Whats the gcf and sum of 49+63

Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3

Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

$PB = \dfrac{4}{7}\times 7 = 4\ units$

$QB = \dfrac{3}{7}\times 7 = 3\ units$

$RB = \dfrac{5}{7}\times 7 = 5\ units$

$SB = \dfrac{2}{7}\times 7 = 2\ units$

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

4 0

2 years ago

Read 2 more answers

A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? p =

stepladder [879]

Answer:

p=3

Step-by-step explanation:

The given parabola has equation ;

$x^2=12y$

The general formula for a parabola is;

$x^2=4py$

To find the value of p, we need to compare the coefficient of y in both equations;

$\implies 4p=12$

Divide both sides by 4;

$\implies p=\frac{12}{4}$

$\implies p=3$

5 0

3 years ago

I need y’all to help me asap!!!!!!

timofeeve [1]

Answer:

-1

Step-by-step explanation:

f(0) = -5^0 = -1

8 0

2 years ago

Suppose that the world's current oil reserves is R = 1820 billion barrels. If, on average, the total reserves

iVinArrow [24]

Answer:

A. R = -18t + 1,820

B. 1,568 billions of barrels

C. approximately 101.11 years

Step-by-step explanation:

To make our equation, we'll use the form R = mt + b. M represents how many billion barrels of oil are being lost each year, which we know is 18 billion. So -18 will be our m. B is how many total barrels of oil there are, which is 1,820. So 1,820 will be our b. Now the equation looks like this:

R = -18t + 1,820

We can use this equation to answer Part B.

Replace the t with 14:

R = -18(14) + 1,820

Now solve for R:

R = -18(14) + 1,820

R = -252 + 1,820

R = 1,568

14 years from now, there will be 1,568 billions of barrels left.

To solve part C, we need to find how many years it will take for all of the oil to be used up. After it's all used up, the total amount of oil will be 0, so we can replace R with 0 and then solve for t:

0 = -18t + 1,820

Subtract 1,820 from both sides to isolate -18t:

0 - 1,820 = -18t + 1,820 - 1,820

-1,820 = -18t

Divide both sides by -18 to isolate the t:

-1,820/-18 = -18t/-18

101.11 = t

After approximately 101.11 years, all of the oil will be used up.

3 0

2 years ago

A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.

nordsb [41]

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55 Eqn 1

2x+4y=146 Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110 Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

$\frac{2y}{2}=\frac{36}{2}\\y=18$

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

8 0

3 years ago