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OLEGan [10]
3 years ago
8

Which expression is equivalent to (r^7)^6

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

r^42

Step-by-step explanation:

Just multiply the two exponents together:

(r^7)^6 = r^42

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Solve for x and y please!
galina1969 [7]

Answer:

x = 8

y=2\sqrt{3}

Step-by-step explanation:

The figure is composed of 3 Right triangles. To find the values of the variables x and y we use the Pythagorean theorem to propose one equation.

x^2 =4^2 + (4\sqrt{3})^2

 Now we solve for x

x=\sqrt{4^2 + (4\sqrt{3})^2}

x=\sqrt{16 +16*3}\\\\x=\sqrt{64}\\\\x=8

Let's call z at the angle opposite to y

Then we have that:

sin(z) =\frac{opposite}{hypotenuse}

Where

hypotenuse = 8

opposite=4

sin(z) =\frac{4}{8}

z=sin^{-1}(\frac{1}{2})

z=30

Now we use this angle to find the length y

sin(z) =\frac{opposite}{hypotenuse}

Where in this case

hypotenuse = 4\sqrt{3}

opposite=y

z=\°30

sin(30\°) =\frac{y}{4\sqrt{3}}

y=sin(30\°)*4\sqrt{3}

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6 0
4 years ago
FInd the equation of the line
Pepsi [2]

Answer:

y = -x +9

Step-by-step explanation:

The equation will be written in slope-intercept form, y=mx+b

Looking at the graph, we can already see that the y-intercept is +9 since that is the point on the y-axis from where the line comes from.

Now, you have to find the slope. Normally, you would pick two points and subtract the y value of the second point and the y value of the first point and put the sum over the difference of the x value of the second point and the first point, y2 - y1/ x2 - x1.

You could have done this or looked at the graph to see that the line has a constant downward slope of -1, go down one and to the right one from (0,9) t ok end up at (1,8).

All that's left to do now is to plug the values of the slope and y-intercept in to give us the equation y = -x +9.

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Y x 2.69 = 269.0

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Marta_Voda [28]

Answer:

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Step-by-step explanation:

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