Answer:
A) -4
B) 4 units apart
C) no values of x
Step-by-step explanation:
1) slope of m: (3-2)/(10-8) = ½
m(x) = ½x + c
2 = ½(8) + c
c = -2
m(x) = ½x - 2
m(16) = 6
h(4) = (4-2)²/2 = 4/2 = 2
h(4)-m(16) = 2-6 = -4
B) y-intercept of:
*h(x) = ½(0-2)² = 2
*m(x) = -2
from the equation found before
2 - (-2) = 4 units apart
C) m(x) = (x-4)/2
m(x) > h(x)
(x-4)/2 > ½(x-2)²
x-4 > x²-4x+4
x²-5x+8 < 0
(x - 2.5)² + 1.75 < 0
Never negative
Answer:
u = 12, v= 15
Step-by-step explanation:
Given the system of simultaneous equation:
1/6 u− 1/3 v=−3... (1)
0.2u+0.1v=3.9...(2)
Rewriting both equation as fraction
1/6 u− 1/3 v=−3
1/5 u + 1/10 v = 39/10
Multiplying equation (1) by 6 and (2) by 10 we have:
u - 2v = -18... (3)
2u + v = 39...(4)
Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:
2u-4v = -36 ...(5)
2u+v = 39...(6)
Subtracting (5) from (6);
-4v-v = -36-39
-5v = -75
v = -75/-5
v = 15
Substituting v = 15 into equation (3) to get u we have:
u - 2(15) = -18
u - 30 = -18
u = -18+30
u = 12
The solution to the system of simultaneous equation are u = 12 and v = 15
abcdefghijklmnopqrstuvwxyz
A triangle always adds up to 180 degrees:
Therefore, 48 + 6x + 9x-3 = 180
Solve for x:
180 - 45 = 15x
135 = 15x
x = 9 degrees
Answer:
no she couldnt have because 10 the fee and 2 the charge added up equals 12. 12 times 3 is 36, and she paid less than 36 dollars
Step-by-step explanation:
