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3 years ago

What is the solution set for the quadratic equation x squared - 16 equals 0

2 answers:

8 0

$x^2-16=0 \\\\ (x-4)(x+4)=0 \\\\\\ \#1 \\\\ x+4=0 \\\\ \boxed{x=-4} \\\\ \#2 \\\\ x-4=0 \\\\ \boxed{x=4} \\\\\\ \boxed{\boxed{S=\{ -4;4 \}}}$

LenaWriter [7]3 years ago

3 0

X is either 4 or -4 because it is the square root of 16

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The dimensions of the following matrix M are 2 x 3. True False

Lostsunrise [7]

Answer:

true, refer to picture for more understanding :)

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3 years ago

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Find the surface area of the cone. Use 3.14 to approximate pi.

Ainat [17]

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3 years ago

Solve for y. 22mm+15mm+(4y+12)mm=180 degrees

AURORKA [14]

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3 years ago

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

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3 years ago

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6 Bridesmaids want to make 330 decorations for a wedding. Each

Alex_Xolod [135]

Answer:

about 3.21 hours each

Step-by-step explanation:

First divide 330 by 6 since there are six people.

Every person needs to do 55 decorations.

I would take the average of 2-4 minutes and multiply it by 55.

55 x 3.5 = 192.5 minutes

to convert to hours divide by 60.

192.5 / 60 = 3.21

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3 years ago