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3 years ago

An English class consists of twenty students, and four are to be chosen to give speeches in a school competition.

1 answer:

4 0

A)If the order of the speakers is important, we have 20x19x18x17, or 116,280 different options.
b) If order is not important, then we have 20 choose 4, or 4845 different slates. ☺☺☺☺

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I NEED YOUR HELLPPP!!

BaLLatris [955]

Answer:

$y = -\frac{1}{2}x - 8$

Step-by-step explanation:

1. The slope-intercept form of a linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope, let's take the two points (-10,-3) and (-8,-4) to then plug their values into this formula: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-4-(-3)}{-8-(-10)}$
$-\frac{1}{2}$

3. Great, now that we have our slope, the equation looks like this so far: $y = -\frac{1}{2} x + b$ .

4. Since b is the y-intercept, b = -8 because the line intersects the y-axis at the coordinate, (0,-8).

5. When plugging in the values of m and b, we get the equation of $y = -\frac{1}{2} x - 8$

6 0

2 years ago

Write the equation of the line with a slope of 3/4 and a y-intercept of -7 in slope - intercept and point -slope form.

marta [7]

slope intercept:

y=3/4x-7

point slope form:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=-5x-10%3D10" id="TexFormula1" title="-5x-10=10" alt="-5x-10=10" align="absmiddle" class="latex

konstantin123 [22]

Answer:

x = -4

Step-by-step explanation:

-5x -10 = 10

First thing to do when solving one-variable linear equations is to get the variable by itself. We can do this by adding 10 to both sides:

-5x = 20

Now that we have -5x on one side of the equation we can divide the equation by -5 to get x:

x = -4

3 0

2 years ago

Read 2 more answers

Suppose the volume of a cylinder is 169.65 ft cubes and the height is twice the radius what is the radius of the cylinder.

Delvig [45]

Answer:

The radius of the cylinder is $r=3\ ft$

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$V=169.65\ ft^{3}$

$h=2r\ ft$

assume

$\pi=3.14$

substitute the values and solve for r

$169.65=(3.14)r^{2} (2r)$

$169.65=(6.28)r^{3}$

$r^{3}=169.65/(6.28)$

$r=3\ ft$

3 0

3 years ago

Which of the points listed is the same distance from the y-axis as the point (−1.5, 6)?

Volgvan

The complete question in the attached figure

we know that
<span>the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates
</span>
in this problem
the point <span>(−1.5, 6)
the </span>absolute value of x-coordinates is 1.5
hence
the distance is 1.5

therefore

the answer is
the option B) the point (1.5,-3)

7 0

3 years ago