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2 years ago

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]2 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]2 years ago

3 0

Step-by-step explanation:

Center: (−7,4)(-7,4)

Radius: 7

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2 years ago

James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there

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Answer:

32 one-dollar bills.

Step-by-step explanation:

Let x represent one-dollar bills and y represent two-dollar bills.

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$x+y=49$

The total amount of money James has is 66. x is worth one dollar, while y is worth two dollars. Therefore:

$1x+2y=66\\x+2y=66$

We have a system of equations. Solve by substitution:

$x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32$

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

$32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49$

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