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3 years ago

Find an equation of the circle that has center (−1,2) and passes through ( 2,−2) .

1 answer:

8 0

Equation of a circle that has a center at (h,k) and radius of r is
(x-h)²+(y-k)²=r²

so

given center (-1,2)
(x-(-1))²+(y-2)²=r²
(x+1)²+(y-2)²=r²

sub the other point to find r or r²

it passes through (2,-2)
sub 2 for x and -2 for y

(2+1)²+(-2-2)²=r²
(3)²+(-4)²=r²
9+16=r²
25=r²
5=r

the equation is
(x+1)²+(y-2)²=5²

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1, 2,5,6,9,...<br> what’s the pattern

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Answer:

+1+3

Step-by-step explanation:

1 +1=2

2+3=5

5+1=6

6+3=9

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2 years ago

At the third-grade party, two groups each had their own pizza. The blue group ate 7/8 of a pizza. The green group ate 2/8 of a p

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The blue group did because they ate 7 slices out of 8 while the green team only ate 2 out of 8

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3 years ago

Paul picked and bagged a total of 30 pounds of apples on Saturday and Sunday.

pentagon [3]

Answer:

he filled 10 bags on sunday

Step-by-step explanation:

if each bag weighs 5 pounds, and he filled 2 on Saturday he used 10 pounds already. that would leave 20 pounds left, 20 ÷ 2 = 10

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3 years ago

Add the two complex numbers 6 + 7i and 10 + 2i. Write your answer as a complex number in standard form, a + bi.

lina2011 [118]

1. The complex number 6 + 7i has

real part 6;
imaginary part 7.

2. The complex number 10 + 2i has

real part 10;
imaginary part 2.

3. When we add two complex numbers, we add real parts and imaginary parts separately:

(6+7i)+(10+2i)=(6+10)+(7+2)i=16+9i.

Answer: 16+9i

8 0

3 years ago

Read 2 more answers

Beau's recipe fro granola bars calls for 3 1/2 cups of oatmeal. He only has 1/6 scoop. How many scoops of oatmeal will he need t

natulia [17]

$\boxed{21}$ scoops of oatmeal will he need to complete the recipe.

Further explanation:

Given:

Beau's recipe from granola bars calls for $3\dfrac{1}{2}$ cups of oatmeal.

He only is $\dfrac{1}{6}$ scoop.

Explanation:

The cups of oatmeal called for the recipe is $3\dfrac{1}{2}.$

Solve the improper fraction $3\dfrac{1}{2}.$

$\begin{aligned}{\text{Fraction}}&=\frac{{2 \times 3 + 1}}{2}\\&=\frac{{6 + 1}}{2}\\&=\frac{7}{2}\\\end{aligned}$

The Beau has $\dfrac{1}{6}{\text{ scoop}}.$

The number of scoops required to complete the recipe can be obtained as follows,

$\begin{aligned}N&=\frac{{{\text{total cups of oatmeal}}}}{{{\text{the fraction of scoop Beau has}}}}\\&=\frac{{\frac{7}{2}}}{{\frac{1}{6}}}\\&= \frac{7}{2} \times6\\&=\frac{{42}}{2}\\&= 21\\\end{aligned}$

Number of scoops required to complete the oatmeal is $21{\text{ scoops}}.$

Therefore, $\boxed{21}$ scoops of oatmeal will he need to complete the recipe.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, Beau’s recipe, granola bars, calls, 3 1/2 cups of oatmeal, scoops, recipe, ratio, 1/6 scoop, complete the recipe.

5 0

3 years ago