Answer:
vw= 22
Step-by-step explanation:
To find the dot product of vw, multiply the corresponding numbers and add them.
v= <3, -8, -3> w= <-4, -2, -6>
vw= (3*-4)+(-8*-2)+(-3*-6)
vw= -12+16+18
vw= 4+18
vw= 22
One and eighty five. 1x85=85 but 85 isnt prime>>>
2(a+3) + 3(2a-1)
First, let's use the distributive property to expand 2(a+3):
2(a+3) = 2*a + 2*3 = 2a + 6
Let's use the distributive property now to expand 3(2a-1):
3(2a - 1) = 3*2a - 3*1 = 6a - 3
So 2(a+3) + 3(2a-1) = 2a + 6 + 6a - 3
Now you calculate variables between each others, and numbers between each others:
2a + 6 + 6a - 3 = 2a + 6a + 6 - 3 = 8a + 3
So the simplified form of 2(a+3) + 3(2a-1) is 8a + 3.
Hope this Helps! :)
Answer:
5/8 of a cup
Step-by-step explanation:
What you do is you add 1/2 and 3/4 together.
1/2+3/4=5/4.
Noel used half of 5/4 so you would multiply it by 1/2
5/4*1/2=5/8 is your answer.
Answer:
y = -7/5x
Step-by-step explanation:
First, we need to use the two points to find the slope.
m = y₁ - y₂ / x₁ - x₂
m = -7 - 0 / 5 - 0
m = -7/5
Now we know that the slope is -7/5. Now we'll substitute the information we've gathered into the point-slope form equation to get an equation.
y - y₁ = m(x - x₁)
y - (-7) = -7/5(x - 5)
y + 7 = -7/5x + 7
y = -7/5x
Therefore, the equation of the line is y = -7/5x.
