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3 years ago

Write an equation is point slope form of a line given that the slope is 2/3 and that the line

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Y-y1=m(x-x1)
y-(-2)=2/3(x-5)
y+2=2/3x-10/3
y=2/3x-10/3-2
=> y=2/3x-16/3

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For the following right triangle, find the side length x, Round your answer to the nearest hundredth.

4vir4ik [10]

Answer:

10.6. (3s.f.)

Step-by-step explanation:

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3 years ago

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Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice

alukav5142 [94]

$f(x,y)=2x^2-8x+y^2-8y+2$

$f_x(x,y)=4x-8=0\implies x=2$

$f_y(x,y)=2y-8=0\implies y=4$

There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.

Along the boundary $x=0$ , we have

$f(0,y)=y^2-8y+2=(y-4)^2-14$

which attains a maximum value of

$f(0,4)=-14$

Along $y=44$ , we have

$f(x,44)=2x^2-8x+1586=2(x-2)^2+1578$

which attains a maximum of

$f(2,44)=1578$

Along $y=2x$ , we have

$f(x,2x)=6x^2-24x+2=6(x-2)^2-22$

which attains a maximum of

$f(2,4)=-22$

So over the given region, the absolute maximum of $f(x,y)$ is 1578 at (2, 44).

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3 years ago

Mr.Jenkins is buying paint to paint the garage wall. He needs to know the area of the wall in order to know how much how much pa

Keith_Richards [23]

Answer: (129.12 ft^2) / (24 ft^2/can) = 5.38 cans. Round this up to 6 cans. Please undrstand that this is only an example, since I do not know the actual dimenions of the wall

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3 years ago

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3. Simplify the expression -3(4x -2) -2x A. -8x B.-16x C.-14x -2 D.-14x+ 6

beks73 [17]

I got C. -14x - 2
I might be wrong

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3 years ago

All basketballs at a sporting goods store were marked down 25% during the first week of a sale. During the third week, all remai

QveST [7]

Answer:

selling price= $9.9

Step-by-step explanation:

Giving the following information:

During the third week, all remaining basketballs were marked down an additional 30%.

Original price= $22

To calculate the selling price in the third week, we need to use the following formula:

selling price= original price*(1 - markdown)

selling price= 22*(0.45)

selling price= $9.9

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3 years ago