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3 years ago

Help on part a please

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer:

Max

Step-by-step explanation:

y" = -2

Basically is a constant value of -2, which doesn't depend on x.

Find the turning point using y' = 0.

y' = 4 - 2x = 0

4 - 2x = 0

x = 2

So the turning point is at x = 2,

y = 5 + 4(2) - 2² = 9

(2,9) is the turning point

For the nature (max/min):

y" = -2

Since y" < 0, it is a maximum turning point

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The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r.

Arte-miy333 [17]

The value of r is -24

Step-by-step explanation:

Given points are:

(1,r) and (5,-4)

Let the points be:

(x1,y1) = (1,r)

(x2,y2) = (5,-4)

m = 5

The slope is given by:

$m = \frac{y_2-y_1}{x_2-x_1}\\5 = \frac{-4-r}{5-1}\\5 = \frac{-4-r}{4}\\5 * 4 = -4-r\\20 = -4-r\\20+4 = -4-r+4\\24 = -r\\r = -24$

Hence,

The value of r is -24

Keywords: Slope, coordinates

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