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3 years ago

Write an equation in point-slope form and slope-intercept form for each line.

1 answer:

Crank3 years ago

7 0

Point slope formula is y-y1=m(x-x1)
The slope is -3. So you just plug in what you know which is the (x1,y1). So the point slope form is y+1=-3(x-4).
The slope intercept form is y=mx+b. So you plug in the m,x, and y to solve for b. B is 11. So the slope intercept form is y=-3x+11.

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Identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sa

Anvisha [2.4K]

Answer:

HEHE

Step-by-step explanation:

5 0

3 years ago

the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle

goldenfox [79]

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

5 0

3 years ago

About 26% of all bicycles in the United States have off-road tires. Juan surveys a random sample of bicycles from two towns. Com

Nesterboy [21]

According to the information provided by the graph, it can be inferred that in town A there is a lower percentage (20%) than the national percentage of bicycles with off-road wheels, while in town B the percentage is higher (45%).

<h3>How to calculate the percentage of bicycles with off road wheels in each town?</h3>

To calculate the percentage of bicycles with off-road wheels in each town, we must perform the following mathematical operation.

First we must add the number of bicycles of each type to know the total number of bicycles in the town:

Town A: 3 + 12 = 15 bikes
Town B: 9 + 11 = 20 bikes

Now we must calculate what percentage is equivalent to 3 bicycles with off-road wheels from town A and what percentage is equivalent to 9 bicycles with off-road wheels from town B.

15 ÷ 100 = 0.15

0.15 × 20 = 3

So, 3 bicycles with off-road wheels from town A are equivalent to 20% of the total number of bicycles.

20 ÷ 100 = 0.2
0.2 × 45% = 9

Then the 9 bicycles with off-road wheels in town B are equivalent to 45% of the total number of bicycles.

According to the above, 20% of the bicycles in town A have off-road wheels, while 45% of the bicycles in town B have off-road wheels.

Note: This question is incomplete because there are some missing information. Here is the missing information.

Learn more about percentage in: brainly.com/question/8011401

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2 years ago

Expressions equivalent to -4(x-9)

lisov135 [29]

-4x +36 I am pretty sure

3 0

3 years ago

The size of a small ant is about 0.002 meters, which can be written as 2 x 10"

Nesterboy [21]

Answer:

Step-by-step explanation:

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6 0

3 years ago

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