Answer:
The third one.
Step-by-step explanation:
8x(5+2) is also 7x8 so you'd get 56. The 8x5 is 40 then you can do 40+(8x2) which is 40+16 which is = to 56. So the third one is equivalent to each other.
Answer:
1 solution
Step-by-step explanation:
y = 1/2x + 4
x + 2y = -8
Solve the second equation for y.
2y = -x - 8
y = -1/2x - 4
The two equations in slope-intercept form are:
y = 1/2x + 4
y = -1/2x - 4
The system consists of two lines with different slopes, so they intercept at a single point which is the solution.
Answer: 1 solution
Answer:
-3 and -8
Step-by-step explanation:
Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.
If a+b=-11, a=-11-b.
ab=-24
(-11-b)b=-24
b²+11b+24=0
(b+3)(b+8)=0
b=-3, b=-8
a=-11-b=-11+3=-8
a=-11-b=-11+8=-3
So the numbers are -3 and -8
8 * (4a^(3) + 1)
Step-by-step explanation:
Factor out 8 from the expression.
8 * 4a^(3) + 8 * 1 = 8 * (4a^(3) + 1)
Answer:
Step-by-step explanation:
If θ is the angle between two vectors u and v, then cosθ = (u·v) / [llull llvll]
u·v = (8)(9) + (7)(7) = 121
llull = √[(8)2 + (9)2] = √145 llvll = √[(7)2+(7)2] = 7√2
So, cosθ = 121/ [7√290]
= 1.015052094
θ = Cos-1(1.015052094) ≈ 3.3