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3 years ago

Someone please help me please

Mathematics

1 answer:

eduard3 years ago

4 0

90 + 3 + 4 = 97

Your answer is 97.

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

2 years ago

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What is the equation of the line shown in this graph?

lara [203]

The correct answer is a

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Math is my answer correct??

matrenka [14]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Here's the solution ~

The given points are : (-7 , -4) and (1 , 1)

now, let's use distance formula to find the distance between them !

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:\sqrt{(x_2 - x_1)² +( y_2 - y_1)² }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{( - 7 - 1) {}^{2} + ( - 4 - 1) {}^{2} }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{( - 8)² +( - 5)² }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{64 + 25}$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{89}$

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2 years ago

A tree that grows 3 feet every 5 years is growing at a rate of ___ feet per year.

Anni [7]

Answer: 0.6

Reason: 3 divide by 5 is 0.6

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Find the slope of every line that is parallel to the graph of the equation. Y= 1/2x+4

Ostrovityanka [42]

For a line to be parallel it has to have the same slope as the original line. so the slope is 1/2

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2 years ago