Answer:
- -5, -18
- -5x -18x
- (x -3)(6x -5)
Step-by-step explanation:
a) The factors of 90 are ...
90 = (-1)(-90) = (-2)(-45) = (-3)(-30) = (-5)(-18) = (-6)(-15) = (-9)(-10)
The sums of these factors are -91, -47, -33, -23, -21, -19.
The factor pair with the sum of -23 is of interest here. Those factors are ...
-5, -18
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b) -23x = -5x -18x
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c) The rewritten expression is ...
6x^2 -5x -18x +15
(6x^2 -5x) -(18x -15) . . . . group into pairs
x(6x -5) -3(6x -5) . . . . . . .factor each pair
(x -3)(6x -5) . . . . . . . . . . factor out the common factor (6x -5)
Answer:
B. One solution.
Step-by-step explanation:
The solution is the point where the lines intersect.
Answer:
D. X=-2+sqrt(3) or -2-sqrt(3)
Step-by-step explanation:
Quadratic Equation given:
In order to get rid of the fractions, multiply both sides by 4.
We get:
Completing the square:
Answer:
The answer to your question is:
Step-by-step explanation:
Q1. They are vertical angles, so they measure the same
[2(x + 10)] = (3x - 30)
2x + 20 = 3x -30
2x - 3x = -30 - 20
- x = - 50
x = 50
Q2. They are also vertical angles, so they measure the same.
[6(x - 2)] = 3x + 30
6x - 12 = 3x + 30
6x - 3x = 30 + 12
3x = 42
x = 42/3
x = 14
∠DHG = 6(14 - 2)
∠DHG = 6(12)
∠DHG = 72
Start with the relationship
1 liter = 1000 mL
and multiply it by 1.5 to get
1.5 liter = 1500 mL
The appropriate choice is
(B) 1,500 mL
