Answer:
Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.
Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)
Answer:
SA = 904 in.²
Step-by-step explanation:
Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)
SA = 2(lw) + 2(wh) + 2(hl)
- l = 36 in.
- w = 10 in.
- h = 2 in.
Substitute the given values and multiply:
SA = 2(lw) + 2(wh) + 2(hl)
SA = 2(36)(10) + 2(10)(2) + 2(2)(36)
SA = 2(360) + 2(20) + 2(72)
SA = 720 + 40 + 144
SA = 904 in.²
Hope this helps!
