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3 years ago

Write an equation for a line that is parallel to y = -3x – 5 that goes through the point (-1, 8)

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Answer:

y = -3x +5

Step-by-step explanation:

Parallel means that both slopes are the same.

This gives us y = -3x + C so far.

To find the y-intercept, we need to get x to 0.

Since we know the point (-1, 8), we can plug the number in into our equation

y = -3x + C.

8 = -3(-1) + C

8 = 3 + C

8 - 3 = C

5 = C or C = 5.

Now plug in C into our unsolved equation to get y = -3x +5.

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Two long strips of paper are each 2 inches wide, and they overlap so that the angle between the strips is 30 degrees. What is th

horrorfan [7]

Answer:

2inch^2 is our area overlap

Step-by-step explanation:

2 inch base 2 inch width when crossed shows us symmetrical line on the parallel, which gives us our height of 1 inch as one inch equilateral triangle is formed each side of the symmetrical line.

Formula for Area is bh

Area = 1 x 2 = 2inch^2

6 0

3 years ago

What is the unit distance, Rounded to the nearest hundredth, between the points (-5, 2) and (3, 7)?

Lostsunrise [7]

Answer:

Distance=9.43 units

Step-by-step explanation:

When you have two coordinates and you need to find the distance between them, you can use the distance formula.

D=sqrt(7-2)^2+(3-(-5))^2

D=sqrt(5^2+8^2)

D=sqrt(25+64)

D=sqrt89

D=9.43, rounded to the nearest hundredth.

Therefore, your distance would be 9.43 units.

I hope this helped! Have a good rest of your day~

3 0

3 years ago

Martina purchases a bookcase at $91. With sales tax, the total comes out to $94.64. What is the sales tax percentage?

olchik [2.2K]

Thanks so sorry to bother y’all yesterday but we are doing well and we are going out tomorrow morning to get our stuff done for tomorrow evening thanks for the call and I let him go to work tomorrow or tomorrow morning I can meet with him and meet him and there are we going out tomorrow at 7pm is that we can do that and if so I will let ya guys out tomorrow and I

7 0

4 years ago

Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each and cookies cost $0.75 each. Which of thes

Setler79 [48]

Answer:

1.1h+0.75c=4.55---------------1

h+c=5--------------2

Step-by-step explanation:

Step one:

given data

total lunch items= 5

let hot dogs be h

and cookies be c

cost of hot dogs = $1.10

cost of cookies = $0.75

total cost = $4.55

Step two:

The linear model for the total cost is given as

4.55=1.1h+0.75c---------------1

and the model for the number of items is

h+c=5--------------2

The systems of the equation for the situation is

1.1h+0.75c=4.55---------------1

h+c=5--------------2

6 0

3 years ago

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triang

kipiarov [429]

Answer:

The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

Step-by-step explanation:

The image related to the exercise is necessary, to be able to solve therefore the attached one.

We have the following information:

Perimeter of the triangle = 58 units

Hypotenuse = 24 units

We have that the other two sides are equal and have x units, therefore we have the following:

x + x + 24 = 58

2 * x = 58-24

2 * x = 34

x = 34/2

x = 17

Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.

Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

4 0

3 years ago