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andrezito [222]
2 years ago
9

Help me with this question please

Mathematics
1 answer:
docker41 [41]2 years ago
6 0

7x/x-4 * x/x+7

mutiply the numerators together

(7x)(x)= 7x^ 2

mutiply the denominators together

(x-4)(x+7)

(x)(x)(7)(x)= x^2+7x

(-4)(x)(-4)(7)= -4x-28

x^2+7x-4x-28

x^2+3x-28

Answer:

7x^2/x^ 2+3x-28

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How will rational numbers help in future
allochka39001 [22]

Answer:

They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.

Step-by-step explanation:

short answer it won't trust me

7 0
2 years ago
Can anyone help me pls I will mark brainlist !! :)))
Kay [80]

Answer:

14 inches

Step-by-step explanation:

The volume of a rectangular prism is V=l*w*h

Given the info in the problem, we have:

840=l*10*6

840=60l

14=l

The length of the prism is therefore 14 inches because volume is length*width*height and since we already have the volume, height, and width, we need to get the variable for length by itself.

5 0
3 years ago
Help me with these two questions pls. This is the last thing I need for the end of the school year, then I'm finally done! (20 B
fiasKO [112]

Answer: the first is direct and the second is inverse.

Step-by-step explanation: There is no variation in the Y axis on the first, but there is lots of variation in the second

7 0
3 years ago
Help I will give brainiest​
sdas [7]

Answer:

1.  V = 94 meters cubed

2. V = 8 feet cubed

3.  V = 57 inches cubed

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder. So all you need to do is plug the numbers into the formula for the volume of a cylinder and then you have the answer.

The formula for a cylinder is V= (3.14 or pi) * radius squared * height

The formula for a cone is V= (3.14 or pi) * radius squared * height * 1/3

So here you go.....

1. V= 3.14 x 9 x 10 x 1/3                V = 94 meters cubed

2. V= 3.14 x 4 x 2 x 1/3                   V = 8 feet cubed

3. V = 3.14 x 9 x 6 x 1/3                  V = 57 inches cubed

Please give me brainiest!

6 0
2 years ago
A boat on the ocean is 2 mi from the nearest point on a straight? shoreline; that point is 15 mi from a restaurant on the shore.
Sladkaya [172]

Answer:

a) x  =  0,70 miles

T  =  1/2* (√4 + x²)  +( 15 - x )/3   Objective Function to minimize

b) V(min)  = 2.59 m/hr

Step-by-step explanation:

Let assume the boat is in Point A,  she lands in point B, and R  is the restaurant

Let call  x distance between the point O in  which perpendicular line from the boat get to shoreline, and the point were she land.

We know  distance is

d = v*t       ⇒  t = d/v

She rows at 2 miles/hr  and walk at 3 miles /hr

According to that she takes

c (hypotenuse) of right triangle  AOB/ 2 rowing

and  15 - x /3  walking

Total time is:

T  =  c/2  + ( 15-x )/3          c =√(2)² + x²     ⇒  T = [√(2)² + x²  ] /2  +  ( 15-x )/3  

T  =  1/2* (√4 + x²)  +( 15 - x )/3   (1)

And that is  the Objective function to minimize

a) Taking derivatives on both sides of the equation we get

T´(t)  =  x /( √4 + x²)  - 1/3    ⇒   T´(t)  = 0     x /( √4 + x²)  - 1/3 = 0

3*x - √( √4 + x²) = 0     ⇒  3*x  =  √( √4 + x²)

Squaring both sides

9x²  =  4 + x²     ⇒  8x²  = 4       x² = 1/2      x  =  0,70 miles

If we plug this value in the Objective function we will get the minimum time

1/2* (√4 + x²)  +( 15 - x )/3    ⇒ [√ 4  + 0,5] /2 +  14,3/3 = T (min)

T(min)  =  1.06 + 4.77  = 5.83 hr

Distance L (hypotenuse of right triangle AOR)

L = √(2)²  + (15)²   L  = 15,13 miles

And that distance have to be traveled at least in 5.83 hr rowing

Then  as  v = d/t      V(min)  =  15.13/ 5.83   ⇒    V(min)  = 2.59 m/hr

6 0
3 years ago
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