All categories

3 years ago

Write an equation in point-slope form of the line through point J(4,2) with slope 3.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

5 0

Step-by-step explanation:

Given

slope (m) = 3

Point

( x1 , y1) = ( 4 , 2)

The equation of line is

y - y1 = m( x - x1)

y - 2 = 3( x - 4)

y - 2 = 3x - 12

3x - y - 12 + 2= 0

3x - y - 10 = 0

Which is the required equation

Hope it will help you :)

You might be interested in

Which inequality does the graph represent?

polet [3.4K]

It would have to be number 2 if it's a dotted line, all the other options are incorrect unless you made a mistake with one or two of the symbols.

4 0

3 years ago

A conjecture and the two-column proof used to prove the conjecture are shown.

Ahat [919]

Answer:

Just took the quiz hopefully this helps!

Step-by-step explanation:

4 0

2 years ago

15. In the diagram AB is parallel to CD.<br> Calculate the value of a.<br> NOT TO<br> SCALE

VikaD [51]

Same-side interior angles, which are shown here, are supplementary, which means that they add up to 180 degrees.

5a + a = 180

6a = 180

a = 30 degrees

Hope this helps! :)

5 0

3 years ago

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

3 years ago

Nathan's family took a road trip to Mount Rushmore. Nathan fell asleep 9% of the

Marat540 [252]

Answer:

600

Step-by-step explanation:

6 0

3 years ago