Answer:
r = {-8, -4}
Step-by-step explanation:
Simplifying
r2 = -32 + -12r
Solving
r2 = -32 + -12r
Solving for variable 'r'.
Reorder the terms:
32 + 12r + r2 = -32 + -12r + 32 + 12r
Reorder the terms:
32 + 12r + r2 = -32 + 32 + -12r + 12r
Combine like terms: -32 + 32 = 0
32 + 12r + r2 = 0 + -12r + 12r
32 + 12r + r2 = -12r + 12r
Combine like terms: -12r + 12r = 0
32 + 12r + r2 = 0
Factor a trinomial.
(8 + r)(4 + r) = 0
Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve:
Simplifying
8 + r = 0
Solving
8 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8
Combine like terms: 8 + -8 = 0
0 + r = 0 + -8
r = 0 + -8
Combine like terms: 0 + -8 = -8
r = -8
Simplifying
r = -8
Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve:
Simplifying
4 + r = 0
Solving
4 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4
Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4
Combine like terms: 0 + -4 = -4
r = -4
Simplifying
r = -4
Solution
r = {-8, -4}
13/16= 0.8125
Hope this helps!
Answer:
Number 3
Step-by-step explanation:
The reason this is so is because he is looking for the amount of peaches he can buy. The equation that is number one represents that because it say 3.18 + 1.19p ≤ 10.00 showing that he wants an amount of peaches that costs less than 10.00. 1.19p standing for the amount of peaches and 3.18 representing the pomegranates.
Answer:
D. QR.
Step-by-step explanation:
1) in ΔQRS the side QR is opposite the angle S (47°); QS is opposite the angle R (70°); RS is opposite the angle Q (63°);
2) the rule is: greater angle is opposite the longer side;
3) according to the rule the angle 'S' is the smallest, then the side QR is the shortest.
