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3 years ago

Y=4x+rx+6 solve for x

1 answer:

5 0

$y=4x+rx+6$

$y-6=4x+rx

$ $Subtract \ 6 \ from \ both \ sides$

$y-6=x(4+r)

 
$ $Factor \ out \ the \ common \ term \ x$

$\dfrac{y-6}{4+r} =x$ $Divide \ both \ sides \ by \ 4+r$

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Sami made 23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his

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Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour

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3 years ago

Angle K measures 67º and angle L measures 119°.

DaniilM [7]

Answer:

C. m Angle M = 113o and m Angle N = 61o

Step-by-step explanation:

It's the only answer that makes all the angles added together equal 360 degrees.

67 + 119 + 113 + 61 = 360

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3 years ago

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At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet

elena-s [515]

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

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3 years ago

Which of the following inequalities matches the graph? graph of an inequality with a dashed line through the points (0, 7) and (

stiks02 [169]

Answer:

2x + y < 7

Step-by-step explanation:

First we find the slope of the line that passes through the given points. The formula for slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our points, we have

$m=\frac{7-5}{0-1}=\frac{2}{-1}=-2$

The y-intercept will be the point where the data crosses the y-axis. All y-intercepts have an x-coordinate of 0; since we already have the point (0, 7), we have the y-intercept at 7. This makes our equation

y = -2x + 7

The inequalities we're given are written in standard form, Ax+By=C. This means we need x and y on the same side of the equals in our equation.

Since the inequality is graphed below the line, we want our inequality to be

y < -2x+7

To move the x-value to the other side of the equation, we will add 2x to each side:

y+2x < -2x+7+2x

y+2x < 7

2x+y < 7

7 0

3 years ago

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Given the vectors A⃗ and B⃗ shown in the figure ((Figure 1) ), determine the magnitude of B⃗ −A⃗. A is 28 degrees above the posi

Vlad [161]

This problem is represented in the Figure below. So, we can find the components of each vector as follows:

$\bullet \ cos(28^{\circ})=\frac{Adjacent}{Hypotenuse}=\frac{A_{x}}{44} \\ \\ \therefore A_{x}=44cos(28^{\circ})=38.85m \\ \\ \\ \bullet \ sin(28^{\circ})=\frac{Opposite}{Hypotenuse}=\frac{A_{y}}{44} \\ \\ \therefore A_{y}=44sin(28^{\circ})=20.65m$

$\bullet \ cos(56^{\circ})=\frac{Adjacent}{Hypotenuse}=\frac{-B_{x}}{26.5} \\ \\ \therefore B_{x}=-26.5cos(56^{\circ})=-14.81m \\ \\ \\ \bullet \ sin(56^{\circ})=\frac{Opposite}{Hypotenuse}=\frac{B_{y}}{26.5} \\ \\ \therefore B_{y}=26.5sin(56^{\circ})=21.97m$

Therefore:

$\vec{A}=(38.85, 20.65)m \\ \\ \vec{B}=(-14.81, 21.97)m$

So:

$\vec{B}-\vec{A}=(-14.81, 21.97)-(38.85, 20.65)=(-53.66,1.32)$

Finally, the magnitude is:

$\boxed{\left| \vec{B}-\vec{A}\right|=\sqrt{(-53.66)^2+(1.32)^2}=53.67m}$

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3 years ago

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