Step-by-step explanation:
You have to use logarithms.
1) a = log_3 (1/27) = -log_3 (27) = -3
2) b = log_3 (9 * 3^(1/2)) = log_3 (3 ^ {5/2}) = 5/2
3) c = -log_3 (sqrt3) = -1/2
Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
Answer:
Step-by-step explanation:
The equations are not independent. They represent the same graph.
There are an infinite number of solutions.
Hello!
2(x + 9) = 4(x + 7) + 2
Distribute the 2
2x + 18 = 4(x + 7) + 2
Distribute the 4
2x + 18 = 4x + 28 + 2
Combine like terms
2x + 18 = 4x + 30
Subtract 18 from both sides
2x = 4x + 12
Subtract 4x from both sides
-2x = 12
Divide both sides by -2
x = -6
Where she did something different than me is her mistake
Hope this helps!