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3 years ago

What is the equation of the circle with radius, r = 11 , and the center at (0, - 7)

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given (h, k) = (0, - 7) and r = 11, then

(x - 0)² + (y - (- 7))² = 11², that is

x² + (y + 7)² = 121 → A

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Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.

Stella [2.4K]

Answer:

19 = x

Step-by-step explanation:

The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)

BD²= (BA)(BE)

8² = (4 + x - 7) (4) BA = BE + EB

8² = (x - 3)(4)

64 = 4x - 12

64 + 12 = 4x

76 = 4x

19 = x

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2 years ago

The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l

Nostrana [21]

Answer:

$6.72

Step-by-step explanation:

The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice.How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?

1 cup = 16 table spoon of juice

half a cup = 8 table spoon of juice

1 pie require half a cup of lemon juice. so 1 pie requires 8 tablespoon of lemon juice

Each lemon yields about 2 tablespoons of juice

2 times 4 = 8

So 4 lemon needed to make a pie

cost of 1 lemon = 0.56

cost of 4 lemons = $0.56 \cdot 4=2.24$

cost of lemon for making 3 pie= $3 \cdot 2.24=6.72$

4 0

3 years ago

What is the square root of -16?

Step2247 [10]

Step-by-step explanation:

3 is the correct answer

4 0

2 years ago

Read 2 more answers

Write a polynomial in factored form.

enyata [817]

Answer:

f(x)= x^3

Step-by-step explanation:

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2 years ago

Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)

Gekata [30.6K]

Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

$p = MN + NP + PQ + QR + RM$ (1)

$p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}$ (1b)

If we know that $M(x,y) = (2,4)$ , $N(x,y) = (5,8)$ , $P(x,y) = (8,4)$ , $Q(x,y) = (8,1)$ and $R(x,y) = (2,1)$ , then the perimeter of the pentagon MNPQR is:

$p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}$ $p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}$

$p = 22$

The pentagon MNPQR has a perimeter of 22 units.

4 0

3 years ago