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Elena-2011 [213]
2 years ago
10

Write the standard form of the equation of a circle with radius 3 and center (11, 3)

Mathematics
2 answers:
skad [1K]2 years ago
7 0

Answer:

(x+11)2+(y−3)2=81

mark me brainliest

Step-by-step explanation:

Talja [164]2 years ago
4 0

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>
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John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

8 years

Step-by-step explanation:

Let age of father be f

age of John be j

age of Alice be a

John's father is 5 times as old as John. We can write:

f = 5j

John is twice as old as Alice. We can write:

j = 2a

or

a = j/2

SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:

f+2 + j+2 + a+2 = 58

This becomes:

f + j + a + 6 = 58

f + j + a = 52

Now, we replace third equation with the first two (in bold) and get:

f + j + a = 52\\5j + j + \frac{1}{2}j=52\\6.5j=52\\j=8

So John is 8 years old

7 0
3 years ago
Use the circle to represent the following situation and show how you came up with the answer.
frozen [14]

Answer:

look below bestie

Step-by-step explanation:

ok so i dont know most of it (sryy) but the area of the entire pizza is 535.84in², the radius of the pizza is about 13.05 and yea. thats all i got

3 0
2 years ago
Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x
alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

8 0
3 years ago
Round decimal to the nearest one . Then add 7.91+21.9=
Arte-miy333 [17]
7.91 = 8 21.9 = 22

8 + 22 = 30
7 0
3 years ago
Read 2 more answers
The PTO is hosting a donut and coffee day at the shcool. Each box of donuts and costs $9.00 and each cup of
vodka [1.7K]

Answer:

The school where the donut and coffee day will take place.

The number of boxes of donuts the PTO bought.

The number of cups of coffee the PTO bought.

3 0
2 years ago
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