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Yanka [14]
3 years ago
9

Find the center and radius of the circle with equation (x+7)^2 + (y+5)^2 = 81

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:it’s the last one

Step-by-step explanation:

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In circle O, what is m∠MAJ? °
mr_godi [17]

See the attached figure.

m ∠KAJ = 170° &  m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°


<u>So, the answer is :  m ∠MAJ = 55°</u>

4 0
3 years ago
Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
tatyana61 [14]

Answer : 96

x – y = 16 --------> equation 1

1/8 x + 1/2 y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

1/8 x + 1/2 ( -16 + x ) = 52

1/8x - 8 + 1/2 x = 52

1/8x + 1/2x - 8 = 52

Take common denominator to combine fractions

1/8x + 4/8x -8 = 52

5/8x - 8 = 52

Add 8 on both sides

5/8x = 60

Multiply both sides by 8/5

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

8 0
3 years ago
Which expression is equivalent to (-4y-x)-(y-9x) ?
777dan777 [17]

Answer:

-5y + 8x

Step-by-step explanation:

(-4y-x)-(y-9x)\\\\-4y-x-(y-9x)\\\\\rightarrow-(y-9x)*-1=-y+9x\\\\-4y-x-y+9x\\\\-4y-y+9x-x\\\\\boxed{-5y+8x}

7 0
2 years ago
a taco stand sells tacos for $3.25 each. the stand's expenses for the day are $210. definec your variables and write an inequali
AlekseyPX

Okay, we know that the expenses for the day is 210.

Knowing this, and the price of the taco, we write the inequality:

3.25t > 210

t = number of tacos

Now divide both sides by 3.25:

t > 64.62 (rounded)

Because a taco stand can't sell a fraction of a taco, we know that the taco stand has to sell more than 65 tacos for a profit.

7 0
3 years ago
Use the properties of exponents to solve for the each variable.
Wittaler [7]

a=8+2=10; b=4•5=20; c=6-2=4

3 0
3 years ago
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