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3 years ago

Which expression is equivalent to 3^2 x 3^6 3^12 9^12 9^8 3^8

Mathematics

1 answer:

Evgen [1.6K]3 years ago

5 0

Answer:

${3}^{8}$

Step-by-step explanation:

1) Use product rule: x^a x^b = x^a+b.

${3}^{8}$

2) Simplify.

$6561$

The answer is option D) 3⁸.

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2.5h= min pls answer me quick pls

Effectus [21]

Answer:

2.5h = 150 min.

Step-by-step explanation:

An hour is 60 minutes.

A half an hour is 30 minutes.

Two hours = 1 hour + 1 hour = 60 minutes + 60 minutes = 120 minutes

2.5 hours = 2 hours + 1/2 hour = 120 minutes + 30 minutes = 150 minutes

2.5h = 150 min.

Hope this helps.

6 0

3 years ago

What of the following is a multiple of 4

Aleksandr-060686 [28]

Where are the following?

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4 years ago

Can someone explain this to me or help me get the answer? it is about centroids in triangles.

nadezda [96]

Answer: A centroid of a triangle is the point where the three medians of the triangle meet that is what i got on my test hope this helps :)

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4 years ago

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

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2 years ago

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All triangle angles have 60 degree angles. What are the side lengths?

Alex_Xolod [135]

If all the angles are 60 degrees, this is an equilateral triangle. This means that all the sides have the same lengths. Whatever length side a is, b and c have the same length.

Hope this helps :)

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3 years ago

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