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4 years ago

Find the area of the shaded region

Mathematics

1 answer:

goldfiish [28.3K]4 years ago

5 0

Answer:

38x² - 17x - 3

Step-by-step explanation:

The area of the shaded region is calculated as

area of outer rectangle - area of white rectangle, that is

(8x + 1)(5x - 3) - 2x(x - 1) ← expand (8x - 1)(5x - 3) using FOIL

= 40x² - 24x + 5x - 3 - 2x² + 2x ← collect like terms

= 40x² - 17x - 3

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xxTIMURxx [149]

Answer:

{-3, 2, 3, 5}

Step-by-step explanation:

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3 years ago

Which ordered pair is a solution of the equation y=3x?

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3 years ago

Translate this sentence into an equation. 64 is the sum of 20 and Carlos's height. Use the variable c to represent Carlos's heig

vaieri [72.5K]

The answer is 64 = 20 + c

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3 years ago

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Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height double

Vikentia [17]

Answer:

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

$\frac{k}{n}=\frac{15}{7}\\k=\frac{15}{7}n$ (1)

Then, Keith's height is increased by 16%, so the new height of Keith is

$k'=k+0.16 = 1.16k$ (2)

While the nephew's height is doubled:

$n'=2n$ (3)

We also know that Keith is now 34 cm taller than his nephew, so

$k'=n'+34$ (4)

Substituting (2) and (3) into (4), we get

$1.16k=2n+34$

And substituting (1),

$1.16\cdot \frac{15}{7}n=2n+34$

Solving for n,

$2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4$

So the current height of the nephew is:

$n'=2n=2(69.4)=138.8 cm$

While Keith's current height is

$k'=138.8+34=172.8 cm$

So their total current height is

$k'+n'=172.8+138.8=311.6 cm$

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4 years ago

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Phantasy [73]

$-34$

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3 years ago

Read 2 more answers