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3 years ago

Interpret the remainder

1 answer:

7 0

They need to buy six because they will end up with fifty four.
(they cant buy five because they would end up with forty five and that wouldnt be enough)

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What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

olchik [2.2K]

Option A: $\frac{1}{3}$ is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

$\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}$

Also,

$\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}$

Dividing A'C' by AC, we have,

$\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}$

Thus, $\frac{1}{3}$ is the dilation factor

3 0

3 years ago

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A recipe for baba ghanoush cause for twice as much olive oil as lemon juice

olganol [36]

Answer:

A. 4.4 I am doing good today

6 0

3 years ago

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Write a quadratic function in vertex form whose graph has the vertex

ELEN [110]

Answer:

y = $\frac{1}{2}$ (x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = $\frac{2}{4}$ = $\frac{1}{2}$

y = $\frac{1}{2}$ (x - 5)² - 2 ← in vertex form

4 0

2 years ago

I NEED HELP I WILL GIVE YOU 35 POINTS

Elena-2011 [213]

The solution to this equation is x = 0 or x = 1

To find the solution, you use Desmos and enter x+2 in both one and 2^x+1 in box two. It will graph the lines for you and you take the x-coordinate of the two places where the lines overlap, and they overlap at (0,2) and (1,3).

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3 years ago

Order each set of values from least to greatest

love history [14]

0.4 least 38% is next then 5/8 is the greatest

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3 years ago