Step-by-step explanation:
<u>A number diminished by 6:</u>
<u>Sum of 5 and a number diminished by 6:</u>
<u>The square of the sum of five and a number diminished by 6:</u>
Answer:
- a) AB = 10 units
- b) Midpoint is (2, 6)
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<h3 /><h3>Given</h3>
- Points A( - 1, 10) and B(5, 2)
<h3>To find</h3>
- a) The length of AB
- b) The midpoint of AB
<h3>Solution</h3>
a) Use the distance formula:
Substitute the coordinates and calculate:
The distance is AB = 10 units
b) Use midpoint formula and find x and y- coordinates of this point:
and 
Substitute coordinates and find the midpoint:
and 
The midpoint is (2, 6)
Answer:
one solution: x = 5/7
Step-by-step explanation:
Eliminating parentheses, you have ...
3x -6 +7x = 3x -1
10x -6 = 3x -1 . . . . . collect terms
7x -6 = -1 . . . . . . . . . subtract 3x
7x = 5 . . . . . . . . . . . add 6
x = 5/7 . . . . . . . . . . divide by 7
_____
One way to answer a question like this is to subtract one side from the equation, so it is <something> = 0.
If the <something> is 0, there are infinite solutions.
If the <something> is a constant not zero, there are no solutions.
If the <something> is a linear expression with a variable in it, there will be one solution.
__
Doing that here gives ...
3(x -2) +7x -1/2(6x -2) = 0 . . subtract the right side
3x -6 +7x -3x +1 = 0 . . . . . . eliminate parens
7x -5 = 0 . . . . . . . . . . . . . . . . collect terms. There is one solution.
All we have to do is subtract 11 - 13 to get our answer.
Answer: A) z = -2.
Step-by-step explanation:
where n starts from 0.
so the answer is :
16+5=21,
25+7= 32
