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Inessa05 [86]
3 years ago
10

Given the point (-1, 1) and the slope 4, write the equation of the line in slope-intercept

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

y=4x+5

Step-by-step explanation:

Slope intercept is y=mx+b. y=y-value, m=slope, x=x-value and, b=y-intercept.

With the information given we can plug some numbers into the equation: 1=4(-1)+b

Solving for b we get, {4(-1)=-4, -4--4=0, 1--4=5} 5=b. Therefore, B is equal to 5.

Plug that into the original problem: y=4x+5 and re-add the plot point 1=4(-1)+5 and solve to verify the answer.

After solving, {4(-1)=-4+5=1} we get  1=1 which is a true statement.

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What is the best approximation of the solution to the system of the nearest integer values
Natali5045456 [20]

Answer:

  • (2, 3.5) or (2, 3)

Step-by-step explanation:

<em>See attached.</em>

The intersection of the lines is the solution.

<u>Approximate values of the coordinates is:</u>

  • (2, 3.5) or (2, 3) if integer values are required

7 0
2 years ago
Read 2 more answers
3(x - 2) + 48 = -3x
kow [346]

Answer: X=-7

Step-by-step explanation:

Using PEMDAS;

Step 1: Distribute the "3" in the part of the equation "3(x-2)"

3x - 6

Step 2: Consider the equation as a whole with the newly part of the equation from step 1, as it is a part of the equation

Therefore, re-written as,

3x - 6 + 48 = -3x

Step 3: Evaluate the re-written equation

Using basic mathematics skills, we can evaluate the following,

3x - 6 + 48 = -3x ➡ -6 + 48 = -6x ➡ 42 = -6x ➡ -7 = x

As shown, the answer is x=-7.

8 0
3 years ago
Which is the best prove why.5 gallon bucket of paint for $97.45 of a 1 gallon bucket of paint for 21.95.?
Greeley [361]
97.45 / 5 = 19.49 per gallon

and then there is 21.95 per gallon

the better deal would be the 5 gallon bucket for 97.45 because if u buy it this way, it is cheaper by the gallon
4 0
3 years ago
PLEASE HELP ME!!!!!!
Harrizon [31]
65-26
A = 200(1+(0.0275/12)^0.0275(12 x 41 ) graph this in y =
7 0
3 years ago
Elena bought a backpacking tent to take with her on hiking trips.
Masteriza [31]

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

3 0
3 years ago
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