Two acute angles is the least amount.
The family needs 4 days to cover 1,400 miles
Answer:
$150
Step-by-step explanation:
5/(4+5) * 270 = 150
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
x = -10; x = 7
Step-by-step explanation:
|2x + 3| - 6 =11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = -a.
(1) 2x + 3 = 17 (2) 2x + 3 = -17
Subtract 3 from each side
2x = 14 2x = -20
Divide each side by 2
x = 7 x = -10
<em>Check:
</em>
(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1
1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
