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2 years ago

Find the slope of the line that passes through (3, -1) and (4, 7)

Mathematics

2 answers:

otez555 [7]2 years ago

6 0

The slope is 4 or 8/2

Mrac [35]2 years ago

5 0

Answer:

Written in slope-intercept form.

y = mx + b

The answer to your question would be

m = 8

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Please help. I’ll mark you as brainliest if correct!

Readme [11.4K]

Answer:

$\large \boxed{\sf \ \ x=0, \ \ y=-5 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

We have two equations:

(1) -2x - 4y = 20

(2) -3x + 5y = -25

5*(1)+4*(2) gives

-10x - 20y -12x + 20y = 100 - 100 = 0

-22x = 0

x = 0

I replace in (1)

-4y = 20

y = -20/4 = -5

There is one solution x = 0, y = -5

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

3 years ago

Read 2 more answers

Is the gcf of a pair of numbers ever equal to one of the numbers

Marianna [84]

No it's a number that can be found in both of the factor lists.

3 0

3 years ago

Which are true about the pyramid? Check all that apply.

Travka [436]

The statements that are true about the pyramid are

The base of the pyramid is a square with four sides, each measuring 756 feet.

The slant height of the pyramid is 612 feet.

All four triangular faces are congruent.

The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

The base of the pyramid is a square with four sides, each measuring 756 feet.

The slant height of the pyramid is 612 feet.

All four triangular faces are congruent.

The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

#SPJ1

4 0

2 years ago

-4 1/2x - 3/7= 1/4<br>find x

DiKsa [7]

- 4(1/2)x - (3/7) = (1/4)
- 4(1/2)x = (1/4) + (3/7)
- (9/2)x = (7+12)/28
-(9/2)x = 19/28
x = (19/28) * 2 / 9
x = (19/14) / 9
x = 19 / (14*9)
x = 19 / 126

7 0

3 years ago

Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, wit

xenn [34]

Answer: Our required probability would be 0.9641.

Step-by-step explanation:

Since we have given that

Number of hours he works a day = 8

So, Number of minutes he worked in a day = $8\times 60=480\ minutes$

Number of calls = 220

So, Average $=\bar{x}=\dfrac{480}{220}=2.18\ minutes$

Standard deviation $=s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.5}{\sqrt{220}}=0.10$

Mean = μ = 2.0 minutes

Standard deviation = σ = 1.5 minutes

Using the normal distribution, we get that

$z=\dfrac{\bar{x}-\mu}{s}\\\\z=\dfrac{2.18-2.0}{0.10}\\\\z=1.8$

So, the probability that Albert will meet or exceed his quota would be

$P(X\leq 2.18)=P(z\leq 1.8)=0.9641$

Hence, our required probability would be 0.9641.

6 0

3 years ago