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3 years ago

6

Triangle ABC has vertices A(4,8) B(-3,2) and C(-1,6). Triangle ABC is dilated so that the new vertices are A'(12,24) B'(-9,6) an

d C'(-3,18). What is the scale factor?

1 answer:

Sav [38]3 years ago

5 0

Your scale factor is 3

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If f(x) = 5 + 4(x - 4)?,<br> what is f(7)?

grigory [225]

Answer:

Let's solve for f.

x=5+4(x−4)f(7)

Step 1: Flip the equation.

28fx−112f+5=x

Step 2: Add -5 to both sides.

28fx−112f+5+−5=x+−5

28fx−112f=x−5

Step 3: Factor out variable f.

f(28x−112)=x−5

Step 4: Divide both sides by 28x-112.

f(28x−112)28x−112=x−528x−112

f=x−528x−112

Answer:

f=x−528x−112

3 0

3 years ago

The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the r

insens350 [35]

Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

Area of a rectangle:

A rectangle has width $w$ and length $l$ . The area is the multiplication of these measures, that is:

$A = wl$

The length of a rectangle is the sum of the width and one.

This means that $l = w+1$ , or $w = l - 1$

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

$wl = 72$

$(l-1)l = 72$

$l^2 - l - 72 = 0$

Quadratic equation with $a = 1, b = -1, c = -72$ . So

$\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289$

$l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9$

$l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8$

Since the length is a positive measure, the length of the rectangle is of 9 units.

8 0

3 years ago

Henry drew the model below of his yard. He said the perimeter of the yard is 48 feet. He knows that one side is 9 feet wide. How

saw5 [17]

Answer:

15 feets

Step-by-step explanation:

Perimeter of a rectangle = 2(l + w)

l = Length ; w = width

Perimeter, p = 48

Length of all sides

p = 2(l + w)

48 = 2(l + 9)

48 = 2l + 18

48 - 18 = 2l

30 = 2l

l = 30/2

l = 15

Length of the sides = 15 feets

8 0

3 years ago

PLEASE ANSWER QUICKLY

igor_vitrenko [27]

Answer:

Point C

Step-by-step explanation:

If you retrieve 90 backwards, then you will get the point C.

6 0

3 years ago

Express the perimeter of one side of the square using s

r-ruslan [8.4K]

s is the length and w is width which the equation is 2s+2w=P

8 0

3 years ago