Slope is rise over run or Y2 - Y1 divided X2 - X1. The X's and Y's are your coordinate points. It doesn't matter which Y you put down first but remember to choose the X in the same place. Your coordinate points are (0, -1) and (-4, 2)
Your equation will be:
-1 - 2 / 0 - (-4)
-3 / 0 + 4
-3 / 4
Your slope is negative 3/4
Answer:
A. 16.55
Step-by-step explanation:
What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.
21 * sin(38)
<em>sin(38) calculates to 0.615661475.</em>
21 * 0.615661475
<em>Multiply 21 by 0.615661475</em>
side a = 12.928890975
Now to find x. Use this to find x: √21² - 12.928890975²
√21² - 12.928890975²
<em>Square both numbers</em>
√441 - 167.156221843
<em>Subtract 167.156221843 from 441</em>
√273.843778157
<em>Find the square root of 273.843778157</em>
x ≈ 16.548225831
x ≈ 16.55, so the answer is A.
Answer:
Half a mile
Step-by-step explanation:
A mile is 1600 meters so half a mile is 800 meters
Answer:
f(x) = - 2 (x + 2)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, 6), thus
y = a(x - (- 2))² + 6, that is
y = a(x + 2)² + 6
To find a substitute the point (0, - 2) into the equation
- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )
- 8 = 4a ( divide both sides by 4 )
- 2 = a
f(x) = - 2(x + 2)² + 6 ← in vertex form
The perimeter of a rectangle is calculated by:

Remember: In a rectangle, opposite sides are equals.
If we know how much is the width, then it's just apply it to the expression:

Therefore, the length of the pool is 88m.