From the given triangle, midpoint of AB = ((-2 + 3)/2, (0 + 6)/2) = (1/2, 3) and the midpoint of BC = ((3 + 8)/2, (6 + 0)/2) = (11/2, 3)
Length of the line segment joining points (1/2, 3) and (11/2, 3) is given by
l = sqrt[(11/2 - 1/2)^2 + (3 - 3)^2] = sqrt(5^2) = 5.
Therefore, option A is the correct answer.
First, look if y is greater or less than on the graph. Y is less than the line so the sign will be a less than symbol ≤.
Second, look at the slope. The slope is going up 4 and right 1 so the slope is 4.
Therefore, your answer is C. y ≤ 4x + 2
Complete Question
Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.
Answer:
<em>Inequality: </em>70 + 0.05x < 80
<em>Solution: </em>x < 200
Step-by-step explanation:
Let x represents the minimum number of SMS.
If 1 SMS is charged at $0.05, then x SMS would be charged at $0.05x
Considering that she pays a flat rate of $70.
The inequality to represent the minimum number of SMS she needs to send is:
70 + 0.05x < 80
To solve this inequality, follow the following steps
Collect like terms
0.05x < 80 - 70
0.05x < 10
Divide through by 0.05
0.05x/0.05 < 10/0.05
x < 10/0.05
x < 200
The solution to the inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00 is x < 200.
Answer:
7x−14
Step-by-step explanation:
Factor 3(x+2)+4(x−5)
7x−14
=7(x−2)
Answer:
7(x−2)
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