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valkas [14]
3 years ago
12

Find the slope of the line through the points (3,2) (8,6).

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (8, 6)

m = \frac{6-2}{8-3} = \frac{4}{5} → B

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Please help. I don’t understand how to do this
Rasek [7]

Greetings from Brasil...

Let's apply the given formula:

A = (1/2)·B·H

The base of this polygon (in this case, the triangle) is B

B = X² - 2X + 6

The height of this polygon is H and is H

H = X + 4

Applying these values (B and H) in the given formula.....

A = (1/2)·B·H

A = (1/2)·(X² - 2X + 6)·(X + 4)

A = (1/2)·(X³ + 2X² - 2X + 24)

A = (X³/2) + X² - X + 12

OR

A = (X³ + 2X² - 2X + 24)/2

4 0
2 years ago
Read 2 more answers
17/21 ÷ 3 4/7 what us the estimated answer and steps to divide and find the answer
r-ruslan [8.4K]
Convert 3 4/7 into an improper fraction: 25/7
17/21 divided by 25/7

Dividing by a fraction is the same as multiplying by it's reciprocal.
17/21*7/25

Simplify:
17/3*1/25

Multiply across:
17/75
7 0
2 years ago
Mrs. Smith is making cookies. Her recipe calls for 6/8 cup of white sugar and 2/4 cup of brown sugar. How much sugar will Mrs. S
wariber [46]

Answer:

10/8 or 1 and 2/8

Step-by-step explanation:

You can convert 2/4 into 4/8 then all you have to do from there is just add to get 10/8.

Hope I could help! :)

8 0
2 years ago
Use the rules of negative numbers to calculate -6 + -6 - -2
yaroslaw [1]
-6+ -6- -2
Adding a negative is the same as subtracting a positive.
-6 - 6 - -2
Subtracting a negative is the same as adding a positive.
-6 - 6 + 2
Subtracting a number from a negative number is like adding the positive numbers, just remember to put the negative sign in front of the number.
-12 + 2
Adding a positive number to a negative number is like subtracting a positive from another positive, but don't forget the negative sign when you're done.
-12 +2 = -10

4 0
3 years ago
Read 2 more answers
Ingrid makes quilts in designs that follow a specific pattern. The first three designs are shown. In designs, the white blocks r
Gekata [30.6K]

The number of white and grey blocks in the quilts follows a sequence given by the Design number of the quilt

The numbers and patterns of the blocks are;

a. Patterns;

  • The height of the white blocks is the Design number, while the rows are one more than the design number
  • The height of the outer grey blocks is 2 blocks more than the Design number, while their rows are 3 blocks more than the Design number

b. The function is \underline{p(n) = n \cdot (n + 1)}

c. The function is \underline{b(n) = (n + 2) \cdot (n + 3) -  n \cdot (n + 1)}}

d.  \underline{t(n) = (n + 2) \cdot (n + 3)  = b(n) - p(n) }

e. The design chosen is <u>Design 9</u>

The number of blocks is <u>132 blocks</u>

Reasons:

The pattern of the design are;

a. The column height of the grey blocks = 2 blocks more than the column height of the white blocks

Width of the outer grey blocks = 2 blocks more than the width of the inner white blocks

The number of white blocks in a design, <em>n</em> is the product of <em>n</em> and (n + 1)

The number of grey blocks in a design <em>n</em>, is the product of (n + 2) and (n + 3) less the number of white blocks in the design

b. Based on the above, the function that represent the number of picture blocks in Design <em>n</em>, is therefore;

  • p(n) = n·(n + 1)

c. Based on the above, the function that represent the number of border blocks in Design <em>n</em>, is therefore;

  • b(n) = (n + 2)·(n + 3) - n·(n + 1)

d. The total number of blocks, t(n) = (n + 2)·(n + 3)

t(n) = (n + 2)·(n + 3) - n·(n + 1) + n·(n + 1)

  • t(n) = p(n) + b(n)

e. The given number of picture blocks = 90

The number of picture blocks in a design, n = n × (n + 1)

Therefore, given that the number of picture blocks is 90, we have;

90 = n × (n + 1)

n² + n - 90 = 0

(n + 10)·(n - 9) = 0

n = 9, or n = -10

Therefore, the design museum chooses is <u>Design 9</u>

The total number of blocks in a quilt design, t(n) = (n + 2)·(n + 3)

Total blocks in the design the art museum choses, t(9), is given as follows;

t(9) = (9 + 2)·(9 + 3) = <u>132 blocks</u>

<u />

Learn more about series here;

brainly.com/question/13151093

4 0
2 years ago
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