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3 years ago

Express the following in exponential notation: (-13) X (-13). 35 times

Mathematics

1 answer:

miv72 [106K]3 years ago

8 0

Answer:

$(-13) * (-13) = (-13)^{2}$

$35 * 35 = 35^{2}$

Step-by-step explanation:

Given

$(-13) * (-13)$

Required

Express as an exponential notation

$(-13) * (-13)$

Apply the following law of indices

$x^a * x^b = x^{a+b}$

This gives:

$(-13) * (-13) = (-13)^{1+1}$

$(-13) * (-13) = (-13)^{2}$

<em>The second complete is incomplete; However, I'll assume it is: 35 times 35</em>

$35 * 35$

Using the same law applied in (1) above:

$35 * 35 = 35^{1+1}$

$35 * 35 = 35^{2}$

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3 years ago

Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y

omeli [17]

Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

$-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14$

This can be represented in matrix form as

AX=B Or

$\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]$

So solution set

X would be $A^{-1} B$

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Cofactors of A are

-1 0 -1

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So inverse of A is

1 2 0

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Solution set would be

x=12

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3 years ago

Which does NOT represent an obtuse angle

Darya [45]

Hey there!

An obtuse angle is defined as an angle that is wider than 90° but less than 180°. For example, a 68° would not be considered obtuse, but a 107° would. As long as the degree is between 90 and 180, the angle is obtuse. Any other angle (either between 0 and 90 OR 180 and 360) is not obtuse.

You can use this information to answer the question based on the angles you have been given.

Hope this helped you out! :-)

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4 years ago

What is 140% of 600? Round to the nearest hundredth (if necessary).

Bezzdna [24]

Answer:

840

Step-by-step explanation:

I think this is right hope it helps! :)

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3 years ago

Read 2 more answers

A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how m

timurjin [86]

The general equation for computing the circumference of a circle is $C=\pi d$ , where C is the circumference, and d is the diameter. (You might also see the equation as $C=2 \pi r$ where r is the radius, because $d=2r$ )

Computing the circumferences of the two circles, we get:
$C_{d=15}=\pi (15)=15\pi$
$C_{d=30}=\pi (30)=30\pi$ .

To calculate the ratio of two numbers, we can divide one by the other. You can look at this as "How many times does the denominator fit in the numerator?"
$\frac{C_{d=30}}{C_{d=15}}=\frac{30\pi}{15\pi}=2$
So the circumference of the complex impact crater is 2 times greater than the circumference of the simple impact crater.

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4 years ago