2 years ago

Which is the simplified form of the expression 5A + 12 - a - 12 + 6A?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

8 0

rearrange the equation so like terms are together: 5a-a+6a+12-12

+12 and -12 cancel out, so: 5a-a+6a

subtract: 4a+6a

add: 10a

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Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

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3 years ago

Convert the following equation into standard form. 2y = 4x – 9 - [?]x+[ ]y = -9

Tresset [83]

Answer: 2x - 2y = 9

here you go

4 0

2 years ago

Simplify the following expression as much as possible 4^10 divided by 4^10 . 7^0

nikklg [1K]

Answer:

Step-by-step explanation:

Simplify

4^10 divided by 4^10 . 7^0
4^10/(4^10*7^0) =
4^10/4^10 =
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3 years ago

Read 2 more answers

You purchased 100 shares of stock valued at $55 per share. The stock value increases to $85 per share. What was the rate of incr

guapka [62]

Answer: $30 per share.

Explanation:
55 + x = 85
-55 -55
x 30
x = 30

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3 years ago

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Alekssandra [29.7K]

Answer:

ans=132

Step-by-step explanation:

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3 years ago