Answer:
a = - 1
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Then the x-coordinate of the vertex is
•
= - 
The line of symmetry passes through the parabola, hence x-coordinate is 4
y = ax² + 8x - 3 is in standard form
with a = a, b = 8 and c = - 3, hence
-
= 4 ( multiply both sides by 2a
- 8 = 8a ( divide both sides by 8 )
a = - 1
Answer:
15 sheep
Step-by-step explanation:
1 leg = 1 foot
1 head = 1 animal
Suppose all the animals are chickens:
50 × 2 = 100
130 - 100 = 30
4 - 2 = 2
30 ÷ 2 = 15
Hence, there are 15 sheep.
Selections B and D both appear to be appropriate.
B) (x+8)² + (y+5)² = 13
D) (x+8)² + (y+5)² = 13
_____
The center is at the midpoint of the diameter, ((-10-6)/2, (-8-2)/2) = (-8, -5). For center (h, k) and radius r, the equation is
(x -h)² +(y -k)² = r²
(x -(-8))² +(y -(-5))² = (√13)²
(x+8)² + (y+5)² = 13
Answer:
x = -3
Step-by-step explanation:
15 - 2x = -7x
add 2x
15 = -5x
divide by -5
-3 = x
The numbers that are called in multiplication are called factors. Multiplying factors together will create a product.