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3 years ago

What is the equation of the line on the graph with points (-2,2) and (-2,-3)

Mathematics

1 answer:

nika2105 [10]3 years ago

4 0

Answer:

x=-2

Step-by-step explanation:

Given points are (-2,2) and (-2,-3).

Now we need to find equation of the line passing through the given points.

So let's begin by finding slope

$m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}$

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.

Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.

x-coordinate is -2 in given points.

Hence final equation is x=-2.

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Do you know works at a dinner she earn six dollars each hour plus tips in one week she worked 37 hours a week and earned 43 tips

lukranit [14]

Answer:

265

Step-by-step explanation:

The computation of the amount that should be make out together is shown below:

Let us assume the number of hours be x

And, the total money earned be y

Now the equation would be

y = 6x + 43

= 6(37) + 43

= 265

5 0

2 years ago

Kimi and Jordan are each working during the summer to earn money in addition to

cluponka [151]

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hour
Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

$y =9x + 8$

Jordan

Earnings = $7 per hour
Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

$y = 7x + 16$

Equate both equations

$7x + 16 = 9x + 8$

Collect like terms

$9x - 7x = 16 - 8$

$2x =8$

Divide both sides by 2

$x =4$

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

brainly.com/question/13729904

7 0

2 years ago

What is the reference angle for 7 pi/6?

Mademuasel [1]

Answer:

$\frac{\pi }{6}$

Step-by-step explanation:

$\frac{7\pi }{6}$ is an angle in the third quadrant

To find the reference angle subtract π from it

reference angle = $\frac{7\pi }{6}$ - π = $\frac{\pi }{6}$

3 0

3 years ago

a data set has a mean of 68 and standard deviation of 6. An element in this set is 51. What is z-score for 51? Round your answer

gogolik [260]

z = -2.83

Explanation:

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

$z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}$

Substituting the value we get:

$z = \frac{51-68}{6} \\\\z = -2.83$

A negative z score says that the data point is below average.

4 0

3 years ago

Factor Completely: x^2-13x-48

salantis [7]

Answer:

Therefore,the required factors are ( x - 16 ) and ( x + 3 )is

Step-by-step explanation:

Given:

$x^{2} -13x-48$

To Factorize:

Solution:

First remove the factor of -48 such that you multiply the two number, the Product should be -48 and the SUM should be -13.

-48 = -16 × 3

Here, -16 and 3 are the two required numbers

now the given expression we will split the middle term and Factorize the given equation.

$x^{2} -13x-48 =x^{2} -16x+3x-48\\\\\\\textrm{removing x common and 3 common we get}\\x^{2} -13x-48=x(x-16)+3(x-16)\\\\x^{2} -13x-48=(x-16)(x-3)$

Therefore,the required factors are ( x - 16 ) and ( x + 3 )

4 0

3 years ago