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nasty-shy [4]
3 years ago
11

Find the value of k given that the line through (k,2) and (7,0) is perpendicular to the line y=x-28/5

Mathematics
2 answers:
Tanzania [10]3 years ago
5 0
Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.

slope = (y2 - y1) / (x2 - x1)
(k,2)....x1 = k and y1 = 2
(7,0)...x2 = 7 and y2 = 0
sub
slope = (0 - 2) / (7 - k)
slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.

so ur answer is : k = 5
Alik [6]3 years ago
3 0

Answer:

(5,2) would be the K value for the line.

Step-by-step explanation:

Remember that perpendicular lines have inverse slopes, this means that they have the same number but with different signs, the line y=x-28/5 has a slope of 1 since 1 is the number that is multiplying the x, so the slope of the perpendicular line should be -1.

To calculate the value of K we need to use the formula for slope:

m=\frac{y2-y1}{x2-x1}\\

We insert the values into the formula and clear for K:

m=\frac{y2-y1}{x2-x1}\\m=\frac{0-2}{7-k}\\-1(7-k)=-2\\k=-2+7\\k=5

So now we know that the value of K would be 5.

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What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
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Y=9.25 because inorder to solve this we need to first take 5*.3 which equals 1.5 now that we have this we can move on we now have the equation 1.5 + 2y = 20 so now we need to continue working on getting y by it self so we subtract 1.5 from each side and then that leaves us with 2y=18.5 now we divide by 2 which leaves us with y=9.25 enjoy=)
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Which is true regarding the graphed function f(x)
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Step-by-step explanation:

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5 0
2 years ago
the right rectangular prism shown has a length of 8ft a width of 2ft and a height of 6ft the dimensions of the prism are doubled
Elan Coil [88]

Answer:

Part 1) The scale factor is 2

Part 2) The dimensions of the enlarged prism are

a.Length=(8)(2)=16 ft

b.Width=(2)(2)=4 ft

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Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}

Step-by-step explanation:

we now that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

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Find the scale factor

we know that

If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to 2

Part 2)

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To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor

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7 0
3 years ago
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