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3 years ago

Which graph represents the function y=5(1/3)x

Mathematics

2 answers:

Marrrta [24]3 years ago

8 0

Answer:

the answer is the b) second graph because the equation matches the graph ,and the y is intercept is 5

ki77a [65]3 years ago

4 0

Answer:

the answer is the b) second graph because the equation matches the graph ,and the y is intercept is 5.

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point A is located at (2,6) and point B is located at (18,12) . what point partitions the directed line segment ab into a 2:3 ra

Lesechka [4]

(8.4, 8.4) or $\left(\frac{42}{5}, \frac{42}{5}\right)$

Explanation:

Given points are A(2, 6) and B(18, 12).

Let P(x, y) partitions the line segment in the ratio 2 : 3.

That is AP : PB = 2 : 3.

A(2, 6) can be taken as $A(x_1, y_1).$

B(18, 12) can be taken as $B(x_2, y_2).$

AP : PB can be taken as m : n = 2 : 3.

The coordinate of point P(x, y) divides line segment joining $A(x_1, y_1)$ and $B(x_2, y_2)$ in ratio m : n is

$P(x,y)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})$

Here, $x_1 = 2, x_2=18, y_1=6, y_2=12$ and m = 2, n = 3.

Substitute these in the above formula, we get

$P\left(x, y\right)=\left(\frac{2 \times 18+3 \times 2}{2+3}, \frac{2 \times12+3 \times 6}{2+3}\right)$

$=\left(\frac{36+6}{5}, \frac{24+18}{5}\right)$

$=\left(\frac{42}{5}, \frac{42}{5}\right)$

= (8.4, 8.4)

Hence, the point partitions the line segment is (8.4, 8.4) or $\left(\frac{42}{5}, \frac{42}{5}\right)$ .

8 0

3 years ago

Read 2 more answers

1. Differentiate with respect to x:<br>

natta225 [31]

9514 1404 393

Answer:

a) y' = x^2(3x·ln(6x) +1)

b) y' = 6e^(3x)/(1 -e^(3x))^2

Step-by-step explanation:

The applicable rules for derivatives include ...

d(u^n)/dx = n·u^(n-1)·du/dx

d(uv)/dx = (du/dx)v +u(dv/dx)

d(e^u)/dx = e^u·du/dx

d(ln(u))/dx = 1/u·du/dx

(a)

$y=x^3\ln{(6x)}\\\\y'=3x^2\ln{(6x)}+\dfrac{x^3\cdot6}{6x}\\\\\boxed{\dfrac{dy}{dx}=3x^3\ln{(6x)}+x^2}$

(b)

$y=\dfrac{1+e^{3x}}{1-e^{3x}}=1+\dfrac{2}{1-e^{3x}}=1+2(1-e^{3x})^{-1}\\\\y'=-2(1-e^{3x})^{-2} (-3e^{3x})\\\\\boxed{\dfrac{dy}{dx}=\dfrac{6e^{3x}}{(1-e^{3x})^2}}$

5 0

3 years ago

Triangle LMN has side lengths of 32 inches, 16 inches, and 40 inches. Is triangle LMN a right triangle? Justify your answer

madreJ [45]

Answer:

Yes

Step-by-step explanation:

If you use the Pythagorean theorem you will see that it is indeed a right triangle.

8 0

3 years ago

Read 2 more answers

Round 20045 to 4 significant figures.

tresset_1 [31]

Answer:

2005

Step-by-step explanation:

4 0

3 years ago

"give another name for plane Q "

serg [7]

plane v, plane x would work too

5 0

4 years ago