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3 years ago

What is the vertex of the parabola? y+4=12(x−7)2

2 answers:

5 0

<span>The answer to this question is (7,-4).</span>
The parabola <span>y+4=12(x−7)^2 can be moved so that the y term is isolated like so
y = 12(x-7)^2 - 4
A parabola of the form y = a(x-h)^2 + k has its vertex at (h,k). So it follows that we take h = 7 and k = - 4.
The answer to this question is (7,-4).
</span>

Alborosie3 years ago

3 0

Vertex is (7,-4) for answer.

Hope this helps. :)

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

Marina86 [1]

Area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

Solution:

Radius of the quarter of circle = 12 cm

Area of the shaded region = Area of quarter of circle – Area of the triangle

$$=\frac{1}{4} \pi r^2 - \frac{1}{2} bh$

$$=\frac{1}{4} \pi \times 12^2 - \frac{1}{2} \times 12 \times 12$

$$=36\pi -72$

$$=36(\pi -2)$ square cm.

Area of the shaded region $$=36(\pi -2)$ square cm

Using Pythagoras theorem,

$AC^2=AB^2+BC^2$

$AC^2=12^2+12^2$

$AC^2=288$

Taking square root on both sides of the equation, we get

$AC= 12\sqrt 2$ cm

Perimeter of the quadrant of a circle = $\frac{1}{4} \times 2\pi r$

$$=\frac{1}{4} \times 2 \times \pi \times 12$

$$=6 \pi$ cm

Perimeter of the shaded region = $6 \pi + 12\sqrt 2$ cm

$=6 (\pi + 2\sqrt 2)$ cm

Hence area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

6 0

3 years ago

Which describes the slope of this line?

iren2701 [21]

C because it is negative

7 0

3 years ago

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Please fill in the blanks. It may or may not be the same word(s) for each.

Alex787 [66]

Answer:

1. Intersecting

2. Transversal

3. Adjacent

3 0

3 years ago

A points lies on AB and is 3/4 the distance from A to B. Point A is located at (5, 4) and point B is located at (10, 12)

kirza4 [7]

Answer:

The answer for this is D.

Step-by-step explanation:

The reason is that it tells you that is a 3/4 your distance point so you need to count from 3/4.

5 0

2 years ago

Can someone help me with this, thanksssss

Effectus [21]

Answer:17

Step-by-step explanation:Follow pemdas.

Start with parentheses which is (5+2) which gives you 7.

Now next in Pemdas is Exponents. SO do 2 to power of 2 which is 4 .Then do 3 to the power of 3 which is 27.Next add 4 to 27 which is 31.so now do 7 times 2 is 14.Then take 31 and subtarct it from 14 which gives you 17.

Look at pic to see clearly how it was solved and the steps. I color code it to show the steps.

3 0

3 years ago

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