Answer:
<h2><em>
(3,6)</em></h2>
Step-by-step explanation:
Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:
M(X,Y) = ![(\dfrac{x_1+w}{2}, \dfrac{y_1+y}{2})](https://tex.z-dn.net/?f=%28%5Cdfrac%7Bx_1%2Bw%7D%7B2%7D%2C%20%20%5Cdfrac%7By_1%2By%7D%7B2%7D%29)
From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2
Substituting the given end points into the given formula to get the other end points, we will have;
![X = \dfrac{x_1+w}{2} \\2 = \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3](https://tex.z-dn.net/?f=X%20%3D%20%5Cdfrac%7Bx_1%2Bw%7D%7B2%7D%20%5C%5C2%20%3D%20%20%5Cdfrac%7B1%2Bw%7D%7B2%7D%20%5C%5Ccross%5C%20multiply%5C%5C4%20%3D%201%2Bw%5C%5Cw%20%3D%204-1%5C%5Cw%20%3D%203)
Similarly;
![Y = \dfrac{y_1+y}{2} \\2 = \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6](https://tex.z-dn.net/?f=Y%20%3D%20%5Cdfrac%7By_1%2By%7D%7B2%7D%20%5C%5C2%20%3D%20%20%5Cdfrac%7B-2%2By%7D%7B2%7D%20%5C%5Ccross%5C%20multiply%5C%5C4%20%3D%20-2%2By%5C%5Cy%20%3D%204%2B2%5C%5Cy%20%3D%206)
<em>Hence the other endpoint (w, y) is (3,6)</em>
(this is for fractions!!!!!!!!!!!!) 28/5 or 5 3/5
i think u just make it into 5.6/1 multiply by 10 which gets 56/10 and wala
but it's not simplified. 56 and 10 is divisible by 2 so u get 28/5 which is actually 5 3/5 (which is 5.6!!)
P(heads or tails) = 1 This is because when flipping a coin, there are only two possible answers, either heads ir tails so the probability of getting either one is 100%. However, if you're asking for P(heads) = 1/2, and P(tails)= 1/2.
Answer:
1. 6n - 15
2. x + 10
3. -4d + 15
4. true, associative property
5. distributive, commutative
Step-by-step explanation:
1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20
2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms
3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms
4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up
5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer
Answer:
The answer is 25/24 or 1.041
Step-by-step explanation:
Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.
6 x 4 = 24 and 8 x 3 = 24
Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.
5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24
After getting these values, you can then add them.
20/24 + 15/24 = 25/24 or 1.041