Someone please help me with number 4

Mathematics

1 answer:

AVprozaik [17]3 years ago

8 0

The answer is 10√3 because
10√3 is equal to approximately 17.32051 and the formula for finding the area of a square is length multipled by width so 10√3 x 10√3 is equal to 300 or 17.32051 x 17.32051 is equal to 300

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G(x) = –(x + 3)2 – 4?

professor190 [17]

Answer:

g(x)=-x-5

Step-by-step explanation:

Simplify parenthesis by distribution:

g(x)=-x-3+2-4

Addition and Subtraction:

-3+2=-1, -1-4=-5

Finalize since no more simplification:

g(x)=-x-5

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Find the slope of the line graphed below.<br><br> will give brainiest

Setler79 [48]

Answer:

3/-2 or -1.5

Step-by-step explanation:

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Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$