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3 years ago

14

Which of the following statements are true about the line y = mx + b?

1 answer:

sergij07 [2.7K]3 years ago

8 0

I think there are about three correct answers from the choices listed above. The statements that would describe the a line y = mx + b would be that the y-intercept is equal to (0, b), slope of the line equals m and <span>rate of change of y with respect to x equals m. Hope this answers the question.</span>

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Look for a percentage and if it's growth or decay<br><img src="https://tex.z-dn.net/?f=y%20%3D%20600%280.71%29%20%5Cfrac%7Bx%7D%

swat32

29% and it shows decay because the number in the parenthesis is less than 1.

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3 years ago

Which, if any, of

Nadya [2.5K]

You need to convert the cartesian coordinates to polar: This means we need to go from (x, y) --> (r, angle)

We can covert, using the following formulas:

Find r:

$(x, y) --> (2, 2\sqrt{3})$

$r^2 = \sqrt{x^2 + y^2}$

$r^2 = \sqrt{2^2 + (2\sqrt{3})^2}$

r = 4

Now, find our angle:

Use the inverse of tan

$\tan^{-1} \frac{2}{2\sqrt{3}} = 30\deg$

Turn 30 degrees to radian

$\frac{\pi}{180} * 30 = \frac{1}{6}\pi$

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3 years ago

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Vanyuwa [196]

Heyyyy

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3 years ago

Vitek1552 [10]

Answer:

$y=-2x-4$

Step-by-step explanation:

<u>Perpendicular Bisector</u>

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

$\displaystyle x_m=\frac{-3+5}{2}=1$

$\displaystyle y_m=\frac{-8-4}{2}=-6$

Midpoint: M(1,-6)

Let's find the slope of the given segment. The slope can be calculated with the formula:

$\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}$

$\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}$

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2$

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

$y-y_o=m(x-x_o)$

$y-(-6)=-2(x-1)$

Operating

$y+6=-2(x-1)$

$y+6=-2x+2$

Rearranging

$\boxed{y=-2x-4}$

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4 years ago

A penguin walks 10 feet in 6 seconds. At this speed: 1.How far does the penguin walk in 45 seconds? 2.How long does it take the

irina [24]

1-75 feet
2-28 seconds , hope this helps!!

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3 years ago