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Temka [501]
2 years ago
13

Vertex (-2,2) point (-4,-10)

Mathematics
1 answer:
Jlenok [28]2 years ago
7 0
Vertex form is
y=a(x-h)²+k
vertex is (h,k)
to solve
input the given vertex and then the given point, solve for a


vertex at (-2,2) and a point is (-4,-10)

y=a(x-(-2))²+2
y=a(x+2)²+2
put point (-4,-10)
-10=a(-4+2)²+2
-10=a(-2)²+2
-10=4a+2
-12=4a
-3=a


y=-3(x+2)²+2
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Juli2301 [7.4K]

Answer:

Area of the shaded part is 3.14 square unit.

Step-by-step explanation:

Area of the shaded part = Area of large semicircle - (Area of two small semi circles)

Area of large semicircle with center O = \frac{1}{2}(\pi r^2)

                                                                = \frac{1}{2}\pi (2)^{2}

                                                                = 2π

Area of semicircle with center O' = \frac{1}{2}\pi (1)^2

                                                      = \frac{\pi }{2}

Area of semicircle with center O" = \frac{\pi }{2}

Now substitute these values in the formula,

Area of shaded part = 2\pi - (\frac{\pi }{2}+\frac{\pi }{2})

                                  = \pi

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Area of the shaded part is 3.14 square unit.

7 0
2 years ago
Find the degree of the polynomial<br> 2x^4y^2+9x^2y^5-3x^4y^4
coldgirl [10]

Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term  2\,x^4\,y^2  contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term  9\,x^2\,y^5  contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term  -3\,x^4\,y^4  contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

8 0
3 years ago
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Answer:

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a=m-n

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