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Nikitich [7]
3 years ago
9

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

<h2>y = 3x - 5</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\y=mx+b\\m-slope\\b-y\ intercept

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\=========================

\text{From the graph we have two points (-3, 2) and (0, 1).}\\\text{Calculate the slope of the given line:}\\\\m=\dfrac{1-2}{0-(-3)}=\dfrac{-1}{3}=-\dfrac{1}{3}.\\\\\text{Therefore the slope of the perpendicular line is:}\\\\m=-\dfrac{1}{-\frac{1}{3}}=3\\\\\text{Put it and the coordinates of the point (3, 4) to the equation of a line:}\\\\4=3(3)+b\\4=9+b\qquad\text{subtract 9 from both sides}\\-5=b\to b=-5\\\\\text{Finally:}\\\\y=3x-5

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1.17-0.07a+(-3.92a) please help asap
Dovator [93]

Answer:

1.17-3.99a

Step-by-step explanation:

You can only combine like terms and 1.17 is not a like term to -0.07a and -3.92a

So you can only combine the like terms

4 0
3 years ago
Find two consecutive numbers whose squares differ by 45
Wittaler [7]

Answer:

The 2 numbers are 22 and 23

Step-by-step explanation:

let the two numbers be x and x+1

according to the question:

(x+1)^2 - x^2 = 45

x^2+1+2x - x^2 = 45

2x + 1 = 45

2x= 44

x = 22

the other number is x+1 = 22+1 = 23

therefore, the two consecutive numbers are 22 and 23

Hope it helped u....

5 0
3 years ago
The function h=-16t^2 +1700 gives you the height h, of an object in feet, at t seconds. How long will it take the object to hit
garik1379 [7]

Answer:

The object will hit the ground after 10.308 seconds.

Step-by-step explanation:

h(t) = -16t² + 1700

If you graphed this function, the object would be shown hitting the ground when it crosses the x-axis, in other words, when h = 0. So, to find the answer, just set h(t) equal to 0 and solve.

-16t² + 1700 = 0   Plug this into a calculator if you have one.

t = -10.308 and t = 10.308

Since time can't be negative, your answer will be the positive value, 10.308.


6 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
frutty [35]

Answer:

m∠7=34°

Step-by-step explanation:

m∠2=m∠8=146° because alternate interior angles are congruent.

m∠7=180-m∠8=34° because it is a linear pair.

3 0
3 years ago
Read 2 more answers
How do you do this? Yeah
Aliun [14]

Answer:

17

Step-by-step explanation:

You have to plug -2 into every x in the function, so:

(-2)^2 - 3 (-2) + 7

4 + 6 + 7

17

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3 years ago
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