3 years ago

Which of the following values of x is a solution to the equation negative 2 x plus 8 equals 14?

Mathematics

1 answer:

andreev551 [17]3 years ago

5 0

Answer:

x= -3

Step-by-step explanation:

-2 x 3 =6 so 6+8=14

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Solve for x -3x+6=2x-24 -30 -6 6 30

Svetach [21]

-3x + 6 = 2x - 24.

Add 3x to both sides.

6 = 5x - 24.

Add 24 to both sides.

30 = 5x.

Divide it all by 5.

x = 6.

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3 years ago

Use identities to find the values of the sine and cosine functions for the following angle measure.

puteri [66]

Using the cosine double angle formula,

$\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}$

(Note I took the positive case since $\theta$ terminates in the first quadrant)

Using the Pythagorean identity,

$\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}$

(Note I took the positive case since $\theta$ terminates in the first quadrant)

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1 year ago

PLS PLS HELP :)) which series of transformations takes the graph of f(x)=2x+3 to the graph of g(x)=-2x+4?

jasenka [17]

B. Reflect the graph about the y-axis and translate one unit up

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4 years ago

Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of a

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10 pounds is approximately 4.5 kilograms.

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2 years ago

from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee

Snowcat [4.5K]

Answer:

The height of the building is $73.2\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(38\°)=\frac{BC}{AB}$

we have

$AB=63\ ft$

substitute and solve for BC

$tan(38\°)=\frac{BC}{63}$

$BC=(63)tan(38\°)=49.2\ ft$

Find the height of the building

The height of the building (h) is equal to

$h=BC+24=49.2+24=73.2\ ft$

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4 years ago