Answer:
Length of the line segment with endpoints (11,−4) and (−12,−4) is 23 units
Step-by-step explanation:
Given:
Endpoints are (11,−4) and (−12,−4)
To Find:
The length of the line = ?
Solution:
The length of the line can be found by using the distance formula
Here
= 11
= -12
= -4
= -4
Substituting the values
Length of the line
=>
=>
=>
=>
=>23
All you have to do is substitute the y value from the 1st equation into the second equation and solve...
a) y= 2-x
5x + 4y = 5
Substitute (2-x) into the second equation anywhere there is a y...
5x + 4y = 5
5x + 4(2-x) = 5
Now solve
5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3
Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...
y = 2 - x
y = 2 - (-3)
y = 2+3 = 5
You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).
Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...
y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5
True statement... it checks!
note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.
Answer:
60
Step-by-step explanation:
Form on number to the other there is a difference,and the difference are all odd numbers
From 100 to 93 is 7
From 98 to 84 is 9
From 84 to 73 is 11
From 73 to 45 is 28 this shows that there is a number missing
So from 73 to x should be 13
And from x to 45 should be 15
So 73 -13=60
And 60-15=45
So x is 60
1.9+2.2= 4.1
1.9•2.2= 4.18
4.18-4.1= .08
Answer:
13 y^2 - 13 y + 11
Step-by-step explanation:
Simplify the following:
15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7
Grouping like terms, 15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7 = (15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4):
(15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4)
15 y^2 - 2 y^2 = 13 y^2:
13 y^2 + (-15 y + 2 y) + (7 + 4)
2 y - 15 y = -13 y:
13 y^2 + -13 y + (7 + 4)
7 + 4 = 11:
Answer: 13 y^2 - 13 y + 11
