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Readme [11.4K]
2 years ago
6

Can someone please help me answer this

Mathematics
2 answers:
maria [59]2 years ago
8 0

Answer:

(-2,6)

Step-by-step explanation:

bogdanovich [222]2 years ago
4 0

Answer:

The center is at (-2,6) and the radius is 7

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 +(y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x+2)^2 +(y-6)^2 = 49

( x- -2)^2 +(y-6)^2 = 7^2

The center is at (-2,6) and the radius is 7

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3 years ago
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What equality is shown here on the number above?​
grigory [225]

Answer:

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3 years ago
Find the vertex of the graph of f(x) = x2 + 4x - 5.
Fofino [41]
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
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will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
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You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0
3 years ago
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3 years ago
If the apothem is 13 square root 3 ft what is the area of the hexagon
dimulka [17.4K]

Answer:

The area of the hexagon is 1,014\sqrt{3}\ ft^{2}

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to

A=\frac{1}{2}Pa

where

P is the perimeter

a is the apothem

Find the length side of the hexagon

Let

b-----> the length side of the hexagon

Remember that

The formula to calculate the length side given the apothem is equal to

b=\frac{2a}{\sqrt{3}}

we have

a=13\sqrt{3}\ ft

substitute

b=\frac{2(13\sqrt{3})}{\sqrt{3}}

b=26\ ft

<em>Find the perimeter P</em>

P=6b=6(26)=156\ ft

<em>Find the area of the hexagon</em>

A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}

7 0
2 years ago
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