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IrinaVladis [17]

3 years ago

11

In ABC, and intersect each other at point Q. According to a theorem on medians, Q divides in the ratio 2 : 1. What are the coord

inates of Q? A. (5, -3.5) B. (4, -5) C. (3.33, -3) D. (3.67, -4)

1 answer:

matrenka [14]3 years ago

7 0

D that is the answer

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Slope = -5/2; y-intercept = -3

ivanzaharov [21]

Answer:

y = -5/2x - 3

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

=

y = -5/2x - 3

4 0

3 years ago

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Find the 2nd Derivative:<br> f(x) = 3x⁴ + 2x² - 8x + 4

ad-work [718]

Answer:

$f''(x)=36x^2+4$

Step-by-step explanation:

Let's start by finding the first derivative of $f(x)= 3x^4+2x^2-8x+4$ . We can do so by using the power rule for derivatives.

The power rule states that:

$\frac{d}{dx} (x^n) = n \times x^n^-^1$

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

$\frac{d}{dx} (3x^4+2x^2-8x+4)$

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)$

Simplify the equation.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)$
$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)$

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)$
$f'(x)=12x^3+4x-8$

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).

$\frac{d}{d} (f'x) = \frac{d}{dx} (12x^3+4x-8)$

$\frac{d}{dx} (12x^3+4x-8) = ((3)12x^3^-^1 + (1)4x^1^-^1 - (0)8)$

Simplify the equation.

$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4x^0 - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4(1) - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4 )$

Therefore, this is the 2nd derivative of the function f(x).

We can say that: $f''(x)=36x^2+4$

6 0

2 years ago

Read 2 more answers

X + 16 = 25 What is the value of x?

Paraphin [41]

Answer:

x = 9

Step-by-step explanation:

Isolate x first by moving 16 to the other side

x = 25 - 16

x = 9

5 0

3 years ago

What is the area of a triangle with a base of 1.3cm and height of 0.5 cm?

sammy [17]

Answer:

0.325 cm²

Step-by-step explanation:

A = $\frac{1}{2}$ bh = $\frac{1}{2}$ *1.3*0.5 = 0.325 cm²

6 0

2 years ago

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−20=−4x−6x Find the value of x

xeze [42]

Answer:

$\huge\boxed{x=2}$

Step-by-step explanation:

$-20=-4x-6x\qquad|\text{combine like terms}\\\\-20=-10x\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-20}{-10}=\dfrac{-10x}{-10}\\\\2=x\to x=2$

4 0

3 years ago