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forsale [732]
2 years ago
9

The circle below is centered at the point (1, 2) and has a radius of length 3.

Mathematics
1 answer:
sveta [45]2 years ago
7 0

Answer:

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

Step-by-step explanation:

The general circle equation is

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

where r is the radius.

Since we know all the information just plug it in the equation above.

(x - 1) { }^{2}  + (y - 2) {}^{2}  =  {3}^{2}

Simplify 3 squared.

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

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Which equation(s) represents a proportional relationship?
enyata [817]

Answer:

A and C are proportional relationships.

Step-by-step explanation:

Recall that a "proportional relationship" has no constant term.  Thus, we eliminate Answers B and D immediately.

Answer A represents a proportional relationship:  y varies directly with the square of x.

Answer C also represents a proportional relationship:  y varies directly with x.

4 0
3 years ago
The amount of money Sarah earns per week is modeled by the function W below where h
zzz [600]

Answer:

416

Step-by-step explanation:

8 0
3 years ago
A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i
taurus [48]

Answer:

The height of building to the nearest foot is h = 36 foot

Step-by-step explanation:

We have given,

Length of ladder leaning against a building, l = 45 foot

Bottom length between ladder and the building , b = 27

Now, we need to find the height of building to the nearest foot.

Let the height of building be h.

Using Pythagoras theorem,

l^{2} = b^{2} +h^{2}

Here, l = 45 , b = 27 and h =?

So,

45^{2} = 27^{2} +h^{2}

h² = 45² - 27²

h = √(45² - 27²)

h = 36

The height of building to the nearest foot is h = 36 foot

8 0
3 years ago
Read 2 more answers
Secants L J and L M intersect and form an angle at point L. Solve for x.
german

Answer:

x = 14  

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}

Check:

\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}

It checks.

6 0
3 years ago
The answer to the question.
Dmitriy789 [7]

Answer:

0-4=-4  -4-9=-13

7 0
3 years ago
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