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Crazy boy [7]
3 years ago
6

Write the equation of a line (in slope /intercept form) that is parallel to -2x + 4y = 100 and goes through the (8, -7)

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

y = ½x - 11

Step-by-step explanation:

The equation of the line that goes through (8, -7) and is parallel to -2x + 4y = 100, will have the same slope as the line, but different y-intercept (b).

Let's find the slope of -2x + 4y = 100 by rewriting in the slope-intercept form.

-2x + 4y = 100

Add 2x to both sides

4y = 2x + 100

Divide both sides by 4

y = 2x/4 + 100/4

y = ½x + 25

The slope of the given line is ½. Since the line that goes through (8, -7) is parallel to -2x + 4y = 100, therefore the slope (m) is also ½.

To find the y-intercept (b), substitute m = ½, x = 8, and y = -7 into y = mx + b.

-7 = ½(8) + b

-7 = 4 + b

-7 - 4 = b

-11 = b

b = -11

Substitute m = ½ and b = -11 into y = mx + b to get the equation of the line that is parallel to -2x + 4y = 100.

y = ½x + (-11)

y = ½x - 11

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3 years ago
If anyone could help out with this one i would really appreciate it <br><br> f(2)=?
algol13

Answer:

f(2) = 0

Step-by-step explanation:

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We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.

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4 years ago
Which of the following tells how to change a measurement from millimeters to meters?
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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Robert has available 400 yards of fencing and wishes to enclose a rectangular area. Express the areaAof the rectangle as a funct
solong [7]

Answer:

The answer is below

Step-by-step explanation:

a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.

the perimeter of a rectangle is given as:

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Hence;

400 = 2(l + w)

200 = l + w

l = 200 - w

The area of a rectangle is given as:

Area = length × width

Area = (200 - w) × w

Area = 200w - w²

b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a

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A width of 100 yard has the largest area

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The maximum area is 10000 yd²

7 0
3 years ago
What is the value of x?
alexdok [17]
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"sum" = (the one unknown interior angle) + (the sum of the given (known)) interior angles).</span>
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