Answer:
Step-by-step explanation:
2)infinetly many solutions
beacuse y=8x-2 and y-8x=-2 are the same thing without any limitation
1: Perimeter
2:Dimensions
3:scale
Answer:
x = -1
Step-by-step explanation:
<u>Step 1: Distribute</u>
-5(x + 2) = -(-5x + 1) - x
-5x - 10 = 5x - 1 - x
<em>-5x - 10 = 4x - 1</em>
<em />
<u>Step 2: Solve for x</u>
-5x - 10 + 5x = 4x - 1 + 5x
-10 + 1 = 9x - 1 + 1
-9 / 9 = 9x / 9
<em>-1 = x</em>
<em />
Answer: x = -1
Hello!
-6(3x - 2/3)
Distribute the -6
-18x + 4
The answer is D) -18x + 4
Hope this helps!
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
