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barxatty [35]
3 years ago
15

Last year a farmer dug

Mathematics
1 answer:
butalik [34]3 years ago
5 0
<h3>Answer:  935 tons</h3>

Explanation:

We'll add the last two values to get the amount dug this year.

2786+2862 = 5648

So the farmer dug 5648 tons of potatoes this year.

Subtract that result from the first value given

6583 - 5648 = 935

The farmer dug 935 more tons last year compared to this year.

In other words, the amount has dropped by 935 tons when going from last year to this year.  

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What is the length of the hypotenuse for a right triangle with legs of length 6 and 8?
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You’re setting up a zip line in your yard you map out your yard in a coordinate plane and equation of the line representing the
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Need Answer Immediately!!!!!
Fiesta28 [93]
<h2>Answer:</h2>

y = \frac{-5}{4}x + 3

<h2>Step-by-step explanation:</h2>

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c <em>or            </em>-------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope <em>m</em> given by;

m = \frac{y_2 - y_1}{x_2-x_1}

m = \frac{-2-3}{4-0}

m = \frac{-5}{4}

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = \frac{-5}{4} into equation (ii) as follows;

y - 3 = \frac{-5}{4}(x - 0)

(iv) Solve for y from (iii)

y - 3 = \frac{-5}{4}x

y = \frac{-5}{4}x + 3 [This is the slope intercept form of the line]

Where the slope is \frac{-5}{4} and the intercept is 3

8 0
3 years ago
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