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Elden [556K]
3 years ago
10

What is the correct solution to 1/2(x+18)=4(2x-6)-9x

Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

x = 22

Step-by-step explanation:

I interpreted your problem as:

\frac{1}{2} (x+18) = 4(2x-6)-9x

I simplified the problem to:

\frac{1}{2} x+9 = 8x-24-9x

I combined like terms:

\frac{1}{2} x+9 = -x-24

I moved all x to one side and all other constants to the other:

\frac{3}{2} x = -33

I divided by 3/2 (1.5) on both sides to isolate x:

x = 22

Hope it helps! (:

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Can someone please explain to me how they got 44 degrees??
prisoha [69]

Answer:

Sine rule states that the ratio of a side of a triangle to the angle opposite the side is equivalent for all 3 sides and their respective opposite angles.

\boxed{ \frac{sinA}{a}  =  \frac{sinB}{b}  =  \frac{sinC}{c} }

Thus, the side opposite ∠B is side AC, which is 10 units long. The side opposite ∠A is side BC, which is 8 units long. Substitute these values into the formula. (We are at line 2 of working)

Line 3: multiply both sides by 10 to find sinB

This would give us

sinB = \frac{10sin34°}{8}

This is can also be written as: (as seen in line 4)

sinB =  \frac{10}{8}( sin34°)

To find the measure of angle B:

m∠B = sin^{ - 1} ( \frac{10sin34°}{8} ) \\ m∠B = 44° \\ (nearest \: degree)

<em>~ Explanation for line 6 and onwards~</em>

The sine of an angle is positive in quadrants I and II. Since sinB is positive (≈0.69899), we are looking at these 2 quadrants. Since the reference angle is 44° rounded off to the nearest whole degree, in quadrant I, the angle would be 44° too.

In quadrant 2, the angle would be 180° -44°= 136°.

6 0
3 years ago
What is the slope of a line that is perpendicular<br> to a line with a slope of -⅓
kumpel [21]

Answer:

3/1, or 3

Step-by-step explanation:

When you have a perpendicular line, if it is a negative, you take away the negative, and if it is a fraction, you turn it upside down. 1/3 becomes 3/1.

8 0
3 years ago
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Answer:

C. 16

Step-by-step explanation:

The distance between two points on the number line is the absolute value of the difference of their coordinates.

If the coordinates of two points on the number line are a and b, then the distance between the two points is

d = |a - b|

The coordinates here are -9 and 7.

distance = |-9 - 7| = |-16| = 16

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Ulleksa [173]

By adding or subtracting from the exponent in an exponential, it can cause the graph to be translated left or right on the grid.

By adding or subtracting from an exponential function, it can cause the graph to be translated up or down on a grid.

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3 years ago
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Nostrana [21]

Answer:

7.5

Step-by-step explanation:

7.5 is greater than 7.05

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4 years ago
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