The midpoint of a segment divides the segment into equal halves
The other endpoint is 1- 5i
<h3>How to determine the missing endpoint </h3>
The coordinates are given as:
Point 1: 7 + i
Midpoint: 3 - 2i
Represent the other endpoint with x.
So, we have:
2 * Midpoint = Point 1 + x
This gives
Collect like terms
Evaluate the like terms
Hence, the other endpoint is 1- 5i
Read more about midpoints ta:
brainly.com/question/9635025
Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
Answer: H = 8 cm
Step-by-step explanation: Since a triangle's area is b times h/2, we know that two times 48 is 96, therefore we can opposite the equation so 12 is the base times the height (8 cm) is 96 divided by 2, there's your answer.
Answer:
2/36 or 1/18 simplified
Step-by-step explanation:
you have all the combinations listed which is good.
probability = number of successful events / number of total events
- look for the sums that are 11 and count them (there are 2 - 5,6 and 6,5).
- total the number of all events (36)
- so you then get the 2/36
there are
We are given D (7, -3) and D'(2, 5).
SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5
Answer: D (x-5, y+8) → D'
