Answer:
Step-by-step explanation:
Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.
We need to find the dot product a · b.
The formula of dot product is
where, θ is the angle between a and b.
Substitute the given values in the above formula.
![[\because \cos (\pi-\theta)=-\cos \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%28%5Cpi-%5Ctheta%29%3D-%5Ccos%20%5Ctheta%5D)
Rationalize the above equation.
Therefore, the value of a · b is .
Answer:
10
Take 10 and add it 5 times
Step-by-step explanation:
5 divided by 50 is 10
Let’s do 3x - 8 ≤ 23 first.
You need to rearrange this so that x is on its own.
+8 to both sides
3x ≤ 31
/3 on both sides
x ≤ 31/3
Then the second, -4x + 26 ≥ 6
-26 from both sides
-4x ≥ -20
/-4 on both sides
x ≥ 5
So x is greater than or equal to 5, which can also be written as 5 ≤ x
And for the first one, x is less than or equal to 31/3, which can still be written as x ≤ 31/3, so your final answer is:
5 ≤ x ≤ 31/3
Cos(B) = adjacent / hypotenuse
Cos(B) = 11/27
Cos(B) = 0.4074
B = Cos-1(0.4074)
Put this into your calculator like this.
2nd function Cos-1
(
0.4074
=
65.96 <<<<<< answer
Answer:
4. y = 1/2x + 3/2
Step-by-step explanation:
First, we need to change the line that's parallel into slope-intercept form.
-2x + 4y = 8
4y = 2x + 8
y = 1/2x + 2
If it's parallel, then it remains the same. So our slope is 1/2.
To find the y-intercept, you need to plug the coordinates into the equation.
y = 1/2x + b
-1 = 1/2(-5) + b
-1 = -5/2 + b
3/2 = b
y = 1/2x + 3/2
