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nadya68 [22]
3 years ago
12

Write an absolute value equation that has the solution x=-10 and x=-5

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0
The last step of an equation whose solutions are x=-10 and x=-5 is:

(x+10)(x+5)=0


We need to add some previous steps, which make the equation an absolute value equation.

A way to do this, is writing |(x+10)(x+5)|=0, 

the only solutions are still x=-10 and x=-5


Answer: |(x+10)(x+5)|=0
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7 0
3 years ago
What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
3 0
3 years ago
Read 2 more answers
398.574986215 to the nearest ten-thousandth.
Julli [10]

Answer: 398.5750

Step-by-step explanation:

It is important to remember that the fourth digit after the decimal point is in the ten-thousandth place.

Then, given the  following number:

398.574986215

You can follow these steps in order ti round it to the nearest ten-thousandth:

1. You can identify that the digit in the ten-thousandth place is:

9

2. Identify the digit to the right of 9. This is:

8

3. Since:

 8>5

 You must round up. Increase the digit 9 by 1. (Notice that 9+1=10, then the digit to the left of  9 increases by 1 too). Then:

398.5750

3 0
3 years ago
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