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jasenka [17]
2 years ago
12

The square below has an area of 1+ 2x + x² square meters.

Mathematics
1 answer:
Brums [2.3K]2 years ago
7 0

Answer:

1 + x  meters.

Step-by-step explanation:

A square has 4 equal sides so each side will have a length equal to the square root of the area.

Side length = √(1 + 2x + x^2)

                   = √(1 + x)(1 + x)

                   = 1 + x.

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If the quadratic functions for the equations are graphed, which is the widest?
alexandr402 [8]

Answer:

  D)  y = 1/4 x^2

Step-by-step explanation:

For these functions, the leading coefficient can be considered to be either ...

  the vertical scale factor (larger ⇒ narrower)

  the square of the inverse of the horizontal scale factor.

In the latter case, the horizontal scale factor will be larger (wider) when its inverse and the square of its inverse are smaller.

Either way, you're looking for the smallest leading coefficient: 1/4.

8 0
3 years ago
Kevin asked his trainee, Anna, to help call some of his clients to sell a newly-issued municipal bond. If he had to call all of
weqwewe [10]

Answer:

3.6 hours

Step-by-step explanation:

To solve, create a Rate, Time, Work chart:

Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.

The work is 1 job of calling all clients, so their combined work is equal to 1.  

x over 6 plus x over 9 equals 1

In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together.  With rational equations, the terms can be added together once they have common denominators.  

x over 6 plus x over 9 equals 1

fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction

fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54

9 x plus 6 x equals 54

15 x equals 54

x equals 3.6

If Kevin and Anna work together, they can call all the clients in 3.6 hours.

7 0
3 years ago
Gary is 8 years older than his brother. Six years ago Gary was three times as old as his brother. How old are they now?
Yuliya22 [10]

Answer:Gary-18 years brother-10 years

Step-by-step explanation:1st case: brother=1 yrs,gary=3 yrs=>after 6 after: brother =7 yrs gary=9 years

2nd case:......

3rd case:.....

4th case:brother:4 years gary:12 yrs=>after 6 yrs:brother=10 yrs gary=18 yrs=>18-10=8

8 0
3 years ago
Shawna, Ryan, and Dominic ate a whole pizza. Shawna ate 1
mafiozo [28]

Answer:

\frac{1}{6}

Step-by-step explanation:

You need to add the amount Shawna & Ryan ate together, then subtract it from 1 to find the amount of pizza that was left for Dominic to eat.

\frac{1}{3} + \frac{1}{2} = ?

Make all the denominators the same to add fractions.

\frac{1}{3}  is \frac{2}{6}

\frac{1}{2}  is \frac{3}{6}

\frac{2}{6} +  \frac{3}{6} = \frac{5}{6}

1 -  \frac{5}{6} = \frac{1}{6}

4 0
2 years ago
Sylvester wants his hand to have a sum of -1. Click on three cards that Sylvester could choose. . -9 , 5 , -7, 1 , 4 , -2 , 3​
irina1246 [14]
5,3 and -9 equal -1..
8 0
3 years ago
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