Answer:B.x = 2
because 1 < x < 13 => x ≠ {0;14}
Step-by-step explanation:
Answer:
162√3.
Step-by-step explanation:
Area = 1/2 * p * q where p and q are the diagonals.
Here p = 2*9 = 18 and we need to find q.
tan 60 = 0.5q/9
0.5q = 9 tan 60 = 9*√3
q = 18√3
So the area of this rhombus
= 1/2 * 18*18√3
= 162√3
=
Answer:
12s² + 11st - 2t²
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis
= - 12s³ + 3st + 8st - 2t² ← collect like terms
= - 12s² + 11st - 2t²
Answer:
30 and 20 respectively
Step-by-step explanation:
Let the number of sofas to be built be s and the number of recliners be r.
For the time part, we have the following equation:
8s + 6r = 340
For the money part:
180s + 105r = 6750
Now let’s solve these equations simultaneously.
Let’s change the form of the second equation:
180s + 17.5(6r) = 6750
From the first equation, 6r = 340 - 8s
Insert this into the third equation
180s + 17.5(340-8s) = 6750
180s + 5950 - 140s = 6750
40s = 6750 - 5950
40s = 800
s = 20
Substitute the value into the first equation
8(20) + 6r = 340
6r + 160 = 340
6r = 180
r = 30
Answer:
x=2
Step-by-step explanation:
5(x-5)=3(x-7)
Distribute
5x-25 = 3x-21
subtract 3x from each side
5x-25-3x = 3x-21-3x
2x-25 = -21
Add 25 to each side
2x-25+25 = -21 +25
2x=4
Divide by 2
2x/2 =4/2
x=2
