Answer:
Step-by-step explanation:
a)
- 6ˣ = 1/216
- 6ˣ = 1/6³
- 6ˣ = 6⁻³
- x = -3
b)
- 5⁻³ × 2⁻¹ =
- 1/5³ × 1/2 =
- 1/(125×2) =
- 1/250 or 0.004
Answer:
PC = 12 units
AP = 10 units
Step-by-step explanation:
- The centroid of a triangle is the intersection of the three medians of the triangle
- Each median connecting a vertex with the midpoint of the opposite side
- The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex
In ΔACE
∵ P is the centroid of it
∴ P divides CF the ratio 2: 1 from C
∴ PC = 2 PF
∵ PF = 6 units
∴ PC = 2(6)
∴ PC = 12 units
∵ P divides AD at the ratio 2: 1 from A
→ That means AD = 2 + 1 = 3 parts, and AP =
AD
∴ AP =
AD
∵ AD = 15 units
∴ AP = AP =
(15)
∴ AP = 10 units
Answer:
B. y= -2x +2
Step-by-step explanation:
the slope is negative 2 and the point where the line crosses the y-int is 2
Answer:
Pretend the y-axis is a mirror
If the original shape is
P=4,-2
Z=5,-4
M=4,-4
The new image made by mirroring it will be
P’= -4,-2
Z’= -5,-4
M’= -4,-4
Step-by-step explanation:
Sorry if this doesn’t make sense, just graph P’, Z’, and M’ for a mirrored image
Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.