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3 years ago

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The equation of line WX is 2x+y=-5. What is the equation of a line perpendicular to line WX in slope-intercept form that contain

s point (-1,-2)?

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + y = - 5 into this form by subtracting 2x from both sides

y = - 2x - 5 ← in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-2}$ = - $\frac{1}{2}$ , hence

y = $\frac{1}{2}$ x + c ← is the partial equation of the perpendicular line

To find c substitute (- 1, - 2) into the partial equation

- 2 = - $\frac{1}{2}$ + c ⇒ c = - $\frac{3}{2}$

y = $\frac{1}{2}$ x - $\frac{3}{2}$ ← equation in slope- intercept form

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Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error? Round your

zloy xaker [14]

% change= (new # - original #) ÷ original # x 100

original #= 98
new #= 62

% change= (62-98)/98 x 100
= -36/98 x 100
= -0.36734 x 100
= -36.73%

Rounded to nearest 10th of %= -36.7%

CHECK:
= 98 - (98 * 36.73%)
= 98 - (98 * 0.3673)
= 98 - 36
= 62 new #

ANSWER:
Her percent error was 36.7% (rounded to the nearest tenth of a percent). The negative indicates a decrease.

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

A soccer team has 15 players and needs to choose a captain and an assistant captain. How many ways can those positions be select

Molodets [167]

Answer:

30?

Step-by-step explanation:

I think its 30 because 15*2 is 30 but I really don't know im sorry

3 0

3 years ago

The cube shown below holds 64 cubic centimeters of water. Label the dimensions of the cube.

LekaFEV [45]

The measure of the side of the cube is <u>4 centimeters</u>, and its dimensions are <u>4 centimeters × 4 centimeters × 4 centimeters</u>.

A cube is a solid object in three dimensions with six square faces that all have the same length of sides. Six square faces, eight vertices, and twelve edges make up the form. Since the 3D figure is a square with equal-length sides, the length, breadth, and height of a cube are all the same measurement. The edge, which is regarded as the bounding line of the edge, is the shared border between the faces of a cube. Each face is connected to four vertices and four edges, three vertices are connected to three edges and three faces, and two vertices and two edges are in contact to create the structure.

A cube's volume is the amount of space it takes up. Finding the cube of the cube's side length will provide the volume of the cube.

Cube volume equals a³, where a is the length of a cube's side.

In the question, we are asked to find the dimensions of the cube, given that it holds 64 cubic centimeters of water.

If the cube holds 64 cubic centimeters of water, then we know that the cube's volume is 64 cubic centimeters.

Assuming the length of the side of the cube to be centimeters, we can say that a³ = 64, knowing that a cube volume equals a³, where a is the length of a cube's side.

Thus, we have a³ = 64,

or, a = ∛64,

or, a = 4.

Thus, the measure of the side of the cube is <u>4 centimeters</u>, and its dimensions are <u>4 centimeters × 4 centimeters × 4 centimeters</u>.

Learn more about the volume of a cube at

brainly.com/question/1972490

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4 0

2 years ago

Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime

Sladkaya [172]

Answer:

$m(x)_A = 5.2$ --- Mean absolute deviation of educational documentary

$m(x)_B = 4.7$ --- Mean absolute deviation of prime time drama

Step-by-step explanation:

Given

$n = 10$

See attachment for table

Required

Determine the mean absolute deviation of each

Mean absolute deviation m(x) is calculated as:

$m(x) = \frac{1}{n}\sum |x - \mu|$

For Educational Documentary

First, calculate the mean

$\mu = \frac{\sum x}{n}$

So:

$\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}$

$\mu_A = \frac{232}{10}$

$\mu_A = 23.2$

The mean absolute deviation is then calculated as:

$m(x)_A = \frac{1}{n}\sum |x - \mu_A|$

$m(x)_A = \frac{1}{10}(|26 -23.2| +|28 -23.2| +|30 -23.2| +|18 -23.2| +|27 -23.2| +|18 -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)$

$m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)$

$m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)$

$m(x)_A = \frac{1}{10}*52$

$m(x)_A = 5.2$

For Prime time Drama

First, calculate the mean

$\mu = \frac{\sum x}{n}$

So:

$\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}$

$\mu_B = \frac{341}{10}$

$\mu_B = 34.1$

The mean absolute deviation is then calculated as:

$m(x)_B = \frac{1}{n}\sum |x - \mu_B|$

$m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)$

$m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)$

$m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)$

$m(x)_B = \frac{1}{10}*47$

$m(x)_B = 4.7$

6 0

3 years ago

A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.

AlexFokin [52]

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-11-4}{13-10}\implies \cfrac{-15}{3}\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-5(x-10)$

now

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

therefore,

$\bf y-4=-5(x-10)\implies y-4=-5x+50\implies \blacktriangleright 5x+y=54 \blacktriangleleft$

7 0

4 years ago