All categories

2 years ago

Find the equation of the line below if necessary use the slash (/) to indicate a division bar (2,6)(1,3)

1 answer:

7 0

Given that the line passes through points:
(2,6), (1,3)
the equation will be given by:
m(x-x1)=y-y1
where
slope, m=(y-y1)/(x-x1)
from the points given:
m=(6-3)/(2-1)=3/1=3
thus the equation will be given by:
using point (1,3)
3(x-1)=y-3
3x-3=y-3
hence
y=3x-3+3
y=3x
Answer: y=3x

You might be interested in

Tomas has $45.00 to purchase favors for a party. If the favors are $3.75 each, how many favors can Tomas buy?

elena-14-01-66 [18.8K]

12 is right^^^^^^^^^^^^

5 0

2 years ago

Read 2 more answers

Which product is negative? (Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (one-four

nasty-shy [4]

Answer:

$(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)$

Step-by-step explanation:

The given options are:

$(A)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(\dfrac14\right)\\(B)\left(\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)\\(C)\left(\dfrac38\right)\left(\dfrac57\right)\left(\dfrac14\right)\\(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)$

The key to determining which product is negative is to understand the rule of sign multiplication.

Now:

The product of even negative terms is positive
The product of odd negative terms is negative.
The product of positive will always be positive.

In Options A and B, the number of negative signs is even, therefore our result is positive.

In option C, all the terms are positive, therefore our result will be positive.

In Option D, the number of negative signs is odd, therefore our result is negative.

4 0

2 years ago

Read 2 more answers

The selling price of a box of crackers is $1.75 You mark the crackers up to $2.54 . What is the markup percentage?

Aleks04 [339]

The markup percentage is 45.14%

Step-by-step explanation:

The given is:

The selling price of a box of crackers is $1.75
You mark the crackers up to $2.54

We need to find the markup percentage

The markup percentage = $\frac{New-Old}{old}$ × 100%

∵ The selling price of a box of crackers is $1.75

∴ Old = 1.75

∵ You mark the crackers up to $2.54

∴ New = 2.54

- Substitute these values in the rule above

∵ The markup percentage = $\frac{2.54-1.75}{1.75}$ × 100%

∴ The markup percentage = $\frac{0.79}{1.75}$ × 100%

∴ The markup percentage = 0.4514 × 100%

∴ The markup percentage = 45.14%

The markup percentage is 45.14%

Learn more:

You can learn more about percentage in brainly.com/question/1834017

#LearnwithBrainly

8 0

2 years ago

Read 2 more answers

a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height o

irina1246 [14]

To find the volume of the prism you are going to use the formula V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.

Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3

Upon simplifying that you get 540.

Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512

I recommend drawing it out... it helps a lot:)

4 0

2 years ago

Suppose the area that can be painted using a single can of spray paint is slightly variable and follows a nearly normal distribu

Svetllana [295]

Answer:

Step-by-step explanation:

Hello!

You have the variable

X: Area that can be painted with a can of spray paint (feet²)

The variable has a normal distribution with mean μ= 25 feet² and standard deviation δ= 3 feet²

since the variable has a normal distribution, you have to convert it to standard normal distribution to be able to use the tabulated accumulated probabilities.

P(X>27)

First step is to standardize the value of X using Z= (X-μ)/ δ ~N(0;1)

P(Z>(27-25)/3)

P(Z>0.67)

Now that you have the corresponding Z value you can look for it in the table, but since tha table has probabilities of $P(Z$ , you have to do the following conervertion:

P(Z>0.67)= 1 - P(Z≤0.67)= 1 - 0.74857= 0.25143

There was a sample of 20 cans taken and you need to calculate the probability of painting on average an area of 540 feet².

The sample mean has the same distribution as the variable it is ariginated from, but it's variability is affected by the sample size, so it has a normal distribution with parameners:

X[bar]~N(μ;δ²/n)

So the Z you have to use to standardize the value of the sample mean is Z=(X[bar]-μ)/(δ/√n)~N(0;1)

To paint 540 feet² using 20 cans you have to paint around 540/20= 27 feet² per can.

P(X≤27) = P(Z≤(27-25)/(3/√20))= P(Z≤2.98)= 0.999

No. If the distribution is skewed and not normal, you cannot use the normal distribution to calculate the probabilities. You could use the central limit theorem to approximate the sampling distribution to normal if the sample size was 30 or grater but this is not the case.

I hope it helps!

4 0

2 years ago