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djyliett [7]
3 years ago
13

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

x = -8/b

Step-by-step explanation:

2bx – bx = -8

Combine like terms

bx = -8

Divide by b

bx/b = -8/b

x = -8/b

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10 exponent negative 9 divided by 10 exponent negative 3
anygoal [31]
\frac{x^a}{x^b}=x^{a-b}  \\ x^{-a}= \frac{1}{x^a}  \\  \\  \\  \frac{10^{-9}}{10^{-3}} =10^{-9-(-3)}=10^{-9+3}=10^{-6}= \frac{1}{10^6} = \frac{1}{1000000} =0,000001
8 0
3 years ago
The 11 foot long bed of a dump truck loaded with debris must rise an angle of degrees before the debris will spill out. Approxim
Ymorist [56]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. The complete question is:

The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.

Solution:

Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:

sin θ = opposite / hypotenuse

Using trigonometric identities, we can get that:

sin(30) = x / 12

This gives:

0.5 = x / 12

Cross multiplying the terms to get:

x = 12 * 0.5

x = 6 ft

Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.

4 0
3 years ago
How is the graph of y = –x2 – 1 different from the graph of y = –x2?
KonstantinChe [14]

Every transformation like

f(x)\mapsto f(x)+k

translated the graph vertically, k units up if k is positive, k units down if k is negative.

So, in your case, we have that -x^2-1 is the same graph as -x^2, except it's shifted 1 unit down.

5 0
3 years ago
What is the Y intercept of a line that has a slope of 1/4 and passes through point 8,three
natali 33 [55]

Answer:5

Step-by-step explanation:

2+2=4+1=5

7 0
2 years ago
The scale on a drawing is 3 in.:4 ft. The actual length of the object is 24 feet. How many inches is the length of the object on
Morgarella [4.7K]
In:ft 
3:4
x:24--- to find x, multiply each side by 6, because 24/4=6
3*6:24
18:24
The length of the object is 18 in. I think this is what your asking, but I'm not sure because I didn't quite understand the wording on the problem.
3 0
2 years ago
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