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3 years ago

What is the equation of the line that passes through points (3,−1) and ( 5,−5)

Mathematics

1 answer:

Mila [183]3 years ago

7 0

Answer:

Step-by-step explanation:

m = (y2-y1) / (x2-x1)

m = (-5--1) / (5-3) = -2

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point from the slope you use

y - y1 = m ( x - x1 )

y - (-1) = -2 ( x - 3)

y = -2x + 6 - 1

y = -2x +5

please if you find my answer helpful mark it brainiest

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The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0

4 years ago

Is the formula x+1=3/4y linear?

pentagon [3]

Yes, it is.
Formula X+1=3/4y is linear.

7 0

3 years ago

in the xy-plane the graph of y=x^2 and the circle with center (0,1) ad radius 3 have how many points of intersection?

IceJOKER [234]

I think this attachment will help you

7 0

4 years ago

4x - 1<br> 2.<br> = x + 7<br> Can someone help please?

tatiyna

Answer:

6 $\frac{1}{3}$

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6 $\frac{1}{3}$

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13 $\frac{1}{3}$ = 13 $\frac{1}{3}$ in the end.

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Factor 4x^2 -6w+2x-12xw

kirill [66]

Answer:

2(2x+1)(x-3w)

7 0

4 years ago

Read 2 more answers