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3 years ago

Can i have help with 10?!!!!! PIC BELOW!

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

Answer:

=5y^2+2y+10

Step-by-step explanation:

2y−3y2+8y2+10

Simplify the equation to get whole numbers, multiply the like terms

I tried my best!

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Which inequalities are true? Select the four correct answers.

enyata [817]

The right answer is the First one the second one the third one in the fifth one

5 0

3 years ago

write an equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

dimaraw [331]

The equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is $y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

<h3><u>Solution:</u></h3>

Given that we have to write equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

Let us first find the slope of given line AB

<em><u>The slope "m" of the line is given as:</u></em>

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

Here the given points are A(-2,2) and B(5,4)

$\text {Here } x_{1}=-2 ; y_{1}=2 ; x_{2}=5 ; y_{2}=4$

$m=\frac{4-2}{5-(-2)}=\frac{2}{7}$

Thus the slope of line with given points is $\frac{2}{7}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

$\begin{array}{l}{\text {slope of given line } \times \text { slope of perpendicular bisector }=-1} \\\\ {\frac{2}{7} \times \text { slope of perpendicular bisector }=-1} \\ \\{\text {slope of perpendicular bisector }=\frac{-7}{2}}\end{array}$

The perpendicular bisector will run through the midpoint of the given points

So let us find the midpoint of A(-2,2) and B(5,4)

<em><u>The midpoint formula for given two points is given as:</u></em>

$\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { midpoint } \mathrm{m}(x, y) \text { is given as }$

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Substituting the given points A(-2,2) and B(5,4)

$m(x, y)=\left(\frac{-2+5}{2}, \frac{2+4}{2}\right)=\left(\frac{3}{2}, 3\right)$

Now let us find the equation of perpendicular bisector in point slope form

The perpendicular bisector passes through points (3/2, 3) and slope -7/2

<em><u>The point slope form is given as:</u></em>

$y - y_1 = m(x - x_1)$

$\text { Substitute } \mathrm{m}=\frac{-7}{2} \text { and }\left(x_{1}, y_{1}\right)=\left(\frac{3}{2}, 3\right)$

$y - 3 = \frac{-7}{2}(x - \frac{3}{2})\\\\y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

Thus the equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is found out

7 0

4 years ago

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per secon

castortr0y [4]

Answer:

Step-by-step explanation:

According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e

F = mg where;

F is the force of gravity

m is the mass of the body

g is the proportionality constant known as the acceleration due to gravity.

If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;

F = m*32.2

F =32.2m

Hence the required equation is F = 32.2m

5 0

4 years ago

Read 2 more answers

Darlene is building a rectangular fence. the length is 8 feet longer than the width. the perimeter of the rectangle is 76 feet.

Llana [10]

Answer:8 feet

Step-by-step explanation:

4 0

2 years ago

Ms.Friedman and Mrs.Elliot both teach sixth grade math. They share a storage closet. What is the total area of both rooms and th

Citrus2011 [14]

Answer:
Total area of both rooms and the storage = 2844 ft^2

Explanation:
Total area would initially be the summation of the area of Ms. Friedman's room and storage added to Mrs. Elliot's room and storage.
However, we are given that the storage is shared.
So now, the total area would be equal to Ms. Friedman's room and storage + Mrs. Elliot's room and storage - area of closet

Now, we can notice that:
Ms. Friedman's room and storage = Mrs. Elliot's room and storage

Therefore:
Total area = 2*Ms. Friedman's room and storage - area of storage

1- getting area of Ms. Friedman's room and storage:
length = 36 ft
width = 40 ft
area of Ms. Friedman's room and storage = length * width
area of Ms. Friedman's room and storage = 36 * 40
area of Ms. Friedman's room and storage = 1440 ft^2

2- getting area of closet:
length = 36 - 30 = 6 ft
width = 40 - 34 = 6 ft
area of closet = length * width
area of closet = 6 * 6 = 36 ft^2

3- total area of both rooms and the storage:
Total area = 2*Ms. Friedman's room and storage - area of storage
Total area = 2*1440 - 36
Total area = 2844 ft^2

Hope this helps :)

8 0

3 years ago