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ddd [48]
3 years ago
5

Rewrite the expression using a single, positive exponent: 14^-3x14^12

Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

14⁹

Step-by-step explanation:

When you're multiplying, you add the exponents. So, -3+12=9.

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Factor the expression. d2 + 12d+ 36
Natali5045456 [20]

Answer:

the factored expression is

(d+6)(d+6) or (d+6)^2

Step-by-step explanation:

8 0
3 years ago
Greatest common factor of 18,36 and 45
satela [25.4K]

Answer:

9

Step-by-step explanation:

List out the factors of the three numbers.

18: 1, 2, 3, 6, 9, 18

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

45: 1, 3, 5, 9, 15, 45

The largest number that all three of these lists share is 9, so 9 is the GCF.

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7 0
3 years ago
Read 2 more answers
The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m
evablogger [386]
ANSWER

x = 50.5 \degree

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,


\frac{ \sin(A) }{a}  =  \frac{ \sin(B) }{b}  = \frac{ \sin(C) }{c}


From the triangle,

\frac{ \sin(x) }{60}  =  \frac{ \sin(40) }{50}

We multiply both sides of the equation by 60 to get,

sin(x)  =  \frac{ 60\sin(40 \degree) }{50}


sin(x)  = 0.7713



We solve for x to obtain,

x = arcsin(0.7713)


x = 50.475

To the nearest tenth, we round to one decimal place to get,

x = 50.5 \degree

7 0
3 years ago
Prove <5 is supplementary to <6 using theorems.
babunello [35]

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

6 0
2 years ago
Find the distance between the given point (2,-2) and (-4,-7)
tatiyna

Answer:

-11

Step-by-step explanation:

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7 0
3 years ago
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