There's more than one way to combine them really
but an obvious one will be
![\bf \begin{array}{llll} h(x)&=&(f\circ g)(x)\\\\ &&\sqrt[3]{7x+1}\\\\ &&\sqrt[3]{g(x)}\leftarrow \begin{array}{llll} f(x)=\sqrt[3]{x }\\\\ g(x)=7x+1 \end{array} \end{array}\\\\ -----------------------------\\\\ (f\circ g)(x)\iff f[\quad g(x)\quad ]=\sqrt[3]{g(x)}\implies f[\quad g(x)\quad ]=\sqrt[3]{7x+1}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bllll%7D%0Ah%28x%29%26%3D%26%28f%5Ccirc%20g%29%28x%29%5C%5C%5C%5C%0A%26%26%5Csqrt%5B3%5D%7B7x%2B1%7D%5C%5C%5C%5C%0A%26%26%5Csqrt%5B3%5D%7Bg%28x%29%7D%5Cleftarrow%20%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Af%28x%29%3D%5Csqrt%5B3%5D%7Bx%20%7D%5C%5C%5C%5C%0Ag%28x%29%3D7x%2B1%0A%5Cend%7Barray%7D%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%28f%5Ccirc%20g%29%28x%29%5Ciff%20f%5B%5Cquad%20g%28x%29%5Cquad%20%5D%3D%5Csqrt%5B3%5D%7Bg%28x%29%7D%5Cimplies%20%20f%5B%5Cquad%20g%28x%29%5Cquad%20%5D%3D%5Csqrt%5B3%5D%7B7x%2B1%7D)
Answer:
Step-by-step explanation:
Answer:
(x-1)²+(y-3.5)² = 265/4
Step-by-step explanation:
first find the midpoint (center of the circle)
(9+-7)/2, (2+5)/2
(1, 3.5) = center
then distance formula to find diameter
√(9- -7)²+(2-5)²=√256+9 = √265
The radius is half the diameter = (√265)/2
Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center
Now you can plug everything in.
(x-1)²+(y-3.5)² = 265/4
Answer:
Part a) <1=72°
Part b) <2=108°
Part c) <3=72°
Part d) <4=108°
Step-by-step explanation:
step 1
Find the measure of angle 1
we know that
<1+108°=180° -----> by supplementary angles
so
<1=180°-108°=72°
step 2
Find the measure angle 2
we know that
<2=108° -----> by corresponding angles
step 3
Find the measure angle 3
we know that
<3=<1-----> by corresponding angles
so
<3=72°
step 4
Find the measure angle 4
we know that
<4=108° -----> by alternate exterior angles
$18 (if each shirt costs the same, 54/3 = 18)
