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2 years ago

The diameter of a circle has endpoints whosever coordinates are R(-2,2) and S(4,2). find the center of the circle

1 answer:

3 0

Hello!

As you can see this line is horizontal. It is 6 units long. Therefore the center is three units in. Therefore the center of this circle is at (1,2).

I hope this helps!

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NEED ANSWER QUICKLY

Hitman42 [59]

It’s between two and three which might turn out to be a decimal

8 0

2 years ago

If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n

natali 33 [55]

Answer:

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

$f(t) = 100 \cdot 2^\frac{t}{3}$

To find inverse of a function , replace f(t) with y

$y= 100 \cdot 2^\frac{t}{3}$

replace t with y and y with x

$x= 100 \cdot 2^\frac{y}{3}$

solve for y

divide both sides by 100

$\frac{x}{100} =2^\frac{y}{3}$

take ln on both sides

$ln \frac{x}{100} =\frac{y}{3}ln 2$

divide both sides by ln

$ln_2(\frac{x}{100}) =\frac{y}{3}$

multiply by 3 on both sides

$y=3ln_2(\frac{x}{100})$

Replace x with t and y with f^-1

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

7 0

2 years ago

(X^3-7x+4)+(2x+x-10)

lana66690 [7]

The answer is x^3-4x-6.

4 0

3 years ago

I need help with this Pythagorean Theorem word problem

frez [133]

Answer:

10.63.

Step-by-step explanation:

First we need to understand pythagorean theorem that is,

Hypotenuse^2=perpendicular^2+base^2.

=7^2+8^2.

=49+64

=113.

Hypotenuse^2=113.

Square root both sides.

Hypotenuse=10.63.

5 0

3 years ago

Please help... need help ASAP due today... which ones are the answers?

andrey2020 [161]

Answer:

Choices 1 and 4 are correct.

Step-by-step explanation:

We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:

$\frac{4-(-2)}{3-1}=\frac{6}{2}=3$

Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be $-\frac{1}{x}$ . Therefore, if the line's slope is 3, then we need to find answers with a slope of $-\frac{1}{3}$ .

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, where $y-y_{1}=m(x-x_{1})$ . The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

$x+3y=9\\3y=9-x\\y=3-\frac{1}{3}x\\y=-\frac{1}{3}x+3$

Equations like these can be real sneaky, so it's important not to jump to conclusions with them.

6 0

2 years ago