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scoray [572]
4 years ago
7

Determine the equation for a line perpendicular to y=1/3+4 and has an x-intercept of 2.

Mathematics
2 answers:
Bumek [7]4 years ago
5 0

Answer:

y = -3x + 6

Step-by-step explanation:

Any line perpendicular to

y = (1/3)x + 4

has a slope of -1/(1/3) = -3

and equation

y = -3x + b  .................(1)

If the line has an x intercept of 2 at (0,2), then

0 = -3(2) + b

solving

b = 6

By substituting b=6 into (1), the line required

y = -3x + 6

nevsk [136]4 years ago
3 0

Answer:

y = -3x + 2

Step-by-step explanation:

y= \frac{1}{3}x +4

Slope m_{1}=\frac{1}{3}

slope of the perpendicular line m_{2} = \frac{-1}{m_{1}} = \frac{-1}{\frac{1}{3}}=-1*\frac{3}{1}=-3\\

b= 2

Slope intercept form of required line: y = mx + b

y = -3x + 2

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Given the triangle below, what is the measure of x to the nearest foot?
luda_lava [24]

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

8 0
2 years ago
A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that
alex41 [277]
The answer is g = 0.4t
6 0
3 years ago
The internal dimension of a cylindrical container has a base area of 20 cm^2 and a height of 10 cm. What is the internal volume
yawa3891 [41]

Answer:

<u><em>C) 200 cm^3 </em></u>

<u><em></em></u>

Step-by-step explanation:

we observe that

Area=20 cm² and   Height=10 cm

The  formula to find volume is :

Volume= Area×Height

putting the values of area and height in above formula,we get

Volume= 20 cm²×10 cm

Volume= 200 cm³

The internal volume of the container is 200 cm³.

hope this helps

5 0
3 years ago
What is the answer too 2y-3=-5
bogdanovich [222]

2 − 3 = −5

First we need to Add 3 to both sides of the equation:

2 − 3 + 3 = −5 + 3

Then we simplify:

2 = −5 + 3

 2 = −2

Now we divide both sides of the equation by the same term:

2 / 2 = −2 / 2

Final answer: = −1

I hope this helps!

8 0
3 years ago
Read 2 more answers
The line that passes through the points (-3,0) and (5,8) is
Maru [420]
The answer is increasing
8 0
3 years ago
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