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worty [1.4K]
3 years ago
15

Add: 3/5x+10 + 2x/x^2-2x-8 simplify and state the domain Please help

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0
This should be the answer if I did the question right

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?
Lady_Fox [76]

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

5 0
4 years ago
PLEASE HELP 30 points!!!!<br><br>what is the slope of this line in the picture?
Alex Ar [27]
The answer is 1/4
because the answer 3/12 = 1/4
6 0
4 years ago
If y varies directly with x and y is 12 when x is 9, what is x when y is 4?
Zolol [24]

Answer:

3

Step-by-step explanation:

y/x=12/9=4/3

when y is 4 x is 3

8 0
2 years ago
On a sunny day, Larry notices that his shadow is 24 inches long. If it is 74 inches from the top of his head to the end of the s
kicyunya [14]

Answer:

70 inches

Step-by-step explanation:

Larry forms a right triangle with the ground (this is one leg of a right triangle) and he is 24 inches from his shadow (this is the second leg).

74 inches is the hypotenuse of the right triangle

use pythagorean theorem:  a^2 + b^2 = c^2

let h = Larry's height

h^2 + 24^2 = 74^2

h^2 + 576 = 5476

h^2 = 4900

h = sq rt 4900

h = 70

5 0
3 years ago
The class needs to collect 20.5 pounds of cans for recycling over the next 5 months. Students plan to collect 3.75 pounds each m
qwelly [4]

Answer:

18.75 pounds, 1.75 pounds collected less

Step-by-step explanation:

3.75 pounds = 1 month

20.5 pounds need to be collected

5 months

3.75 x 5 = 18.75

20.5 - 18.75 = 1.75

6 0
3 years ago
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