The slope of a graph is rise over run. So count how many units up you move and put that over how many units right you move. If you are moving down or to the left it would be negative.

8 0

2 years ago

Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5

Romashka [77]

Step-by-step explanation:

4x-1

x+-×+1=5

×-5

there are no terms like that

7 0

1 year ago

1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang

lana66690 [7]

Answer:

$h=\frac{\sqrt{3}}{2}b\ units$

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)

see the attached figure to better understand tyhe problem

Let

h ----> the height of an equilateral triangle

b ---> the length side of an equilateral triangle

In the right triangle ABD

Applying the Pythagorean Theorem

$AB^2=AD^2+BD^2$

substitute the given values

$b^2=(\frac{b}{2})^2+h^2$

$b^2=\frac{b^2}{4}+h^2$

$h^2=b^2-\frac{b^2}{4}$

$h^2=\frac{3}{4}b^2$

square root both sides

$h=\frac{\sqrt{3}}{2}b\ units$

7 0

2 years ago