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motikmotik
3 years ago
13

Use a special-product rule to factor the perfect-square trinomial. 81y^2+ 126y + 49

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

Answer:

The perfect -square trinomial

                  (9y+7)²

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given polynomial equation

                        81 y² + 126 y +49

               ⇒     9² y² + 2(9)(7)y + 7²

                ⇒   (9y)² + 2(9)(7)y +7²

we will use formula

   (a+b)² = a² + 2ab +b²

             ⇒ (9y+7)²

<u><em>Final answer:-</em></u>

The perfect -square trinomial

                  (9y+7)²

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List of 412 multiples of seven
Arlecino [84]

7,14,21,28,35,42,49,56,63,70,77,84


8 0
3 years ago
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Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of
Tom [10]

Question:

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.

\frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}

Which is Abel’s error?

Abel should have written the ratio as 24 metres/7 metres

Abel should have written the ratio as 24 metres/42 metres

Abel should have divided both numbers by 6.

Abel should have divided both numbers by 4.

Answer:

Abel should have divided both numbers by 6.

Step-by-step explanation:

Given

Measured Length of backyard = 42m

Actual Length of backyard = 24m

Measured Ratio: \frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}

Required

Error in calculation of measured ratio

From Abel's calculation:

It can be observed that He divided both numbers by 7

Though 42/7 = 6 but that's not so for 24/7

24/7≠4;

Instead 24/7 = 3.43 (Approximated)

To get the actual ration, he has to divide both numbers by the highest common factor

The common factors of 42 and 24 include 2,3,6 of which the highest is 6

Hence; HCF of 42 and 24 = 6

So, we can conclude that the error in his calculation is having not dividing both numbers by 6

7 0
4 years ago
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Find the area of the shape shown below.
mina [271]

Answer:

28 square units

Step-by-step explanation:

8 0
3 years ago
Can the sum of two mixed numbers be equal to 2? Explain why or why not.
Serga [27]
No, because 1 is not a mixed and there is not another pair of nubers that equal 2 in mixed numbers.
6 0
3 years ago
Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her
CaHeK987 [17]

Answer:

number of hours = 3 hours

Step-by-step explanation:

Let

x = number of hours

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Silver Fox = 1,100 + 200x

To solve the equation, equate both cost of rent

Casa Lucia = Silver Fox

200 + 500x = 1,100 + 200x

200 - 1,100 = 200x - 500x

-900 = - 300x

x = -900 / -300

x = 3 hours

number of hours = 3 hours

The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.

It means both locations cost the same if rented for 3 hours each

3 0
3 years ago
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