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3 years ago

Select all statements thats show the correct reasoning for finding 15 divided by 2/9

Mathematics

1 answer:

Anton [14]3 years ago

6 0

No there is nothing here please provide answers

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What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

timama [110]

Given:

The point $P\left(\dfrac{3}{4},\dfrac{5}{12}\right)$ divides the line segment joining points $A\left(\dfrac{1}{2},\dfrac{3}{2}\right)$ and $B(2,-5)$ .

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Let point P divides the segment AB in m:n. Then by using the section formula, we get

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)$

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)$

On comparing both sides, we get

$\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}$

$\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}$

Multiply both sides by 4.

$3(m+n)=2(4m+n)$

$3m+3n=8m+2n$

$3n-2n=8m-3m$

$n=5m$

It can be written as

$\dfrac{1}{5}=\dfrac{m}{n}$

$1:5=m:n$

Therefore, the point P divides the line segment AB in 1:5.

6 0

3 years ago

What is the average rate of change of the function f(x) = x^2 on the interval from x=2 to x=4?

Ghella [55]

The answer is c
Step by step:

7 0

3 years ago

Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)−1 + 34x − 17 where x is in thousands of un

REY [17]

Answer:

Step-by-step explanation:

Given that:

R(x) = $\frac{17}{2x+1}$ + 34x − 17

As we know that derivative of revenue function is marginal revenue function .

We will use following rules of derivative

=> dR/ dx = $\frac{-17*2}{(2x+1)^{2} } + 34$

=> R' (x) = $\frac{-34}{(2x+1)^{2} } + 34$

=> R '(2000) = $\frac{-34}{(2*2000+1)^{2} } + 34$ = 34

The revenue when 2000 units are sold is:

R(2000) = $\frac{17}{2*2000+1}$ + 34*2000 − 17 = $69,783

3 0

3 years ago

Does anyone know the answer?

ozzi

Maybe d. but u should probably wait for another answer

8 0

3 years ago

Solve the triangle. Round your answers to the nearest tenth.

wel

Answer:

m∠A ≈ 43°

m∠B ≈ 55°

mBC ≈ 20

Step-by-step explanation:

Law of Sines: $\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

Step 1: Find m∠B

$\frac{29}{sin82} =\frac{24}{sinB}$

Step 2: Solve for ∠B

29sinB = 24sin82°

sinB = 24sin82°/29

B = sin⁻¹(24sin82°/29)

B = 55.038°

Step 3: Find m∠A

180 - (55.038 + 82)

180 - 137.038

m∠A = 42.962°

Step 4: Find BC

$\frac{29}{sin82} =\frac{BC}{sin42.962}$

Step 5: Solve for BC

29sin42.962° = BCsin82°

BC = 29sin42.962°/sin82°

BC = 19.9581

4 0

3 years ago