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3 years ago

Multiplying binomials (×+2) (×-9)

Mathematics

1 answer:

musickatia [10]3 years ago

7 0

Answer:

x² -7x -18

Step-by-step explanation:

In algebra, a binomial consists solely of a sum or subtraction of two monomials.

To solve the multiplication of two binomials we have to multiply term by term and then simplify common terms.

(x + 2)(x - 9) = x(x) + x(-9) +2(x) + 2(-9) = x² -9x + 2x -18 = x² -7x - 18

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D
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3 years ago

The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marc

ohaa [14]

Answer:

62 inches

Step-by-step explanation:

Let x be the height ( in inches ) of Ivan,

∵ Marcia is 5 inches shorter than Ivan,

height of Marcia = x - 5,

Marcia is twice as tall as Sally-Jo,

height of sally-jo = $\frac{x-5}{2}$

Mom is 2 inches taller than Ivan.

⇒ height of mom = x + 2,

Mom is 3 inches shorter than Dad,

height of dad = x + 2 + 3 = x + 5,

So, mean height of family is,

$\frac{x+x-5+\frac{x-5}{2}+x+2+x+5}{5}$

$=\frac{2x+2x-10+x-5+2x+4+2x+10}{10}$

$=\frac{9x-1}{10}$

According to the question,

x + 5 = 74 ( 1 ft = 12 in )

x = 69

Hence, mean height of the family = $\frac{9\times 69-1}{10}$

$=\frac{620}{10}$

= 62 inches

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3 years ago