Answer:
(-5/2, 3/2)
Step-by-step explanation:
[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)
Example :
u have an endpoint at (6,5)......ad the midpoint is (4,2)....find the other endpoint.
midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
one endpoint (6,5)....x1 = 6 and y1 = 5
other endpoint (x,y)...x2 = x and y2 = y
sub into the formula
m = (6 + x) / 2, (5 + y) / 2
okay, so the midpoint is (4,2)....so ur x value will equal 4
(6 + x) / 2 = 4...multiply both sides by 2
6 + x = 4 * 2
6 + x = 8
x = 8 - 6
x = 2 <==
midpoint is (4,2)....so the y value will equal 2
(5 + y) / 2 = 2 ...multiply both sides by 2
5 + y = 2 * 2
5 + y = 4
y = 4 - 5
y = -1 <==
so ur other endpoints are (2,-1)
Answer:
Step-by-step explanation:
<u>Given system:</u>
- 2x - y = - 2
- 15x - 2y = - 7
<u>Solve by elimination, multiply the first equation by - 2 and add up the equations:</u>
- -2(2x - y) + 15x - 2y = - 2(- 2) - 7
- -4x + 2y + 15x - 2y = 4 - 7
- 11x = - 3
- x = - 3/11
<u>Find the value of y:</u>
- 2( - 3/11) - y = - 2
- -6/11 - y = - 2
- y = 2 - 6/11
- y = 1/11
<u>Solution is:</u>
- <em>None of the answer choices is matching this solution. Something must be wrong with the given equations.</em>
Step-by-step explanation:
- (x²y)(x³y⁴)
- x²y×x³y⁴
- x²×x³×y×y⁴
- x^2+3×y^1+4
- x⁵×y⁵
- x⁵y⁵
Answer:
5/6 books
Step-by-step explanation:
We know that Mark read 2 1/2 books last week. This week, he read a bit more with 3 1/3 books.
To find how many more books he read, we must subtract 2 1/2 from 3 1/3:
3 1/3 - 2 1/2
Let's convert these into improper fractions first:
3 1/3 = (3 * 3 + 1) / 3 = 10/3
2 1/2 = (2 * 2 + 1) / 2 = 5/2
Now, we have:
10/3 - 5/2
In order to subtract these, we must find a common denominator. For 2 and 3, the LCM is 6, so we can use that as our common denominator:
10/3 * 2/2 = 20/6
5/2 * 3/3 = 15/6
Finally, we have:
20/6 - 15/6 = (20 - 15) / 6 = 5/6 books
