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gavmur [86]
3 years ago
6

If 4j+3=-5. what is j +9?

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

7

Step-by-step explanation:

First, we solve for j in the first equation:

4j+3=-5

4j=-8

j=-2

Now we plug j into j+9:

-2+9=7

So j+9 is 7

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3 years ago
Evaluate the numerical expression 3+21-180÷9. The value of the expression is?
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the answer is 4.

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3 years ago
If θ is an angle in standard position that terminates in Quadrant III such that tanθ = 5/12, then sinθ/2 = _____
babunello [35]

Answer:

sin θ/2=5√26/26=0.196

Step-by-step explanation:

θ ∈(π,3π/2)

such that

θ/2 ∈(π/2,3π/4)

As a result,

0<sin θ/2<1, and

-1<cos θ/2<0

tan θ/2=sin  θ/2/cos θ/2

such that

tan θ/2<0

Let

t=tan θ/2

t<0

By the double angle identity for tangents

2 tan θ/2/1-(tanθ /2)^2  = tanθ

2t/1-t^2=5/12

24t=5 - 5t^2

Solve this quadratic equation for t :

t1=1/5 and

t2= -5

Discard t1 because t is not smaller than 0

Let s= sin θ/2

0<s<1.

By the definition of tangents.

tan θ/2= sin θ/2/ cos θ/2

Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.

cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2

Solve for s.

s/-√1-s^2 = -5

s^2=25(1-s^2)

s=√25/26 = 5√26/26

Therefore

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3 years ago
The expression 38d+34 factored is
djyliett [7]
38d + 34 = 2(19d + 17)

Hope this helps.
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3 years ago
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