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3 years ago

PLSSSS HURRY I HAVE A TIME LIMIT MUST SHOW WORK

Mathematics

1 answer:

Goryan [66]3 years ago

7 0

Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70

Step-by-step explanation:

XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)

So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)

RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°

WVS: We already solved this in the beginning

RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:

RSV = 180° - (55° + 55°)

RSV = 70°

Now that we know RSV = 70°, we can find RST

180 - (RSV + RST)

180 - (70° + RST)

RST = 110°

RSV: We already found this

Sorry, that was a lot. Hope it wasn't too confusing.

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oee [108]

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kondor19780726 [428]

9514 1404 393

Answer:

Vertex: (-1, 4)

Maximum: f(-1) = 4

Increasing: (-∞, -1)

Decreasing: (-1, ∞)

Step-by-step explanation:

The equation can be written in vertex form by "completing the square."

First factor out the leading coefficient from the x-terms.

f(x) = -(x² +2x) +3

Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.

f(x) = -(x² +2x +1) +3 +1

Write in vertex form.

f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k

You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.

The function will be increasing to the left of the maximum, decreasing to its right.

Vertex: (-1, 4)

Maximum: f(-1) = 4

Increasing: (-∞, -1)

Decreasing: (-1, ∞)

Graph: see attached