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Xelga [282]
3 years ago
11

Find the slope of the line perpendicular to 2x + y = 3.

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is −2 - 2 . The equation of a perpendicular line to y=−2x+3 y = - 2 x + 3 must have a slope that is the negative reciprocal of the original slope.

Step-by-step explanation:

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Which of the following equations is represented by a graph that is centered at (- 6, - 8) and includes the point (0, - 8) ?
Lera25 [3.4K]

Answer:

C.

Step-by-step explanation:

As the center is (-6, -8) the 2 factors on the left will be (x + 6) and (x + 8) so it's either A or C.

When x = 0 y = -8 so substituting we have:

(0 + 6)^2 + (-8 + 8)^2 = 36 + 0 = 36.

So it's choice C.

4 0
3 years ago
The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length
valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

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Answer:

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Step-by-step explanation:

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