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ss7ja [257]
3 years ago
6

Matt and his dad are building a tree house. They buy enough flooring material to cover an area of 36 square feet. What are all p

ossible dimensions of the floor?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

a square

Step-by-step explanation:

because the width would be 6 and the length would be also 6 .6x6 is 36

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
Joseph needed $125 to buy a new pair of jordan's. His neighbor will pay him $6 per hour to walk his dog and his mother gave him
AveGali [126]

Answer: 14⅝ hiurs

Step-by-step explanation:

Based on the information given in the question, we can form an equation which will be:

8 + 6h = 125

where, h = number of hours

6h = 125 - 8

6h = 117

h = 117/8

h = 14 ⅝hours

Therefore, minimum amount of hours he will need to walk the dog in order for him to buy a new pair of Jordans is 14⅝ hours.

4 0
3 years ago
What is 1 2/3 multiplied by 4 1/2
horrorfan [7]
Change the mixed numbers into improper fractions:
5/3 X 9/2

Reduce - the 3 and 9 can be simplified
5/1 X 3/2

multiple numerators and denominators
15/2

Not sure how you need the answer - i would change it into a mixed number
7 1/2
3 0
3 years ago
A researcher asks participants to estimate the calories they consume in a meal. The researcher records the following estimates:
aleksley [76]

Answer:

Increase

Step-by-step explanation:

The researcher records the following estimates: 450, 426, 310, 500, and 220.

The mean of these estimates is derived below.

Mean = (450+426+310+500+220)/5

=1906/5=381.2

If the researcher removes the estimate of 220.

The mean of the other numbers will be:

Mean =(450+426+310+500)/4

=1686/4=421.5

By comparison of the two mean, we can see that the value of the mean will increase.

3 0
3 years ago
Which of the following is the smallest set? Becareful of spelling. Real numbers, Rational Numbers, Irrational numbers or Natural
sattari [20]
Real because it’s 12345678910
6 0
3 years ago
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