Answer:

Step-by-step explanation:
I am solving this using Function Notation.
We are given:

While we are to find:

In Function Notation, replace all the "
" you see with the value you are given.
So, in this case,

Would become

Now we can solve.

Use PEMDAS; Parenthesis first;

Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with


Therefore, the value of x is -5
One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100
Notice the equation has the opposite of h and k and 100 is the result of squaring 10.
Answer:
0.00000763
Step-by-step explanation:
7 accounts for 1 place
6 - 1 = 5, therefore 5 0s after the decimal point
Answer:
15°
brainlest
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°.