Simply plug in the value of x.
f(x) = -x² + 4x + 12
f(3) = -(3²) + 4(3) + 12 = -9 + 12 + 12 = -9 + 24 = 15
f(4) = -(4²) + 4(4) + 12 = -16 + 16 + 12 = 0 + 12 = 12
f(5) = -(5²) + 4(5) + 12 = -25 + 20 + 12 = -25 + 32 = 7
f(6) = -(6²) + 4(6) + 12 = -36 + 24 + 12 = -36 + 36 = 0
g(x) = x + 8
g(3) = 3 + 8 = 11
g(4) = 4 + 8 = 12
g(5) = 5 + 8 = 13
g(6) = 6 + 8 = 14
f(x) = g(x) when x = 4.
f(4) = g(4)
12 = 12
From the above expression we get,
=》x + y = 7 - [1]
=》3x - 2y = 11 - [2]
now, let's solve :
multiplying [1] by 3
=》3x + 3y = 21
=》 3x - 2y = 11
subtracting
now, subtracting [2] from [1]
=》3x + 3y - 3x + 2y = 21 - 11
=》5y = 10
=》y = 2
now, plugging the value of y as 2 in equation [1]
=》x + y = 7
=》x + 2 = 7
=》x = 5
So, value of :
Answer:
1. b=28 m
2. c=34 m
3. Yes
4. No
5. Yes
6. Yes
7. Yes
8. 6.7
9. 7.1
10. 7.1
11. The Pythagorean Theorem can be used to tell the distance between two points, which can be useful when building or traveling.
Step-by-step explanation:
The Pythagorean Theorem is just a^2+b^2=c^2
Answer:
36
Step-by-step explanation: 6 x 6 = 32
Squared means multiplying the number by itself.
Answer:
C
Step-by-step explanation: