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3 years ago

Absolute Value Solve each equation. Write your answer as a solution set. lml=14

1 answer:

8 0

Answer: M= 14 or -14

Reason: When the absolute value symbol is around a number it turns it into it how far from 0 is it. And both 14 and -14 are 14 numbers away from 0

Hope this helps

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The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?

Alika [10]

Answer:

The equation of circle is $(x-1)^{2}$ + $(y-2)^{2}$ = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

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

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

( $\frac{-2+4}{2}$ , $\frac{-3-1}{2}$ )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

$(4-1)^{2}$ + $(-1-2)^{2}$ = $r^{2}$

$r^{2}$ = 18

Now substituting values of (h,k) and $r^{2}$ in equation of circle, we get

$(x-1)^{2}$ + $(y-2)^{2}$ = 18

Hence the equation of circle is $(x-1)^{2}$ + $(y-2)^{2}$ = 18

5 0

3 years ago

Read 2 more answers

There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes

worty [1.4K]

For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15), 20(1.15)², 20(1.15)³,

Function = 20(1.15)^n Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function = 24 + 4n n = number of end year, n =1, 2, 3,...

B) After 10 years: 
Parrot = 20(1.15)¹⁰ = 80.91115471

Snakes = 24 + 4(10) = 64

C) After what time they are the same: 
We use trial and error:

Test: n 20(1.15^n) (24 + 4n)
 1 23 28
 2 26.45 32
 3 30.41 36 
 4 34.98 40
 5 40.23 44
 6 46.26 48
 7 53.20 52
 8 61.18 56
 9 70.36 60

After year 7, the Parrots increases far more.
At year 7 they are roughly the same.

8 0

3 years ago

1. Assume you took $2,500 in cash out of your savings account and bought a car worth

STatiana [176]

Answer:

The net worth does not change.

Step-by-step explanation:

Net worth is the sum of all of your assets minus the liabilities.

If you start off with 2,500 in your savings account, then you use the money to buy a car the net worth does not change. You started with a net worth of 2,500 because money in your savings account in considered an asset. You then use that money to buy a car which is an asset, and the car contributes to your net worth.

7 0

2 years ago

Please answer in a step by step explanation

Marizza181 [45]

Answer:

Step-by-step explanation:

its a

6 0

3 years ago

If 2tanA=3tanB,then prove that tan(A-B)=sin2B/(5-cos2B) ...?

andreev551 [17]

Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2) / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
= ( sin 2 B ) / ( 5 + sin² B + cos ² B - 2 cos² B ) =
= ( sin 2 B ) / ( 5 - ( cos² B - sin² B ) ) =
= ( sin 2 B ) / ( 5 - cos 2 B ) - correct

8 0

2 years ago

*Absolute Value* Solve each equation. Write your answer as a solution set. lml=14

Absolute Value Solve each equation. Write your answer as a solution set. lml=14