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3 years ago

Write the expression as a single natural logarithm. 2 ln m + 9 ln n=in?

Mathematics

1 answer:

Akimi4 [234]3 years ago

7 0

Answer:

ln (m^2n^9)

Step-by-step explanation:

Rule: ln a + ln b = ln ab

Rule: ln a^n = n * ln a

2 ln m + 9 ln n =

= ln m^2 + ln n^9

= ln (m^2n^9)

= $\ln m^2n^9$

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What is the y-coordinate of the point that divides the

natima [27]

Answer:

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are $(x_1,y_1)$ and $(x_2,y_2)$ , then the coordinates of that point are

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

$(\frac{(5)(7)+(1)(1)}{5+1},\frac{(5)(2)+(1)(-10)}{5+1})$

$(\frac{35+1}{6},\frac{10-10}{6})$

$(\frac{36}{6},\frac{0}{6})$

$(6,0)$

Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

8 0

3 years ago

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Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inch

chubhunter [2.5K]

Answer:

Two equal sides = 14.4 inches each

Shortest side = 7.2 inches

Step-by-step explanation:

a + b + c = 36

a = b

a = 2c

then:

c = a/2

a + a + a/2 = 36

2a + a/2 = 36

4a/2 + a/2 = 36

5a/2 = 36

a = 2*36/5

a = 72/5

a = 14.4

a = 2c

14.4 = 2*c

c = 14.4/2

c = 7.2

a = b

b = 14.4

Check:

14.4 + 14.4 + 7.2 = 36

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3 years ago

Which is the best description for this histogram?

pshichka [43]

Answer: it is a

Step-by-step explanation: i got it right

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3 years ago

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David is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car uses up one gallon of gas every 2

ehidna [41]

Answer:

$G = -D/20 + 14$

Graph in the image attached.

Step-by-step explanation:

Using the model of a linear equation, we have:

$G = aD + b$

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.

So if David starts the trip with 14 gallons of gas, we have b = 14.

'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.

So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]

So our equation is:

$G = -D/20 + 14$

The graph of this equation is in the image attached.

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3 years ago

NO WRONG ANSWERS !!! Evaluate 501 × 502

julia-pushkina [17]

Answer:

251,502

Step-by-step explanation:

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2 years ago

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