Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= - 
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= -
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)
When the triangle is a right triangle, you can use the Pythagorean theorem. The formula would be
c^2 = a^2 + b^2
If a = 21 and c=29, thus
b^2 = c^2 - a^2
b^2 = 29^2 - 21^2
b^2 = 400
b = square root (400)
b = 20 units.
Thus, the answer is <span>D) B = 400</span>
32 homes. divide 96 by 3 because the 96 homes each took 3 kittens
Answer:
15 liters = 15.85035 quarts
Step-by-step explanation:
1 liter = 1.05669 quarts
15 liters = 1.05669*15