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3 years ago

Determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8

Mathematics

1 answer:

lana66690 [7]3 years ago

3 0

9514 1404 393

Answer:

y = 5/3x +8

Step-by-step explanation:

The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...

-1/(-3/5) = 5/3

That and the given y-intercept can be put into the slope-intercept equation ...

y = mx + b . . . . . line of slope m and y-intercept b

y = 5/3x + 8

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3 years ago

Which of the following is equivalent to (3x-1)(5x+4) ? Select all that apply.

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The answer is 15x^2+7x-4

because:

1) 15x^2+12x-5x-4
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3 years ago

Find the volume of a prism with a length of 6ft, width of 9ft, and height of 7ft.

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Step-by-step explanation:

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3 years ago

if a and b are distinct integers such that ab<1 and b ≠0, what is the greatest possible value of a/b

insens350 [35]

'a' and 'b' are integers so they are values drawn from the set {..., -3, -2, -1, 0, 1, 2, 3, ...} basically any positive or negative whole number, and we include 0 as well. If 'a' and 'b' are forced to be positive, then there are no solutions to a*b < 1. But if we include negative values, then a*b < 1 has solutions. For example (a,b) = (-2,1) is a solution because a*b = -2*1 = -2 which is less than 1.

It turns out that (a,b) = (0,k) which plugs into a/b = 0/k = 0 which is the (a,b) pairing that leads to the largest value of ab. We can use any number k as long as k is nonzero. If 'a' were nonzero, then 'a' would have to be negative while k is positive (or vice versa) to ensure that a*b is negative, but these results would make a/b smaller than 0, thus not the largest possible value of a/b

In short, the answer to your question is 0

3 0

3 years ago

Graph:y +2= -3/4(x+4)

monitta

Answer:

see below

Step-by-step explanation:

The point-slope form of the equation of a line is ...

y -k = m(x -h) . . . . . . . . line of slope m through point (h, k)

Comparing this form to the equation you are given, we can match parts to see that ...

k = -2
m = -3/4
h = -4

That is, your line has a slope of -3/4 and goes through the point (-4, -2).

To graph this line, it is often convenient to start with the given point, then use the slope to find another point. The given point is (-4, -2).

The slope is "rise"/"run". A slope of -3/4 tells you the line will drop 3 units for each 4 units it moves to the right. If we add 4 to the x-value of the given point, we get 0. If we add -3 to the y-value of the given point, we get -5. So, another point on the line is (0, -5).

Knowing these two points, you can draw the line through them to graph the equation.

5 0

3 years ago