Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
Answer:
9√3
Step-by-step explanation:
√(81*3)
√81*√3
9√3
The mistake is in step 3:
I: −2m =−12 − 2n
II: 2m = 8 + 8n
the student set both right sides of the equations equal (−12 − 2n = 8 + 8n), but the left sides aren't equal: first equation has -2m, second has +2m so the signs of one of the equations must be inverted first
Answer:
76%
Step-by-step explanation:
First do 700 - 168 which is 532
Next we see that 700 is 100% in this scenario
Then we will use the value we seek as ‘x’
So, x% = 532
We can put the two equations, 100%/x% = 700/532
they both have LHS
We can take the inverse from both sides yields
Therefore, the answer is 76%
Area=(Theta/2) * r^2 This should be it, obviously Theta is your angle and you should use radiants in theory.