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3 years ago

What property would you use to solve m+6=-4

Mathematics

1 answer:

Marrrta [24]3 years ago

8 0

You would subtract 6 from both sides in order to get m by itself. When you do this you get m=-10

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Which equation represents a line that is perpendicular to line PQ?

valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_{1}$ $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m= $\frac{(-5-7)}{(-4--8)}$

simplify

m= $\frac{-5-7}{-4+8}$

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

3 0

3 years ago

PLEASE HELP I AM STUCK ON THIS

Fofino [41]

Answer:

Step-by-step explanation:

This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:

$sin(x)=\frac{32}{58}$

Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:

$sin^{-1}($

Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!

4 0

4 years ago

An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation

nalin [4]

Answer:

$A=900(1+\frac{0.06}{2})^{2(t)}$

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 6% into a decimal:

6% -> $\frac{6}{100}$ -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

$A=900(1+\frac{0.06}{2})^{2(t)}$

4 0

3 years ago

3/12 = y/8 solve for y

PIT_PIT [208]

2 is the answer for y

6 0

4 years ago

I don’t understand this, someone help?

tekilochka [14]

From what I can see, it might be wanting you to find the distance of the lines connecting the 2 points. Use then distance formula to do that.

7 0

3 years ago