Jacob can take any one of three routes from school to the mall, and one of five possible routes from the mall to his
Minchanka [31]

Answer:

8

Step-by-step explanation:

6 0
2 years ago
Solve 3m+7/2=−2m+5/2 what is m
GenaCL600 [577]
Solve for m:3 m + 7/2 = 5/2 - 2 m
Put each term in 3 m + 7/2 over the common denominator 2: 3 m + 7/2 = (6 m)/2 + 7/2:(6 m)/2 + 7/2 = 5/2 - 2 m
(6 m)/2 + 7/2 = (6 m + 7)/2:(6 m + 7)/2 = 5/2 - 2 m
Put each term in 5/2 - 2 m over the common denominator 2: 5/2 - 2 m = 5/2 - (4 m)/2:(6 m + 7)/2 = 5/2 - (4 m)/2
5/2 - (4 m)/2 = (5 - 4 m)/2:(6 m + 7)/2 = (5 - 4 m)/2
Multiply both sides by 2:6 m + 7 = 5 - 4 m
Add 4 m to both sides:6 m + 4 m + 7 = (4 m - 4 m) + 5
4 m - 4 m = 0:6 m + 4 m + 7 = 5
6 m + 4 m = 10 m:10 m + 7 = 5
Subtract 7 from both sides:10 m + (7 - 7) = 5 - 7
7 - 7 = 0:10 m = 5 - 7
5 - 7 = -2:10 m = -2
Divide both sides of 10 m = -2 by 10:(10 m)/10 = (-2)/10
10/10 = 1:m = (-2)/10
The gcd of -2 and 10 is 2, so (-2)/10 = (2 (-1))/(2×5) = 2/2×(-1)/5 = (-1)/5:Answer: m = (-1)/5
5 0
3 years ago
Read 2 more answers
Is this the correct answer?
andreev551 [17]

Answer:

y = 3x + 5

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define variables</u>

Slope <em>m</em> = 3

y-intercept <em>b</em> = 5

<u>Step 2: Write linear equation</u>

y = 3x + 5

6 0
3 years ago
Laura brought a new set of headphones for $4.45 and a video game for 9.55. if she paid with a $20 bill, how much change did she
Aliun [14]

Answer:

first we should add both purchase price

$4.45 + $9.55 = $14

so that

$20 - $14

=$6

6 0
2 years ago
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