Answer:
18.027756
Step-by-step explanation:
Pythagorean Theorem
10²+15²=c²
100+225=c²
325=c²
√325=c
c=18.027756
Answer:

Step-by-step explanation:
Step One: Convert
49/16x^2-2=-0.05x+4
Step Two: Multiply Both Sides by 80
245x^2-160=-4x+320
Step Three: Move everything to the left
245x^2+4x-480=0
Final Step: Quadratic Formula

Answer:
f(x) = 6x² - 24x + 21
Step-by-step explanation:
The equation of a quadratic function in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 3 ) , then
f(x) = a(x - 2)² - 3
To find a substitute (1, 3 ) into the equation
3 = 1(1 - 2)² - 3
3 = a(- 1)² - 3
3 = a - 3 ( add 3 to both sides )
6 = a
f(x) = 6(x - 2)² - 3 ← in vertex form
= 6(x² - 4x + 4) - 3
= 6x² - 24x + 24 - 3
f(x) = 6x² - 24x + 21 ← in standard form
Answer:
2nd 3rd and last option
Step-by-step explanation:
2.
3.
6.
Answer:
8/38
Step-by-step explanation:
You got it right, trust yourself