Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (5, 2), thus
y = a(x - 5)² + 2
To find a substitute (4, - 3) into the equation
- 3 = a + 2 ⇒ a = - 3 - 2 = - 5
y = - 5(x - 5)² + 2 ← in vertex form
Expand (x - 5)² and distribute by - 5
y = - 5(x² - 10x + 25) + 2
= - 5x² + 50x - 125 + 2
= - 5x² + 50x - 123 ← in standard form
Answer:
f(3)= 33
Step-by-step explanation:
hello :
f(x) =8x+9
put x = 3 you have : f(3) =8(3)+9 = 24 + 9 =33
<u>Answer:</u>
10y + 2
<u>Step-by-step explanation:</u>
The formula for the perimeter of a rectangle or square is [length + length + width + width = perimeter or 2(length) + 2(width) = perimeter]
Our length here is y + 2. Either formula you use, [(y+2) + (y+2) or 2(y+2)] you should get the answer 2y + 4.
Next our width. The width is 4y-1. Either formula you use, [(4y-1) + (4y-1) or 2(4y-1)] you should get 8y - 2.
Then, simply add (2y+4) and (8y-2) to get 10y + 2. So, the perimeter of the garden is 10y + 2.
I hope this helps!
Answer:
30°
Step-by-step explanation:
Let the measure of the missing angle be x°
Therefore, by interior angle sum postulate of a triangle:
x + 60° + 90° = 180°
x + 150° = 180°
x = 180° - 150°
x = 30°
Thus the measure of the missing angle is 30°.
