Answer:
ABOVE the x-axis
Step-by-step explanation:
Please use "^" to denote exponentiation: y = x^2 + 2x + 3
To find the vertex, we must complete the square of y = x^2 + 2x + 3, so that we have an equivalent equation in the form f(x) = (x - h)^2 + k.
Starting with y = x^2 + 2x + 3,
we identify the coefficient of x (which is 2), take half of that (which gives
us 1), add 1 and then subtract 1, between "2x" and "3":
y = x^2 + 2x + 1 - 1 + 3
Now rewrite x^2 + 2x + 1 as (x + 1)^2:
y = (x + 1)^2 - 1 + 3, or y = (x + 1)^2 + 2. Comparing this to f(x) = (x - h)^2 + k, we see that h = 1 and k = 2. This tells us that the vertex of this parabola is at (h, k): (1, 2), which is ABOVE the x-axis.
Answer:
29.135
Step-by-step explanation:
Answer:
The total area is 300 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 24*10 = 240
Then find the area of the triangle on the top
A = 1/2 bh
The base is 24 and the height is 15-10 = 5
A = 1/2 (24)*5 = 60
Add them together
240+60 = 300
The total area is 300 ft^2
Answer:
P____Q____R
PR= PQ+ QR
(14x-13) = (5x-2)+(6x+1)
14x-13= 11x – 1
14x – 11x = 13–1
3x = 12
x= 12/ 3
x= 4
PR= 14x – 13 = 14 (4) – 13 = 18 – 13= 5
If you want (PQ , QR ) this is the solution
PQ =5x-2=5(4)-2=20-2=18
QR =6x+1=6(4)+1=24+1=25
I hope I helped you^_^
Answer:
Step-by-step explanation:
SAS = side- angle- side
It requires two sides and the included angle be congruent.
Given one congruent side and one congruent adjacent angle.
<u>In addition to what is given we need the other side be congruent too:</u>
