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Rina8888 [55]
3 years ago
7

What constant do you need to add to each quadratic to complete the square?

Mathematics
1 answer:
babunello [35]3 years ago
6 0

Answer:

1. 4

2. 16

3. 9

Step-by-step explanation:

Completing the square requires a quadratic in ax^2+bx=c form. Once in this form, calculate (\frac{b}{2})^2.

1. (\frac{b}{2})^2=(\frac{-4}{2})^2=4

2. (\frac{b}{2})^2=(\frac{-8}{2})^2=16

3. Requires you divide everything by 3 first.

\frac{3x^2+18x}{3} =\frac{249}{3} \\x^2+6x=81

(\frac{b}{2})^2=(\frac{6}{2})^2=9

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Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multip
defon

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

4\text{ quarts}=1\text{ gallon}

1\text{ quarts}=\dfrac{1}{4}\text{ gallon}

6\text{ quarts}=\dfrac{6}{4}\text{ gallon}

Here, 6 quarts is equal to \dfrac{6}{4} gallon. It means we need to multiply 6 by 4 in 4\text{ quarts}=1\text{ gallon} to find the answer.

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3 years ago
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Sindrei [870]
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3 years ago
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Diano4ka-milaya [45]

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Step-by-step explanation:

8 0
3 years ago
Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

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2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

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3 years ago
What is the surface area of the square pyramid? 30 m 18 m ות 36​
gayaneshka [121]

Answer:

the answer is 5100 im pretty sure.

Step-by-step explanation:

yes

4 0
2 years ago
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