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faust18 [17]
3 years ago
12

Select the correct answer from each drop-down menu. Factor the trinomial. The factors of m2 + 12m + 35 are ( ) and ( ).

Mathematics
2 answers:
Maru [420]3 years ago
4 0

Answer:

(m+5)(m+7)

Step-by-step explanation:

Factor the trinomial. The factors of m^2 + 12m + 35

In the given trinomial , the product is 35 and sum is 12

LEts find out two factors whose product is 35 and sum is 12

7 times 5 is 35

7 plus 5 is 12

Break the middle term using factors 7 and 5

m^2 + 12m + 35

m^2 + 7m+5m + 35

Group first two terms and last two terms

(m^2 + 7m)+(5m + 35)

Take out GCF from each group

m(m+7)+5(m + 7)

FActor out m+7

(m+5)(m+7)

lina2011 [118]3 years ago
3 0

m^2 + 12m + 35

We can factor using the sum-product, when the sum of 2 numbers is 12 and the product of those 2 numbers is 35.

7+5 = 12

7 x 5 = 35

So we have the numbers 7 and 5.

m^2 + 12m + 35 = (m+7)(m+5)

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1.2 cm   =   ?  cm

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3 0
3 years ago
Cos 0 = 12/13. Find sin 0.<br> A. 5/12<br> B. 12/5<br> C. 13/12<br> D. 5/13
andreyandreev [35.5K]

Answer:

Sine θ = 5/13

Step-by-step explanation:

From the question given above, the following data were obtained:

Cos θ = 12/13

Sine θ =?

Next, we shall determine the opposite. This can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/13

Adjacent = 12

Hypothenus = 13

Opposite =?

Hypothenus² = Opposite² + Adjacent²

13² = Opposite² + 12²

169 = Opposite² + 144

Collect like terms

169 – 144 = Opposite²

25 = Opposite²

Take the square root of both side

Opposite = √25

Opposite = 5

Finally, we shall determine the Sine θ. This can be obtained as follow:

Opposite = 5

Hypothenus = 13

Sine θ =.?

Sine θ = Opposite / Hypothenus

Sine θ = 5/13

8 0
3 years ago
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant prod
-Dominant- [34]

Answer:

Step-by-step explanation:

Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces

When we consider this graph as a straight line, the two points lying on the line would be

(30, 30) and (34, 28) taking n as horizontal and y vertical

Using two point equation we find that

the equation of the line is

\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}

Substitute the points as x =n

\frac{y-30}{28-30} =\frac{x-30}{34-30}\\y-30 = -0.5(x-30)\\y = -0.5x+45

is the linear relationship between n and y

7 0
3 years ago
Luke bought 256256256 ounces of strawberries. He divided them evenly between 888 different pies. How many pounds of strawberries
SIZIF [17.4K]

Answer:

2 pounds.

Step-by-step explanation:

We have been given that Luke bought 256 ounces of strawberries. He divided them evenly between 8 different pies. We are asked to find the pounds of strawberries that Luke put on each pie.

First of all, we will convert 256 ounces into pounds.

We know that 1 pound equals 16 ounces. To convert 256 ounces into pounds, we need to divide 256 by 16.

\text{256 ounces}=\frac{256}{16}\text{ pounds}=16\text{ pounds}

Now we will divide 16 pounds by 8 to find number of strawberries put on each pie.

\text{Pounds of strawberries on each pie}=\frac{16}{8}

\text{Pounds of strawberries on each pie}=2

Therefore, Luke put 2 pounds strawberries on each pie.

4 0
3 years ago
Pleade help and show work​
Jet001 [13]

9514 1404 393

Answer:

  11) x = 9

  12) x = 9

Step-by-step explanation:

11) Corresponding segments are proportional, so ...

  x/6 = 12/8

  x = 6(12)/8 . . . multiply by 6

  x = 9

__

12) Similar triangle relationships show you the geometric mean relationship that applies in this case.

  long side/short side = x/3 = 27/x

  x² = 3·27 . . . . . . cross multiply

  x = √(3·27) . . . . geometric mean relationship

  x = 9

8 0
3 years ago
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