Which of the following groups of instruments do tipanu, aruding and beberek fall under?.

Two numbers differ by 8 if their product is 713 then the sum of the two numbers is.

const2013 [10]

The sum of the two numbers is equal to 70.

Let the first number be x.

Let the second number be y.

In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).

Translating the word problem into an algebraic expression, we have;

Two numbers differ by 8:

$x-y=8$ ....equation 1.

The product of the two numbers is 713:

$xy=713$ ....equation 2.

To calculate the sum of the two numbers:

First of all, we would solve for each of the unknown variables (x and y).

From eqn. 1, we have:

$x=8+y$ ....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

$y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0$

Solving the quadratic equation by factorization, we have:

$y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0$

y = -23 or 31.

For the value of x, when y = 31:

$x=8+31$

x = 39

Now, we can calculate the sum of the two numbers:

$x+y=39+31=70$

Read more on word problems here: brainly.com/question/13170908

4 0

2 years ago

A girl runs 40 m, west, 50 m south, 60 m, east. what is his net displacement?

balandron [24]

The displacement of the girl which the relative change in her position from her starting point. Therefore, the shortest distance between her initial and final position is 58.85 m North - West

From the sketch of the girls movement attached below, the displacement of the girl can be calculated thus :

Using Pythagoras :

Displacement, d = √(50² + 20²)

d = √(2500 + 400)

d = √2900

d = 53.851

Therefore, the displacement of the girl, which is the shortest distance between her current position and starting position is 53.85 meters NW.

Learn more :brainly.com/question/1021211