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2 years ago

Solve the equation. |x + 5| = 9 {–4, 14} {–14, 4} {4, 14} {–14, –4}

Mathematics

1 answer:

inna [77]2 years ago

6 0

Answer:

{-14, 4}

Step-by-step explanation:

the absolute value function only makes sure that the result always has a positive sign.

so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.

so,

x + 5 = 9

x = 4

and

x + 5 = -9

x = -14

that gives us the correct set of solutions as indicated above.

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Find the measure of DC if m

kupik [55]

Answer:

B. 132°

Step-by-step explanation:

<u>Find the measure of arc BD</u>

m∠A = 1/2(arc BC - arc BD)
2*36° = 150° - arc BD
arc BD = 150° - 72° = 78°

<u>Find the measure of arc DC</u>

arc BD + arc BC + arc DC = 360°

arc DC = 360° - (150° + 78°) = 360° - 228° = 132°

Correct choice is B

7 0

2 years ago

Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of

grandymaker [24]

D -9 because it has a -3 and its going to be the same - sign

7 0

2 years ago

Read 2 more answers

3 solutions for x<-2

Soloha48 [4]

Answer:

-3,-4,-5

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

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pochemuha

ok so divide 1500 by 250 to determine how many boxes you need to by in 1 year

so that equals 6 then you multiply that by $30 to find the total cost of all the diapers per year so the is $180 per year and then multiply that by 3 to find the cost of all 3 years

So the answer is you will spend $540 in total

8 0

2 years ago

If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi > 0 what is theta ? Repeat for sin phi < 0.

Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

$\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\$

Therefore:

arctan(θ) = -2/3

θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0

3 years ago