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jolli1 [7]
3 years ago
5

How do I "complete the square"? (Algebra)

Mathematics
1 answer:
AysviL [449]3 years ago
6 0
It deoends on the type of problem. here ate two examples.

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Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?
ikadub [295]

In order to solve this problem, we transform the statements into algebraic expressions. First, we assign the variables.

 

Let:

x = Gina’s number

y = Sara’s number

 

For the first equation, we show that Gina’s number is greater than Sara’s number by 2. For the second equation, we show that the sum of both numbers is 68.

<span>(1)  </span>x – y = 2

<span>(2)  </span>x + y = 68

 

<span>We add the two expressions, which result in the expression: 2x = 70. Then we divide 70 by 2 to get the value of x. We then have x = 35. Using the second equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s number is 35 while Sara’s number is 33.</span>
8 0
3 years ago
Read 2 more answers
Tiffany is 140 miles away from Maggie. They are traveling towards each other. If Maggie travels 5 mph faster than Tiffany and th
8090 [49]

Answer: Tiffany 15mph, Maggie 20mph

Step-by-step explanation:

Set up the equation 4((x+5) + x) = 140. x+5 represents how many miles Maggie covered in one hour. x represents how much Tiffany traveled in one hour. 140 is the number of miles in total. 4 is the number of hours in total.

Simplify the equation.

(x+5) + x = 35    Divide both sides by 4

2x+5 = 35         Combine like terms

2x = 30              Subtract 5 from both sides

x = 15                 Divide both sides by 2

Tiffany traveled 15mph, while Maggie traveled 15+5=20mph.

3 0
2 years ago
6x+5x-8=-41 what property is this ?
Allisa [31]

Standard form

6x+5x-8 =-41

Is in standard form

6 0
3 years ago
How many qt are in a gallon
egoroff_w [7]
4 quarts in a gallon
8 0
3 years ago
Read 2 more answers
I need help with homework!<br> Please help
Elenna [48]

Answer:

E. >

F. =

G. <

H. >

I. <

J. <

Hope this helped ;^)

7 0
3 years ago
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