$y=75\ \ \ \ x=5\\\\
y=?\ \ \ \ \ x=3\\\\
proportion:\\
\frac{75}{y}=\frac{5}{3}\ \ \ | cross\ multiplication\\\\
75*3=5y\\\\
225=5y\ \ \ | divide\ by\ 5\\\\
y=45
$

5 0

3 years ago

Simplify: 4w(to the power of 9)+(-2w(to the power of 9)) enter the original expression if it cannot be simplified

igomit [66]

4w⁹ -2w⁹
= (4-2)w⁹ . . . . . distributive property, or "collecting terms"
= 2w⁹

_____
In plain text, a caret (^) is used to identify an exponent. w⁹ = w^9. If the exponent has any arithmetic, you need parentheses around it. w^(8+1)

6 0

3 years ago

Which expression is equivalent to (3-2^2) +5?

Arturiano [62]

The 3rd one is the right one!!!!!!!!!!!!!!!!!!

8 0

3 years ago

Look at triangle ABC. What is the length of said AB of the triangle

Nuetrik [128]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad 
B(\stackrel{x_2}{1}~,~\stackrel{y_2}{2})\qquad \qquad 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AB=\sqrt{(1-4)^2+(2-5)^2}\implies AB=\sqrt{(-3)^2+(-3)^2}
\\\\\\
AB=\sqrt{9+9}\implies \boxed{AB=\sqrt{18}}\implies AB=\sqrt{2(9)}
\\\\\\
AB=\sqrt{2(3^2)}\implies \implies AB=3\sqrt{2}$

5 0

3 years ago