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3 years ago

What is the equation of the line that passes through the point (-1, -7) and has a slope of 2?

Mathematics

1 answer:

o-na [289]3 years ago

7 0

Answer:

(a,b)------>(-1,-7)let

now

m(x-a)=(y-b)

2(x+1)=(y+7)(where m=slope

2x+2=y+7

2x-y=7-2

2x-y=5 is a required equation.

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

7 0

3 years ago

Along the Oregon trail the trading post in fort Laramie, Wyoming, sold a 16 pound of beef je rky for 5.92 what was the cost per

MaRussiya [10]

You need to divide the amount from the quantity
So 5.92 divide by 166= $0.37 per pound.

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3 years ago

For his book report, Bobby made color copies and black-and-white copies. The black-and-white copies cost $2.75 in all. The color

Feliz [49]

16, i think it is the right answer.

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2 years ago

A grade has 81 girls and 72 boys. The grade is spilt into groups that have the same ratio of boys to girls as the whole grade. H

MariettaO [177]

There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.

16*1.125=18

So there are 18 girls in a group with 16 boys.

4 0

3 years ago

Read 2 more answers

(e) the equations of the asymptotes (enter your answers as a comma-separated list of equations.)

nexus9112 [7]

Answer:

x=3,x=1

y=2,y=-2

Step-by-step explanation:

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3 years ago