Answer:
Hello,
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2( )x + - - 5
y = (x + )² - -
y = (x + )² -
Hence
a = and b = -
4 1/5 + B = 9 3/5
21/5 + B = 48/5
B = 27/5
B = 5 2/5
Letter C is the correct answer!
Hope this helps! ;)
Answer:
Height of fir tree = 9 meters
height of pine tree= 12 meters
Step-by-step explanation:
The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree
Subtract x from both sides
height of 4 fir trees = pine tree +24
Substitute 21-x or y in the above equation
Add x on both sides
Divide by 5 on both sides
x=9
Now plug in 9 for x and find out y
y=12
Height of fir tree = 9 meters
height of pine tree= 12 meters
3^2+x^2=8^2
9+x^2=64
x^2 = 64-9=55
The answer is B