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3 years ago

What are the coordinates of the circumcenter of a triangle with vertices A(0,1), B(2, 1) , and C(2, 5) ?

1 answer:

4 0

The circumcenter is where the perpendicular bisectors meet.
if you sketch the triangle, you will see that it is a right triangle, with the right angle vertex at (2,1)
one perpendicular bisector is x=1, another perpendicular bisector is y=3
they meet at (1,3)
so (1,3) is the answer.

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Consider the exponential function f ( x ) = 13 , 500 ⋅ 0.89^x, which models the value of Mikayla's scooter, where x represents t

Elden [556K]

Answer: $8470

Step-by-step explanation:

To solve this, you can substitute 4 for x:

$f(x) = 13500*.89^4\\f(x) = 13500*0.6274\\f(x) = 8470$

Mikayla's scooter is worth around $8470 after 4 years.

It was originally worth 13,500 dollars and depreciated by 11% every year.

7 0

3 years ago

Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

$r=\frac{3h}{2}$

Volume of conical pile is given by formula

$V=\frac{1}{3}\pi r^2h$

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

$1110=\frac{1}{3}\pi (\frac{3h}{2})^2h$

$1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h$

$1110=\pi\cdot\frac{3h^3}{4}$

$1110\cdot\frac{4}{3\pi}=h^3$

$471.098631552=h^3$

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

7 0

3 years ago

What is the slope of this line?<br><br> (13,9)

STatiana [176]

Answer:

hope it helps...

Step-by-step explanation:

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

7 0

2 years ago

What type of triangle measures 6 inches, 8 inches, and 10 inches with on 90 degree angle?

bearhunter [10]

I think it would be a right triangle

7 0

2 years ago

Read 2 more answers

A ride sharing service charges $4.25 for every ride, plus $0.30 per mile. If m represents miles, which rule for p(m) models the

stiv31 [10]

Answer: p(m) = .30m + 4.25

Step-by-step explanation:

5 0

2 years ago