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Oksanka [162]
3 years ago
10

Homer wants to identify the center and radius of the circle defined by the equation...​

Mathematics
1 answer:
Goryan [66]3 years ago
8 0

Answer:

Step 2, he didn't add the values he completed the square with to both sides.

Step-by-step explanation:

When you complete the square, you need to add the values to both sides, not just one.

So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.

Hence, the equation would now be :

(x-7)^2 + (y+1)^2 = 75

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DGE, it’s a vertical angle
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3 years ago
Write the standard form of the equation of a circle with radius 3 and center (11, 3)
Talja [164]

Answer:

<u>x² - 22x + y² - 6y + 121 = 0</u>

Step-by-step explanation:

<u>General Form of Equation</u>

  • (x - h)² + (y - k)² = r²

<u>Solving</u>

  • (x - 11)² + (y - 3)² = (3)²
  • x² - 22x + 121 + y² - 6y + 9 = 9
  • <u>x² - 22x + y² - 6y + 121 = 0</u>
4 0
2 years ago
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Find x. Give your answer in the
garri49 [273]

Answer:

x = 4

Step-by-step explanation:

sin 30 = x/8

0.5 = x/8

x = 4

7 0
3 years ago
Factor the expression 45b+40​
natali 33 [55]

Answer:

5(9b + 8)

Step-by-step explanation:

Rewrite 45 as 5 * 9

Rewrite 40 as 5 * 8

= 5 * 9b + 5 * 8

Factor out common term 5

=5 (9b + 8)

6 0
2 years ago
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A truck can be rented from Company A for ​$70 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.40 per mile to r
Otrada [13]

Answer:

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Step-by-step explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

\frac{-0.20x}{-0.20}>\frac{-50}{-0.20}\\x>250

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

8 0
3 years ago
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