Plug in -2 for a, 3 for b, and -5 for c. Then it'd be | (-3)^2 - 2(-2)(-5) +5 (3) |. Then, multiply everything to get | 9 -20 +15 |. Then, add/subtract to get | 4 |. Finally, take the absolute value and get 4.
1. You can expand the coefficients to yield 6, and add the powers since the bases are the same (ie A)
2. y⁻² can also be rewritten as 1/y², so it becomes 1/y² · 1/y⁵ = 1/y⁷ (ie C)
3. Only the x is affected by the power.
4. y = 3·5ˣ doesn't change in slope, so it essentially is similar to a 5ˣ graph.
5. Should be pretty straight forward.
6. Should be pretty straight forward.
7. Should be pretty straight forward.
8. Since x is the length of the border, calculate the area of the frame and subtract that from the area of the square painting. (Remember that the length of the square painting is x - 8, not x - 4)
9. Should be pretty straight forward.
11 - 25 are pretty much similar to each other.
If you have trouble, let me know and I'll walk you through it.
Answer:
34 units
Step-by-step explanation:
Since the triangles are equal, the bottom length of triangle CAD will be the same as the bottom length of BAD. This means that the total length of the bottom of triangle ABC is 6 (3 + 3).
Next, you need to find the length of AC and again, since they're the same triangle, AB will be the same as AC, 14.
The three side lengths of the triangle will be 6, 14, and 14, so the perimeter is
6 + 14 + 14 = 34 units
Answer:
Step-by-step explanation:
Hmmmmm you did not give the full equation for the original line.
However, parallel lines have identical slopes. Whatever coefficient (m) is associated with the x value, will be the slope of the parallel line when the equation is put in the form
y = mx + b