The ordered pair R(-2, 7) is translated 5 units to the right and 2 units down.

1 answer:

8 0

Left and right affect domain. (x)

Up and down effects range. (y)

So,

-2+5 (because the right of the number line is an increase)

7-2 (because you are decreasing by going down)

You are left with:

R'(3,5)

I hope this helps!
~cupcake

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Find the slope of the line passing through the points (2,-9) and )1,-3)

nignag [31]

Hi there!

$\large\boxed{\text{slope =} 6}$

We can calculate slope using the following formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the corresponding points:

$slope = \frac{-9-(-3)}{2-1}$

Simplify:

$slope = \frac{-6}{1} = -6$

3 0

3 years ago

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Evaluate x2/y + x2/z for x = 6, y = -4, and z = -2.<br> -27<br> -9<br> 9<br> 27

Orlov [11]

<h2>Answer:</h2>

The value of the given expression is -27.

<h2>Given: </h2>

$\frac{x^{2}}{y}+\frac{x^{2}}{z}$

<h2>Step-by-step explanation: </h2>

In this problem, we need to solve the given expression in which we need to find the values of the variables. Since, the values of the variables are given, we can substitute the values and solve the equation as numerical calculation.

On substituting the values,

$\Rightarrow \frac{x^{2}}{y}+\frac{x^{2}}{z}=\frac{(6)^{2}}{-4}+\frac{(6)^{2}}{-2}$

On squaring the values in the numerator,

$\Rightarrow \frac{x^{2}}{y}+\frac{x^{2}}{z}=-\frac{36}{4}-\frac{36}{2}$

On cancelling the numerator and denominator,

$\Rightarrow \frac{x^{2}}{y}+\frac{x^{2}}{z}=-9-18$

On adding,

$\Rightarrow \frac{x^{2}}{y}+\frac{x^{2}}{z}=-27$

7 0

3 years ago

0.2^x= 25 <br> Solve to find x<br> Show steps

liq [111]

$0.2=\frac{2}{10}=\frac{1}{5}=5^{-1}\ \ \ |used\ a^{-1}=\frac{1}{a}\ for\ a\neq0\\\\25=5^2\\\\therefore\\\\0.2^x=25\to(5^{-1})^x=5^2\ \ \ |use\ (a^n)^m=a^{n\cdot m}\\\\5^{-1(x)}=5^2\\\\5^{-x}=5^2\iff-x=2\to\boxed{x=-2}\\\\check:\\\\0.2^x=0.2^{-2}=\left(\frac{1}{5}\right)^{-2}=5^2=25\ O.K.\ :)$