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Setler [38]
3 years ago
14

Find an equation for the line with slope m=6/5 and which goes through the point (15,8)

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

The answer is

<h2>y =  \frac{6}{5} x - 10</h2>

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

<h3>y -  y_{1} = m(x -  x_{1})</h3>

where

m is the slope

( x1 , y1) is the point

From the question the point is (15,8) and the slope is 6/5

Substitute the values into the above formula and solve

That's

<h3>y - 8  =  \frac{6}{5} (x - 15) \\ y - 8 =  \frac{6}{5} x - 18 \\ y =  \frac{6}{5} x - 18 + 8</h3>

We have the final answer as

<h3>y =  \frac{6}{5} x - 10</h3>

Hope this helps you

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8 0
3 years ago
Given that (2,8) is on the graph of f(x),find the corresponding point for the function -3/4 f(x)
yuradex [85]

Answer:

Corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )

Explanation:

 When a graph f(x) is multiplied by a factor k, the points on the graph also changes by (kx, ky).

Here it is given that (2,8) is on the graph of f(x)

Now we need to find corresponding point to (2,8) along -3/4 f(x)

x - coordinate = \frac{-3*2}{4} =-1.5

y - coordinate = \frac{-3*8}{4} =-6

So corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )

8 0
3 years ago
Last year, 31 2 acres of strawberry fields produced approximately 14,700 pounds of strawberries. This year the number of acres p
USPshnik [31]

So in 5 acres of land produces 21,000 pounds of strawberries.

Step-by-step explanation:

Step 1:

Last year, 3\frac{1}{2} acres i.e 3.5 acres produced 14,700 pounds of strawberries. So we need to determine how many strawberries were produced per acre.

To do this we divide the total number of strawberries produced by the number of acres it was produced in.

The number of strawberries produced per acre= \frac{14,700}{3.5} = 4,200 pounds.

Step 2:

To determine the number of strawberries in 5 acres of land, we multiply the number of strawberries per acre by the number of acres.

The number of strawberries produced in 5 acres= 5(4,200) = 21,000 pounds.

So in 5 acres of land produces 21,000 pounds of strawberries.

5 0
3 years ago
One of the plants in Jorge's garden grows at the rate of 2 Inches in 3 months. A second plant grows at the rate of 3 inches in 2
Molodets [167]
The second plant would because it grew one more inch in one less month (that's faster) than the other plant.
3 0
3 years ago
Compute: (1 2/5 +3.5÷1 1/4 )÷2 2/5 +3.4÷2 1 /8 −0.35
nikdorinn [45]

Answer:

Answer: 3

Step-by-step explanation:

Use BODMAS

<u>Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )</u>

<em>Convert mixed fractions into improper fractions</em>

7/5 + 3.5 ÷ 5/4

<em>Divide 3.5 by 5/4</em>

7/5 + 2.8 = 4.2

<u>Step 2: Carry out all divisions</u>

<em>Convert mixed fraction into improper fractions</em>

4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35

4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35

1.75 + 1.6 - 0.35

<u>Step 3: Solve</u>

1.75 + 1.6 - 0.35

3.35 - 0.35

Answer = 3

4 0
3 years ago
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