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schepotkina [342]
3 years ago
15

What is the center and radius of the circle that has the equation (x + 7)^ 2 + (y − 4) ^2 = 49? Explain.

Mathematics
2 answers:
Sedbober [7]3 years ago
5 0

Answer:

(- 7, 4 ) and 7

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

(x + 7)² + (y - 4)² = 49 , that is

(x - (- 7))² + (y - 4)² = 7² ← is in standard form

with centre = (h, k) = (- 7, 4) and r = 7

alisha [4.7K]3 years ago
3 0

Step-by-step explanation:

Center: (−7,4)(-7,4)

Radius: 7

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Answer:

f(x) = y

Step-by-step explanation:

f(x) always equals y, so the equation would be y = 7. therefore, I am pretty sure that x = y, but you may want to wait to ask your teacher. If there is more detail, message me!

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3 years ago
(1, -6) and ( -8, 9 )
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6 0
3 years ago
If 86 is added to a number the result is 56 less than twice the number, find the exact number, Do not round!
vredina [299]
The number is 142
you first make an equation ;
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7 0
3 years ago
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of
Amiraneli [1.4K]

The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:

<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2

We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so

864 = (<em>b</em>₁ + 30) 24 / 2

864 = (<em>b</em>₁ + 30) 12

864 = (<em>b</em>₁ + 30) 12

72 = <em>b</em>₁ + 30

<em>b</em>₁ = 42

5 0
3 years ago
Graph a direct variation function that goes through the point (-2, -6). what is the slope
Effectus [21]

Answer:

The slope is 3.

Step-by-step explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Substitute and evaluate:

\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.

6 0
3 years ago
Read 2 more answers
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