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d1i1m1o1n [39]
2 years ago
9

What is an equation of the line that passes through the points (-8, 2) and (-4, -3)?

Mathematics
1 answer:
Alexus [3.1K]2 years ago
4 0

Answer:

y = -5/4x - 8

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-3 - 2)/(-4 - -8) = -5/4

Given (-8,2)

y = mx + b

2 = -5/4(-8) + b

2 = 10 + b

b = -8

y = -5/4x - 8

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Click on the words to go to the picture
balu736 [363]
B) 196 cubic cm or something like that... First you multiply 7x5x14=490... then you divide 490/5 because you're working in fifths and get 98... the white is only two-fifths so you multiply 98 times 2 and get 196
3 0
3 years ago
Part 2: describe the shape of your cross section of a slice of banana at 45° angle to a space draw picture of the sheep. Part 3:
xenn [34]

Answer:

Part 2:

The shape of a banana cut in 45° angle is that of a curve that is closed with the appearance of a flattened circle or an oval similar to an ellipse therefore having two focal points

The drawing of the angle cross section of a cylinder representing the banana is attached

Part 3:

When the banana is cut in half, perpendicular to the base of the banana, the shape formed is circular withe the center of the banana being about the same location as the center of the circle

The drawing of the perpendicular cross section of a cylinder representing the banana is

Step-by-step explanation:

8 0
2 years ago
Peter is buying office supplies he is able to buy three packages of paper in for staplers for $40 or he is able to buy five pack
Damm [24]

<u>Answer:</u>

Cost of package of paper = 4$

Cost of stapler = 7$

<u>Explanation:</u>

Consider the cost of package of paper = x and that of stapler = y.

Now, we are given that cost of 3 paper packages and 4 staplers = 40$

Hence we get, 3x + 4y = 40 as 1st equation.

we are also given, cost of 5 paper packages and 6 staplers = 62$

Hence, the second equation is 5x + 6y = 62

Now, solving the two equations by method of elimination, we first equate coefficients of any one variable say x by multiplying 1st equation by 5 and second by 3 we get ->

15x + 20y = 200

15x + 18y= 186

Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4

which gives the required cost of one paper package = x = 4$

and one stapler = y = 7$

7 0
3 years ago
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons
Juliette [100K]

Answer:

<em>The water is leaking at the rate of 0.0625 gal/min.</em>

Step-by-step explanation:

<u>Rate of change</u>

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.

When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.

Calculating the rate at which it's leaking:

\displaystyle r=\frac{3\ gallons}{48\ min}

r = 0.0625 gal/min

The water is leaking at the rate of 0.0625 gal/min.

5 0
3 years ago
Can't figure out this problem can anyone help if so thank you
Virty [35]

Answer:

10th term of the sequence = 0.537

Step-by-step explanation:

First three terms of the sequence are → 5, 4, \frac{16}{5}..........

Ratio of 2nd and 1st term of the sequence = \frac{4}{5}

Ratio of 3rd and 2nd term of the sequence = \frac{\frac{16}{5} }{4}

                                                                        = \frac{4}{5}

Therefore, ratio between every successive term to the previous term is common.

Common ratio 'r' = \frac{4}{5}

First term of the sequence 'a' = 5

nth term of a geometric sequence = a(r)^n

Therefore, nth term of the given term will be  T_n=5(\frac{4}{5})^n

Now we have to find the 10 term of the given sequence.

For n = 10,

T_{10}=5(\frac{4}{5})^{10}

      = 0.53687

      ≈ 0.537

Therefore, 10th term of the sequence is 0.537

7 0
2 years ago
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