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2 years ago

Simplify the following expression: (66)4

Mathematics

1 answer:

lina2011 [118]2 years ago

8 0

Answer:

46656 to the power 4

Step-by-step explanation:

6 to the power 6 = 6 × 6 × 6 × 6 × 6 × 6 = 46656

(46656) to the power 4 = 46656 × 46656 × 46656 × 46656

This answer is undefined, so we will leave it at 46656 to the power 4.

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2 years ago

Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

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2 years ago

If a line has a slope of 4 and contains the point (-2,5), what is its equation in slope form?

melomori [17]

Answer:

y-y1=m(x-x1)

y-5=4(x + 5)

y-5=4x+20

5. 5

y = 4x + 25

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2 years ago

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