Answer:
Step-by-step explanation:
Equation:
2(a+9) = a/2
Solve:
The umber is:
-12
2*a + 2*9 = a/2
2a + 18 = a/2
2a - a/2 = -18
4a/2 - a/2 = -18
3a/2 = -18
a = -18*2/3
a = -12
Check:
2(-12+9) = -12/2
2(-3) = -12/2 = -6
< 40, 28, 72 >
Given
y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then
6y + 4z
= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >
Multiply each component by the scalar quantity
= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >
= < 12, 36, 48 > + < 28, - 8, 24 >
Add corresponding components
= < 12 + 28, 36 - 8, 48 + 24 >
= < 40, 28, 72 >
Answer: Car B traveled 60 mph.
A= B-15
A: (B - 15)(2 hr)=D
B: (B)(1.5)=D
Since B and A traveled the same distance you can plug in 1.5B for D.
2B - 30 = 1.5B
-1.5B +30 = -1.5B
——————+30—
2(0.5B) = 2(30)
B = 60 mph
1.35$
A 40
We can find angle K
J + K + L = 180 The angles of a triangle add to 180
50 + K + 90 =180
140 +K = 180
Subtract 140 from each side
140-140 + K = 180-140
K = 40
Since the triangles are congruent
J = P
K = N
L = M
We want to find N
K = N = 40
