Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
Add those equations together
<span>1. 4x = 16, x = 4
2. Multiple the second one by 2
2x+4y=22
4x-4y=-16
6x = 6, x = 1
3. Add them together
8x = 24, x = 3
</span>
Answer:
Graph 1: 2/9, 2: 1/2 3: 1/5
Step-by-step explanation:
To find slope you do y2-y1/x2-x1 (rise over run). For graph 1, y2=2, y1=0. x2=9,x1=0. 2-0=2, 9-0=0, so the overall slope is 2/9
Answer:
no
Step-by-step explanation:
1 4/5 = 1 8/5 if you make a common denominator
With u = <-7, 6> and v = <-4, 17>, we have
u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>
We want to find a vector w such that
u + 3v + w = <1, 0>
Subtract u + 3v from both sides to get
w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>
w = <20, -57>
