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timofeeve [1]
2 years ago
11

Apply the distributive property to factor out the greatest common factor.

Mathematics
1 answer:
Sauron [17]2 years ago
3 0

Answer:

\large\boxed{25p+50q=25(p+2q)}

Step-by-step explanation:

\text{The distributive property}\\\\a(b+c)=ab+ac\\\\25p=\boxed5\cdot\boxed5\cdot p\\\\50q=2\cdot\boxed5\cdot\boxed5\cdot q\\\\GCF(25p,\ 50q)=\boxed5\cdot\boxed5=25\\\\25p+50q=25\cdot p+25\cdot2q=25(p+2q)

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Calculator
Sedaia [141]

Check the picture below.

so let's find the lengths of those two sides in red, since are the length and width of the rectangle.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[-3-(-6)]^2+[6-3]^2}\implies d=\sqrt{(-3+6)^2+(6-3)^2} \\\\\\ d=\sqrt{9+9}\implies \boxed{d=\sqrt{18}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})~\hfill d=\sqrt{[-2-(-6)]^2+[-1-3]^2} \\\\\\ d=\sqrt{(-2+6)^2+(-1-3)^2}\implies d=\sqrt{16+16}\implies \boxed{d=\sqrt{32}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{(\sqrt{18})(\sqrt{32})}\implies \sqrt{18\cdot 32}\implies \sqrt{576}\implies 24

7 0
3 years ago
Which of these rational numbers is also an integer?
dexar [7]

Answer:

6/3

Step-by-step explanation:

An integer is a whole number, that is not a fraction. All of the numbers are fractions, but if you simplify them, you see that 6/3=2. 2 is a whole number, and therefore an integer.

3 0
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Answer: a

Step-by-step explanation:

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Answer:

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Answer:

1.98

Step-by-step explanation:

Find the number in the hundredth place 8 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

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