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Naily [24]
3 years ago
13

Find the area of the shaded region.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
Keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.

\bf \stackrel{\textit{area of the larger rectangle}}{(2x+2)(3x-4)}~~-~~\stackrel{\textit{area of the smaller rectangle}}{(x-3)(x-6)}
\\\\\\
\stackrel{FOIL}{6x^2-2x-8}~~~~-\stackrel{FOIL}{(x^2-9x+18)}\implies 6x^2-2x-8-x^2+9x-18
\\\\\\
5x^2+7x-26
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A plumber charges a flat fee of $76 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour
prisoha [69]

Answer:

(a) 12 hours

(b) $220

Step-by-step explanation:

(a) First we plug in $364 for C

C=76+24h

364=76+24h

Subtract 76 from both sides

24h=288

Divide both sides by 24

h=12

She spent 12 hours fixing the drain

(b) First we plug 6 hours in for h

C=76+24(6)

Multiply it out

C=76+144

Add

C=220

It costs $220 for fixing a drain that takes 6 hours

5 0
2 years ago
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maks197457 [2]
What you must do in this case is to find the roots of the polynomial.
 We have then:
 x ^ 2 + 20x + 100 = 36
 Rewriting:
 x ^ 2 + 20x + 64 = 0
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 x1 = -4
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 Remember that the values of the roots are what make the polinome zero
 Answer:
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3 0
2 years ago
2. The hundredths model is shaded to represent a division
solniwko [45]

Answer:

Option D

Step-by-step explanation:

If the whole grid is considered to be 1,

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There are 72 shaded grids which represent the hundreds = 0.72

When these grids have been divided into 9 equal rows, number of grids in each row = 8

And the value of 8 grids in each row = 0.01 × 8 = 0.08

So the equation is,

0.72 ÷ 9 = 0.08

Therefore, equation represented by the model will be Option (D).

4 0
2 years ago
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rjkz [21]

Answer:

arithmetic progression problem

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2 years ago
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