4x+7 would be your answer
Answer: 1.5
Step-by-step explanation:
From the attached graph:
D = (0, 4)
F = (3, 2)
After segment DF was dilated from the origin to create segment D'F'
D' = (0, 6)
F' = (4.5, 3)
Scale factor is obtained by calculating the proportion of the coordinates of the two segments. That is ;
Scale factor = value on dilated coordinate / value on original coordinate
Taking the x-coordinate of F and F':
Scale factor = coordinate 'x' of F' / coordinate 'x' of F
Scale factor = 4.5 / 3 = 1.5
Similarly,
Taking the y-coordinate of F and F':
Scale factor = coordinate 'y' of F' / coordinate 'y' of F
Scale factor = 3 / 2 = 1.5
Answer:
the zero of a function is the value of x which makes the final value zero
First Equation:
So let 25 - 2x equal to 0
<em>25 - 2x = 0</em>
x = 12.5
Second Equation:
Let 2x² - 11x - 6 equal to zero
<em>2x² - 11x - 6 = 0 </em>
<em>2x² - 12x + x - 6 = 0 </em><em>(Splitting the middle term)</em>
<em>2x(x - 6) + 1(x - 6) = 0</em>
<em>(2x + 1) (x - 6) = 0</em>
So we can transpose either one of the brackets below the zero
(2x + 1) = 0 or (x-6) = 0
x = -1/2 or x = 6
x² + 10x = 26
x² + 10x + 25 = 26 + 25
x² + 5x + 5x + 25 = 51
x(x) + x(5) + 5(x) + 5(5) = 51
x(x + 5) + 5(x + 5) = 51
(x + 5)(x + 5) = 51
(x + 5)² = 51
x + 5 = ±√(51)
- 5 - 5
x = -5 ± √(51)
x = -5 + √(51) or x = -5 - √(51)