Answer:
x = -2
Step-by-step explanation:
Pull out like factors :
-3x - 6 = -3 • (x + 2)
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
Answer:
Step-by-step explanation:
- Diagonals of a rhombus are perpendicular.
- Sides are of equal length.
<u>Use Pythagorean to work out the side length.</u>
- a² = (d₁/2)² + (d₂/2)²
- a² = (24/2)² + (45/2)² = 650.25
- a = √650.25
- a = 25.5 cm
<u>The perimeter is:</u>
- P = 4a
- P = 4*25.5 = 102 cm
Answer:
Here's the answer
Step-by-step explanation:
Dividing the number by 1000
Yes because 5/22 is 4 2/5 and that equals .4
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}