Correct answer; A right angle
<em><u>Convert to factored form is:</u></em>
<em><u>Solution:</u></em>
Given that,
We have to convert to factored form
Factored form means writing terms in multiplication. i.e as a product
From given,
Factor out x from above given expression
Here, the given equation is written as product of "x" and (x + 6)
Thus the factored form is found
For example a stands for the number of adult tickets, and s stands for the number of student tickets.
Write a system of equation based on the problem
An equation for "<span>A total of 679 tickets were sold for the school play"
</span>∴ a + s = 679 <em>(first equation)</em>
An equation for "<span>there were 71 fewer student tickets sold than adult tickets"
</span>∴ s = a - 71 <em>(second equation)</em>
<span>
Find the solution of the system
Subtitute s with a - 71 in the first equation to find the value of a
a + s = 679
a + a - 71 = 679
2a - 71 = 679
2a = 679 + 71
2a = 750
a = 750/2
a = 375
The number of adult tickets sold is 375</span>
Answer:
A (3, 1/2) B (-3/2, -7/4) C (7/5, 9/2)
Just a helpful tip for next time you need to graph something, you can look up "Graph Generator" and click on one of the first couple links and then you can put in your points. It makes it easier on the brain to be able to see and understand an accurate, and clean graph with the points on it.
Answers:
Choice C) 1.5 + AB = 3.7
AB = 2.2 cm
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Explanation:
Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.
The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.
Therefore, 1.5 + AB = 3.7 is one valid equation to set up.
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To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.
1.5 + AB = 3.7
AB = 3.7 - 1.5
AB = 2.2
Notice how,
1.5 + AB = 1.5 + 2.2 = 3.7
to help confirm our answer.
