Answer: y = -4x - 4
Step-by-step explanation:
Point slope form: y - y1 = m(x - x1)
Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.
First, find the slope. To find the slope, use this "formula" : ![slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D%20%3D%5Cfrac%7By1-y2%7D%7Bx2-x1%7D)
Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:
![\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4](https://tex.z-dn.net/?f=%5Cfrac%7B4--4%7D%7B-2-0%7D%20%3D%5Cfrac%7B4%2B4%7D%7B-2%7D%20%3D%5Cfrac%7B8%7D%7B-2%7D%3D-4)
Then, pick any point to plug into the equation. Let's use (0,-4)
Finally, plug everything into the equation:
y - - 4 = -4(x - 0)
y + 4 = -4x
y = -4x - 4
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
Answer:
3 units
Step-by-step explanation:
So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.
So we will need to find h(0)
- h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3
An <em>imaginary number</em>. The defining property of an imaginary number is that has the number i attached to it, where i² = -1.
A few examples of imaginary numbers: 3i, i, -7i, (√3)i, (1/2)i
The formula for volume of a prism is v=(1/2bh)h so it would be
(1/2 ×7.8×4)×9= 140.4