X^2+20x+c find the value of c that makes a perfect square trinomial

Mathematics

1 answer:

ollegr [7]3 years ago

3 0

Answer:

This means c=100. The factored form is $(x+10)^2$ .

Step-by-step explanation:

A perfect square is a trinomial that factors into the form $(x+a)^2$ . To find the value of C to finish the perfect square divide 20 by 2 and square it.

20/2 = 10

10*10=100

This means c=100. The factored form is $(x+10)^2$ .

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OverLord2011 [107]

Answer:

Cheese: $4\frac{3}{8}$
Milk: $1\frac{2}{3}$
Pasta: $6\frac{1}{4}$

Step-by-step explanation:

Cheese:

$1\frac{3}{4} = \frac{7}{4}$
Set up a proportion: $\frac{\frac{7}{4} }{4} = \frac{x}{10}$
Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375
$4.375 = 4\frac{3}{8}$

Milk:

Set up a proportion: $\frac{\frac{2}{3} }{4} = \frac{x}{10}$
Cross multiply, then divide: 10 × 2/3 = $6\frac{2}{3}$ , $6\frac{2}{3}$ ÷ 4 = $1\frac{2}{3}$