9514 1404 393
Answer:
(a) QP and SR
Step-by-step explanation:
The congruent central angles intercept congruent arcs QP and SR. Chords of congruent arcs are congruent.
chords QP and SR are congruent
Answer:
a) The independent variable is r, the radius. You can use any allowable number for r. The dependent variable is V, the volume. Once you choose a value for r, the value of V will depend on that value of r.
b) The domain is all real numbers greater than 0. A radius cannot be zero or a negative number.
c) The output of V(8) is the function V(r) evaluated at r = 8, so it is the volume of a sphere of radius 8 units.
Answer: x = {-4, 5}
<u>Step-by-step explanation:</u>
log (10x + 200) = log (x²) + log (10)
log (10x + 200) = log (10x²)
10x + 200 = 10x²
0 = 10x² - 10x - 200
0 = x² - x - 20
0 = (x - 5)(x + 4)
0 = x - 5 0 = x + 4
x = 5 x = -4
Check for extraneous solutions:
10x + 200 > 0 x² > 0
x = 5 10(5) + 200 > 0 (5)² > 0 both are satisfied
x = -4 10(-4) + 200 > 0 (-4)² > 0 both are satisfied
Both solutions are valid!
. Lisa's dog has 4 squeaky toys
. the squeaky toys are 2/3 of all the dog's toys
. let <em>x</em> be number of all dog toys
<em>make an equation</em>
(2/3)<em>x</em> = 4 <em>← solve</em>
x=6
<em>check</em>
2/3 × 6 = 4
<u>Lisa's Dog has 6 toys in all</u>
5x-2+x-3+x-3 = 34
7x-8 = 34
7x/7 = 42/7
x = 6
