We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

$2(11x)=10x^2$ and

$10x^2-22x=0$ and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to $\frac{22}{10}=2.2$

So x = 2.2 and y = 22.

7 0

2 years ago

If using the method of completing the square to solve the quadratic equation

jenyasd209 [6]

You add half of the coefficient of x and square it.

What you do on one side,you must do it on the other.

4 0

3 years ago

If 5.90 × 1.8 = 10.62, what does 106.2 ÷ 59 equal?

alexira [117]

Answer:

1.8

Step-by-step explanation:

- hope this helps!!

8 0

3 years ago

Read 2 more answers

What’s the answer plss I really need help

iragen [17]

Answer:

The answer is d) 22.4

Step-by-step explanation:

I attached a file below if you want to see the process!

8 0

1 year ago

Read 2 more answers