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GarryVolchara [31]
3 years ago
10

Write the equation Of a line in slope intercept form that passes through (-2,5) and is perpendicular to y=1/3x-2

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

y = - 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

y = \frac{1}{3} x - 2 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (- 2, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = - 3x - 1 ← equation of perpendicular line

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GuDViN [60]

Answer:

The first one is No. The second one I do not know unfortunately.

Step-by-step explanation:

I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.

4 0
2 years ago
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Answer:

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Step-by-step explanation:

8 0
2 years ago
What is 1/10 of 1000 what is 1% out of 100
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3 0
3 years ago
show that the sum of the x- and y- intercepts of any tangent line to the curve sqrt(x) sqrt(y) = sqrt(c) is equal to c.
expeople1 [14]
The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>

<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>

<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>

<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>

<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c.  hope this helps :D</span>
5 0
3 years ago
A rectangular prism has a volume of 378 cubic inches the area of the base is 42 square inches what is the height
barxatty [35]

Answer:

9 inches.

Step-by-step explanation:

The formula for the volume of a rectangular prism is base x height.  So if the volume is 378, and the base is 42, you would use the equation 378/42 to find the height. 378/42 is 9.  Therefore, the height is 9 inches.

7 0
3 years ago
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