Help me with this exercise

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

3 0

$\left(\frac{-3}4\right)^3 = \frac{-3}4 \times \frac{-3}4 \times \frac{-3}4 = \boxed{-\frac{27}{64}}$

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Which of the following points lies on the circle whose center is at the origin and whose radius is 13?

Alexxandr [17]

any point that is on the circle will have a distance of "radius" units, namely 13 units, since the radius is just that.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-5-0)^2+(12-0)^2}\implies d=\sqrt{(-5)^2+12^2} \\\\\\ d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13$

8 0

3 years ago

Y = -x^2 + 5<br> -x + y = 3<br> Solve algebraically pleaseee help!!!

SIZIF [17.4K]

2.37 I’m pretty sure

4 0

3 years ago

Can somewon help me plz can somewon help me

Karolina [17]

Hey there! I'm happy to help!

Let's look at our diameters.

$1*10^2^1\\5*10^2^2$

We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.

$\frac{5*10^2^2}{1*10^2^1} \\$

We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x

$\frac{5*10^2^2}{1*10^2^1} = 5*10=50$