What does this equal 2 [30/5] =

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

6 0

The correct answer is 12

Fittoniya [83]3 years ago

4 0

The answer of the equation is 12

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Determine the slope of the line passing through the points (5,6) and (-5,-1)m=____

EleoNora [17]

GIVEN:

We are given two points on a line and these are;

$A=(5,6),\text{ }B=(-5,-1)$

Required;

We are required to determine the slope of the line passing through these points.

Step-by-step solution;

The slope of a line is given by the formula;

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

The variables are;

$\begin{gathered} (x_1,y_1)=(5,6) \\ \\ (x_2,y_2)=(-5,-1) \end{gathered}$

We can now substitute these into the formula and then simplify;

$\begin{gathered} m=\frac{-1-6}{-5-5} \\ \\ m=\frac{-7}{-10} \\ \\ m=\frac{7}{10} \end{gathered}$

ANSWER:

The slope of the line passing through the given points is;

$m=\frac{7}{10}$

6 0

6 months ago

A square mirror has sides measuring 2 ft less than the sides of a square painting. If the difference between their areas is 32 f

kari74 [83]

Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.

Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.

We are to find the lengths of the sides of the mirror and the painting.

Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.

According to the given information, we have

$\textup{area of painting}-\textup{area of mirror}=32\\\\\Rightarrow (x+2)^2-x^2=32\\\\\Rightarrow x^2+4x+4-x^2=32\\\\\Rightarrow 4x=28\\\\\Rightarrow x=\dfrac{28}{4}\\\\\Rightarrow x=7.$