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2 years ago

Andy ate three doughnuts less than Chad. Together, they ate 21 doughnuts. How many doughnuts did Andy eat?

Mathematics

1 answer:

natita [175]2 years ago

3 0

Answer:

Andy ate 9 doughnuts because 21-9=12

12-9=3.

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A rotation of a figure can be achieved by consecutive ___ of the figure over given lines

strojnjashka [21]

Movement by degree so by drawing it n tracing paper then rotating it a certain degree such as 90 degrees

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3 years ago

Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

$4b=-5-3$

$4b=-8$

b=-2

Hence the center of the circle is

$(-\frac{3}{2},2)$

8 0

3 years ago

Aline crosses the coordinates (-4,4) and (2.-5). What is the slope<br> of the line?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Use the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

$m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}$

4 0

3 years ago

Heather, Chang, and Justin served a total of 93 orders Monday at the school cafeteria. Chang served 2 times as many orders as Ju

meriva

Write an equation where x = Justin's orders
93 = (x) + (2x) + (x + 5)
Simplify the equation:
93 = 4x + 5
Subtract 5 from both sides:
88 = 4x
Divide 4 on both sides:
22 = x
Solve for the orders:
x = 22 = Justin
22(2) = 44 = Chang
22 + 5 = 27 = Heather.

Hope this helps!

5 0

2 years ago

Read 2 more answers

If A=i +j+2k B=2i+j+2k C=i-2j-2k Find the magnitude of (A+B+C)

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Answer: (6j-2j + 7k / 89

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2 years ago