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Ivanshal [37]
3 years ago
9

How do you know what to split 26 into ?

Mathematics
1 answer:
madam [21]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Assuming you are factoring the expression

Given

4y² + 26y + 30 ← factor out 2 from each term

= 2(2y² + 13y + 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.

product = 2 × 15 = 30 and sum = 13

the factors are 10 and 3

Use these factors to split the y- term

2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )

= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term

= (y + 5)(2y + 3)

Thus

4y² + 26y + 30

= 2(y + 5)(2y + 3)

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if venus is 30.9 mi farther from the sun than mercury, the the earth is 23.6 mi farther from the sun than venus. when the total
luda_lava [24]

Answer: The mercury is 38 mi far from sun.

Step-by-step explanation:

Let x denotes the distance ( in mi )between the Sun and Mercury .

Distance from Venus to Sun = x+30.9

Distance from Earth = x+30.9+ 23.6 =x+30.9+ 23.6 =x+54.5

When the total of the distances for these plants from the sun is 199.4 mi.

According to the given statements , we have

x+x+30.9+x+54.5=199.4

3x+85.4=199.4

3x=199.4-85.4=114

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Hence, the mercury is 38 mi far from sun.

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Step-by-step explanation:

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