Answer:
-169
Step-by-step explanation:
We want to isolate v.
Method 1: subtract 40 from both sides, obtaining 169 = -v. Then change the sign of both sides, arriving at v = -169.
Method 2: Add v to both sides. Then v + 209 = 40.
Now subtract 209 from both sides, obtaining -169.
Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6
4 x 8 x 6 x 4 x 26 = 19,968
i think however, i could be wrong. my teacher told me to use the fundamental counting principle. you multiply each different part of the problem.
Answer:
a) 9 is in the ones place.
b) 9 is in the tens place.
The formula of the dot product of two vectors:
We have:
![\overrightarrow{a}=[1,\ -4,\ 1]\\\\\overrightarrow{b}=[0,\ 3,\ -3]](https://tex.z-dn.net/?f=%20%5Coverrightarrow%7Ba%7D%3D%5B1%2C%5C%20-4%2C%5C%201%5D%5C%5C%5C%5C%5Coverrightarrow%7Bb%7D%3D%5B0%2C%5C%203%2C%5C%20-3%5D%20)
Calculate the dot product:
Calculate the lengths of vectors:
Substitute:
Answer: Measure of the angle between the vectors a and b is equal 146°.
