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kogti [31]
3 years ago
9

2x + 4 ( -6x + 12) = -84 What is X?

Mathematics
2 answers:
katrin [286]3 years ago
5 0
2x + 4(-6x + 12) = -84

2x - 24x + 48 = -84

-22x + 48 = -84

-22x = -84 - 48

-22x = -132

x = -132/-22

x = 6

hope this helps, God bless!
shusha [124]3 years ago
3 0
2x + 4 ( -6x + 12) = -84 Distribute 4(-6x) and 4(12)

2x - 24x + 48 = -84 2x-24x = -22x

-22x + 48 = -84 Subtract 48 to both sides

-22x = -132 then divide -22x to both sides

-132 ÷ -22

=6
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What is the slope-intercept equation of the line below?
Nataly [62]

Answer:

D

Step-by-step explanation:

We will use the 2 coordinates marked on the graph as the reference.

The coordinates are:

A(4,-2)

B(0,3)

We know that the standard form for equation of line is:

y = mx+c

where m is the slope of the equation

and c is the y-intercept.

Very clearly, the y-intercept is where the line intercepts the y line.

and in this case, y-intercept = c = 3.

Now we know that the equation of line is now

y = mx + 3

To find m, the slope, we can use the 2 above coordinates.

slope of line = \frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}

(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)

Equation of line: y=-\frac{5}{4} x+3

Therefore the answer is D.

4 0
2 years ago
Classify this triangle by the angles and lengths of sides shown.
alekssr [168]
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8 0
3 years ago
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Troyanec [42]

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Step-by-step explanation:

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3 years ago
What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

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The maximum height of of Anna's golf ball.

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y=x-0.04x^2

Differentiate with respect to x.

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y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

-0.08x=-1

x=\dfrac{-1}{-0.08}

x=12.5

Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

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Therefore, the maximum height of of Anna's golf ball is 6.25 units.

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