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Reptile [31]
3 years ago
13

Simplify completely.

" \sqrt{68} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0
\bf \sqrt{68}\qquad 
\begin{cases}
68=2\cdot 2\cdot 17\\
\qquad 2^2\cdot 17
\end{cases}\qquad \sqrt{2^2\cdot 17}\implies 2\sqrt{17}
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ANSWER QUICK!!! IM TAKING A TEST AND I WILL MARK BRAINLIEST!!!
gtnhenbr [62]

Answer:

C = 5Q

Step-by-step explanation:

C = Length of Cloth in Meters (C)

Q = Number of Quilts Made (Q)

C = 5Q

Change C for the numbers under (Length of Cloth in Meters (C))
Nad change Q for the numbers under (Number of Quilts Made (Q))

So the new equations would be:

0 = 5(0) --------->  0 = 0

5 = 5(1) ---------> 5 = 5

10 = 5(2) ---------> 10 = 10

15 = 5(3) ---------> 15 = 15

20 = 5(4) ---------> 20 = 20

25 = 5(5) ---------> 25 = 25

So the only option that amkes sense is (C = 5Q)

3 0
2 years ago
Refer to the diagram shown.
lions [1.4K]

Answer:

x=5

Step-by-step explanation:

According to SSS, RPS and RPQ should be similar angles. Since the length RP is the same, then RQP and RSP should be similar too. Therefore PRS and PRQ should be similar too. Since QP and RS are the same (7) then QR and PS needs to be same in length too.

2x+3 = 4x-7

10 = 2x

x=5

5 0
3 years ago
Read 2 more answers
Solving a decimal word problem using a linear equation of the for...
Sindrei [870]

Answer:

5 pounds of coffee

Step-by-step explanation:

Let the number of pounds of coffee bought be 'x'.

Given:

Value on gift card = $90

Value of coffee per pound = $8.09

Money left after buying coffee = $49.55

Now, using unitary method,

1 pound cost = $8.09

∴ 'x' pounds cost = 8.09x

Now, Money left = Total money on gift card - Cost of coffee.

49.55=90-8.09x\\\\8.09x=90-49.55\\\\8.09x=40.45\\\\x=\frac{40.45}{8.09}=5

Therefore, Lashonda bought 5 pounds of coffee.

6 0
2 years ago
Please help me on this
vovikov84 [41]
29. C 5ft
30. A 1yd 3in
31. D 2ft
32. B 48in
5 0
2 years ago
(2m2+10m+1) from (−8m2−8m+12)
m_a_m_a [10]

Answer:

4mfro• (2m2+10m+1)•(2m2+2m-3)

STEP

1

:

Equation at the end of step 1

0-((((((((2•(m2))+10m)+1)•f)•r)•o)•m)•(((0-23m2)-8m)+12))

STEP

2

:

Equation at the end of step

2

:

0-(((((((2m2+10m)+1)•f)•r)•o)•m)•(-8m2-8m+12))

STEP

3

:

Trying to factor by splitting the middle term

3.1 Factoring 2m2+10m+1

The first term is, 2m2 its coefficient is 2 .

The middle term is, +10m its coefficient is 10 .

The last term, "the constant", is +1

Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2

Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 10 .

-2 + -1 = -3

-1 + -2 = -3

1 + 2 = 3

2 + 1 = 3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

0-((((f•(2m2+10m+1)•r)•o)•m)•(-8m2-8m+12))

STEP

4

:

Equation at the end of step 4

0-(((fr•(2m2+10m+1)•o)•m)•(-8m2-8m+12))

STEP

5

:

Equation at the end of step 5

0-((fro•(2m2+10m+1)•m)•(-8m2-8m+12))

STEP

6

:

Equation at the end of step 6

0 - (mfro • (2m2 + 10m + 1) • (-8m2 - 8m + 12))

STEP

7

:

STEP

8

:

Pulling out like terms

8.1 Pull out like factors :

-8m2 - 8m + 12 = -4 • (2m2 + 2m - 3)

Trying to factor by splitting the middle term

8.2 Factoring 2m2 + 2m - 3

The first term is, 2m2 its coefficient is 2 .

The middle term is, +2m its coefficient is 2 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is 2 .

-6 + 1 = -5

-3 + 2 = -1

-2 + 3 = 1

-1 + 6 = 5

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

8

:

0 - -4mfro • (2m2 + 10m + 1) • (2m2 + 2m - 3)

STEP

9

:

Final result :

4mfro • (2m2 + 10m + 1) • (2m2 + 2m - 3)

5 0
3 years ago
Read 2 more answers
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