Answer:
1. 15.4
2. 9.66
3. 13.16
4. 12.32
Step-by-step explanation:
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
- y = –x2 + 4x + 5
- y = x2 + 2x + 1
Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: brainly.com/question/16863577
Answer:
That is correct
Step-by-step explanation:
We need to write system of equations to solve this problem.
we have 3 unknown variables.
a,b,c which are shorter leg, longer leg and hypotenuse.
b = a+6
c+6 = 2*a
c^2 = a^2 + b^2
(2a - 6)^2 = a^2 + (a+6)^2
4a^2 - 24a + 36 = a^2 + a^2 + 12a + 36
2a^2 = 36a
a^2 = 18a
a = 18
b = 24
c = 30
