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3 years ago

Factor ab + 2a + 3b + 6

Mathematics

2 answers:

EastWind [94]3 years ago

7 0

The answer is (b+2)(a+3)

You have to group each like term but have them be able to separate evenly so when you do the foil method it goes back to the original equation.

Butoxors [25]3 years ago

7 0

Answer:

(b+2) (a+3)

Step-by-step explanation:

ab + 2a +3b + 6

ab + 2a + 3b + 3×2

After taking common

a (b +2) + 3( b+2)

Thus factors are:

(b+2) (a+3)

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Find the area of a regular pentagon with side equal to 3 and apothem equal to K

viva [34]

a regular polygon has all equal sides.

a PENTA=5, pentagon has 5 sides, so a regular pentagon has 5 equal sides.

$\bf \textit{area of a polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=K\\ p=\stackrel{3+3+3+3+3}{15} \end{cases}\implies A=\cfrac{1}{2}K15\implies A=\cfrac{15}{2}K$

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3 years ago

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Evaluate f(x)=4|x|+3 for x=-5

ratelena [41]

Subs x = -5 into f(x) = 4

f(-5) = 4 (answer)

4 0

2 years ago

A rectangular box which is 4 in. by 7 in. by 7 in. is covered by foil. How much foil is required

yKpoI14uk [10]

C. 196 sq. In.

Multiply 4×7×7 To find the surface area.

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2 years ago

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Simplify the expression 3/2 (5/3) -1 1/4 + 1/2 Given the answer as a simplified fraction. The simplified expression is a/b.

ella [17]

<h2>Hello!</h2>

The answer is:

The simplified fraction is:

$\frac{7}{4}$

To solve this problem we must remember the following:

- Addition or subtraction of fractions, we add or subtract fractions by the following way:

$\frac{a}{b}(+-)\frac{c}{d}=\frac{ad(+-)bc}{bd}$

- Product of fractions, the multiplication of fraction is linear, meaning that we should multiply the numerator by the numerator and denominator by denominator, so:

$\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}$

- Convert mixed number to fraction,

$a\frac{b}{c}=a+\frac{b}{c}=\frac{ac+b}{c}$

So, solving we have:

$\frac{3}{2}*\frac{5}{3}-1\frac{1}{4}+\frac{1}{2}=\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}\\\\\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}=\frac{15}{6}-(\frac{4+1}{1*4})+\frac{1}{2}\\\\\frac{15}{6}-(\frac{4+1}{4})+\frac{1}{2}=\frac{15}{6}-\frac{5}{4}+\frac{1}{2}$

$\frac{15}{6}-\frac{5}{4}+\frac{1}{2}=(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}\\\\(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}=(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}\\\\(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}=(\frac{20-10}{8})+\frac{1}{2}\\\\(\frac{20-10}{8})+\frac{1}{2}=(\frac{10}{8})+\frac{1}{2}\\\\(\frac{10}{8})+\frac{1}{2}=\frac{5}{4}+\frac{1}{2}\\\\\frac{5}{4}+\frac{1}{2}=\frac{(5*2)+(4*1)}{2*4}\\\\\frac{(5*2)+(4*1)}{2*4}=\frac{10+4}{8}=\frac{14}{8}\\\\\frac{14}{8}=\frac{7}{4}$

Hence, the simplified fraction is:

$\frac{7}{4}$

Have a nice day!

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3 years ago

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The value of a house depreciates by 8% per year. Work out the current value of a house bought 2 years ago for £180000

Diano4ka-milaya [45]

₤ 152352

depreciation factor = 100 - 8 = 92% = 0.92

current value = ₤ 180000 × (0.92)² = ₤ 152352

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3 years ago