Answer:
Step-by-step explanation:
(4+1)/(8-2)= 5/6
y + 1 = 5/6(x - 2)
y + 1 = 5/6x - 5/3
y + 3/3 = 5/6x - 5/3
y = 5/6x - 8/3
6(y = 5/6x - 8/3)
6y = 5x - 16
-5x + 6y = -16
9514 1404 393
Answer:
B. 39°, 106°, 43°
Step-by-step explanation:
The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.
(3x +1) +(11x -4) +(5x -7) = 180
19x -10 = 180 . . . . . collect terms
19x = 190 . . . . . . . . add 10
x = 10 . . . . . . . . . . . divide by 19
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Then the three angle measures are ...
- 3·10 +1 = 31
- 11·10 -4 = 106
- 5·10 -7 = 43
The appropriate choice is ...
B. 31°, 106°, 43°
The answer is (x + 6)(5x - 1).
5x² + 29x - 6 = 5x² + 30x - x - 6 =
= (5x · x + 5x · 6) - (x + 6) =
= 5x(x + 6) - 1(x + 6) =
= (x + 6)(5x - 1)
(2x^2 + 4x + 6) - (-3x - 5x^2 + 4)
The negative sign separating the expressions is just multiplying the rightmost expression by -1.
(2x^2 + 4x + 6) + (3x + 5x^2 - 4)
Now, let's add together terms that share the same variable.
2x^2 + 5x^2 = 7x^2
4x + 3x = 7x
6 + (-4) = 2
Let's combine each of these terms into one expression.
7x^2 + 7x + 2 is the final answer.
