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4 years ago

The three angle bisectors of a triangle intersect at the

Mathematics

1 answer:

Ivahew [28]4 years ago

3 0

Answer:

The three angle bisector intersect at a point called the incenter of the triangle, which is actually the center of the triangle. This center point is at equal distance from all sides of the triangle.

Also if a circle is inscribed in the triangle, the incenter will be located at the center of that circle.

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Solve the differential equation

Sloan [31]

Answer:

$f(x) = 3x^2+8$

Step-by-step explanation:

We are given the first derivative of $f(x)$ and the value of $f(0)$ .

To go from the first derivative to the original function, we integrate.

Therefore:

$f(x) = \int {6x} \, dx$

To integrate, we add 1 to the power and divide by the new power:

$\int {6x} \, dx = \frac{6x^2}{2} =3x^2+C$

Because we have an indefinite integral, we have to add the constant, $c$ , to the end.

So: $f(x) = 3x^2+C$

We know $f(0)$ so we can find the constant $C$ .

$f(0)=3(0)^2+C=8$

$C=8$

Therefore $f(x) = 3x^2+8$

6 0

3 years ago

Read 2 more answers

What’s the correct answer for this?

cricket20 [7]

Honestly don’t know

4 0

3 years ago

Which is a better deal per ounce? 24 ounces for $2. 99 or 36 ounces for $4. 99?

Shkiper50 [21]

Answer:

24 for 2.99

Step-by-step explanation:

2.99/24 = $0.1245 per ounce
4.99/36 = $0.1386 per ounce

So the 36 cost more per ounce.

5 0

3 years ago

John is x years old and his sister Mary is (5x-12) years old. Given that Mary is twice as old as John, write in terms of x an eq

jeka57 [31]

Answer: x =4
Mary is 8 and John is 4

Explanation:
John = x
Mary = 5x - 12 or 2x

Solve for x

5x - 12 = 2x

-12 = -3x

X=4

Hope that helps!

3 0

3 years ago

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each s

DochEvi [55]

Answer:

x= 35 hot dogs

y= 52 soda

Step-by-step explanation:

x= hot dogs

y= soda

Total sold

1 x + 1 y = 87 .............1

2 x 0.50 y = 78.50 .............2

Eliminate y

multiply (1)by -0.50

Multiply (2) by 1.00

-0.50 x -0.50 y = -43.50

2 x + 0.50 y = 78.50

Add the two equations

1 x = 35.00

/ 1

x = 35.00

plug value of x in (1)

1 x + 1 y = 87

35 + y = 87

y = 87 -35

y = 52

y = 52.00

x= 35 hot dogs

y= 52 soda

6 0

3 years ago