Each home room has to have the same number of girls and boys in each home room.

Find the two numbers whose sum is 29 and whose difference is 15.

yulyashka [42]

Answer:

a = 22

b = 7

Step-by-step explanation:

Let the two numbers be represented as a and b.

a + b = 29

a - b = 15

Using elimination method

Add both equations

2a = 44

Divide both sides by 2 to get a

2a/2 = 44/2

a = 22

Now substitute a = 22 in any of the equations to get b .

Using the first equation, we have

a + b = 29

22 + b = 29

Subtract 22 from both sides of the equation

22 - 22 + b = 29 - 22

b = 7

Therefore the two numbers are 22 and 7

7 0

3 years ago

Write parametric equations of the line through the points (7,1,-5) and (3,4,-2). please use the first point as your base-point w

Roman55 [17]

Given:

A line through the points (7,1,-5) and (3,4,-2).

To find:

The parametric equations of the line.

Solution:

Direction vector for the points (7,1,-5) and (3,4,-2) is

$\vec {v}=\left$

Now, the perimetric equations for initial point $(x_0,y_0,z_0)$ with direction vector $\vec{v}=\left$ , are

$x=x_0+at$

$y=y_0+bt$

$z=z_0+ct$

The initial point is (7,1,-5) and direction vector is $\vec {v}=\left$ . So the perimetric equations are

$x=(7)+(-4)t$

$x=7-4t$

Similarly,

$y=1+3t$

$z=-5+3t$

Therefore, the required perimetric equations are $x=7-4t, y=1+3t$ and $z=-5+3t$ .

5 0

3 years ago

Inside a toy truck, there is a gear that rotates to (3, −8) when the steering wheel is turned to the left. What is the sine valu

Marianna [84]

This is the the concept of trigonometry, to get the sine value of the the function given we shall proceed as follows;
Using Pythagorean theorem, the hypotenuse of the triangle will be found as follows;
The side length will be 8 units since the y-coordinate is -8
The side width will be 3 units since the x- coordinate is 3
c^2=a^2+b^2
c^2=(3)^2+(-8)^2
c^2=9+64
c^2=73
c=sqrt(73)

Therefore the sine value will be:
sin x=3/sqrt(73)
multiply both numerator and denominator by sqrt(73) we get:
sin x=(3√73)/73

Therefore the answer is A]

4 0

3 years ago

the price of the cell phone is expected to increase by 165% in September 2015. The current price of a cell phone is $62.80. What

Sladkaya [172]

Answer:

$166.42.

Step-by-step explanation:

We have been given that the price of the cell phone is expected to increase by 165% in September 2015. The current price of a cell phone is $62.80.

The price of cell phone in September 2015 will be $62.80 plus 165% of $62.80.

$\text{The predicted cost of a cell phone in September 2015}=\$62.80+(\frac{165}{100}*\$62.80)$