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3 years ago

Find the area of a circle to the nearest thousandth, given it's equation: (x - 4)² + (y - 1)² = 76 (Pls..)

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

7 0

A circle's equation is (x-a)² + (y-b)² = r² and its area is πr² so we get

Answer: 76π

I'll leave the calculator work to you.

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Write and solve a real world word problem in which there are 3 pancakes for every person.

Natali5045456 [20]

Bob and jack make 6 pancakes and they each want half of all the pancakes. how many do they each get?

answer 3

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3 years ago

Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)

Vilka [71]

Answer:

$x=3\log_3 (2) +8$

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base $[log(a)^{b}=b\times log(a)]$ .

For the function given.

$3^{(x-8)} = 8$ ,using log function both sides.

$(x-8)log(3)=log(8)$

Now,

$(x-8)=\frac{log(8)}{log(3)}$

Adding $8$ both sides.

$x=\frac{log(8)}{log(2)} +8$

And we know that $8=2^{3}$ so we can further write $log(8)=log(2^{3})=3log(2)$

Then we have $x=\frac{3\log(2)}{\log 3} +8$ .

Now, using change of base formula:

$\frac{\log y}{\log b}=\log_b y$

So, $\frac{\log 2}{\log 3}=\log_3 2$

Our final answer is $x=3\log_3 (2) +8$ .

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3 years ago

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Describe a sequence of transformations that verifies that these triangles are similar

Tom [10]

We can’t see the question like we need to see it

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3 years ago

Someone help me understand this

zheka24 [161]

Answer:

Step-by-step explanation:

for reflection around x-axis.

(x,y)→(x,-y)

so P' is (-7,4)

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2 years ago

Solve for y: x=5y-3

kobusy [5.1K]

X=5y-3
-5y=-x-3
5y=x+3
y=x/5 + 3/5

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3 years ago

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