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lesya [120]
3 years ago
14

What is the slope of the line

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

Slope is rise over run or the change in y over change in x. So to find the slope count the difference from one point to the next, for example (0,4) and (1,1). In this case, the y-value decreases by 3, so -3, and the x-value increases by 1, so +1. Which would be -3/1 or just -3. One way to visually check is to remember that slopes less than -1 or greater than 1 make the line steeper and negative slopes make the graph decrease from left to right.

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3 years ago
Find the x and y intercepts 5y + 3x = 15
Tomtit [17]
First, find the x-intercept.

The x-intercept will be at the point (x, 0) where x is any real number. If we substitute the x-coordinate and the y-coordinate for the x and y variables in the equation, we can solve for x.

5y + 3x = 15
5(0) + 3x = 15
3x + 15
x = 5

We found the x-intercept now find the y-intercept with the same process.

The y-intercept will be at the point (0, y) where y is any real number.

5y + 3x = 15
5y + 3(0) = 15
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So, the x-intercept is (5, 0) and the y-intercept is (0, 3)
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2 years ago
The vertex of the parabola is at the point (2,-5). which of the equations below could be the one for this parabola?
timofeeve [1]
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7 0
3 years ago
Read 2 more answers
If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
Readme [11.4K]

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

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2 years ago
A car dealership sold the following colors of cars in January.
sweet [91]
The answer is A. 28%
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