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2 years ago

Write an equation of a circle given the center (-4,4) and radius r=5

Mathematics

1 answer:

Irina-Kira [14]2 years ago

8 0

Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r² where (h,k) is the center.

Center( -4 , 4) and r = 5

(x -[-4])² + (y - 4)²= 5²

(x + 4)² + (y-4)² = 25

x² + 2*4*x +4² + y² - 2*y*4 + 4² = 25

x² +8x + 16 + y² - 8y + 16 = 25

x² + 8x + y² - 8y + 16 + 16 -25 = 0

x² + 8x + y² - 8y +7 = 0

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11. Jeff is taking his family and friends to the movies. Adult tickets, a, are $8 and child

bezimeni [28]

Answer:

there are 3 adults and 8 children

Step-by-step explanation:

8*3 (3=Adults)=$24

5*8 (8 children)=$40

24+40=$64

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3 years ago

Expand and simplify 4(x+2)-3 (x-2)

rodikova [14]

Expand: 4x+8-3x+6
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3 years ago

Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards

kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

$Area \ of \ rectangle = Length\times breadth$

$=234\times1 =234 \ square \ yards$

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

$\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards$

Therefore, 117 square yards of her garden has roses.

5 0

3 years ago

Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

Vladimir [108]

2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.

5 0

3 years ago

Tell whether the angles are complementary or supplementary.

igomit [66]

Answer:

complementary

Step-by-step explanation:

The total angle is a right angle. Complementary angles are angles that add up to 90 degrees. Right angles are 90 degrees so the answer is complementary.

6 0

2 years ago

Read 2 more answers