We know that the area of a parallelogram is the base * the height of it, so if we divide both sides by the height, then area/height=base. Therefore, we must divide the area by the height. To divide using polynomials, we first set it up similar to a regular long division problem:
______________________
2x+3 | 2x²+13x+15
Next, we take the first component of the numerator (2x² in this case) and divide it by the first component of the denominator (2x) to get x. That will form the start of our answer, and at the bottom, we will subtract our numerator by the denominator (2x+3) multiplied by the start of our answer (x). Therefore, we have
_x_____________________
2x+3 | 2x²+13x+15
-(2x²+3x)
_______________
10x+15
We then repeat the process until we finish, and whatever's left at the top is our answer. If there's something left, that's our remainder.
_x+5_____________________
2x+3 | 2x²+13x+15
-(2x²+3x)
_______________
10x+15
- (10x+15)
_________________
0
Therefore, our base has a length of x+5.
Feel free to ask further questions, and Happy Holidays!
The y-intercept is 60 so say you start with 60 apples. And the x-intercept is 5 so lets say you eat them all in 5 days. So the equation would look somthing like this
and would end up having a word problem that says somthing like "Jimmy has 60 apples and eats 12 a day how many days go by before Jonny has no more apples ?"
In this case, to identify the secret number we must take into account the different clues to be able to identify it easily. The secret number is 103845.
<h3>How to dentify the secret number?</h3>
To identify the secret number we must take into account the following clues:
- It is an integer.
- It is multiple of three, five and seven.
- No digits occur more than once.
- The digit in the tens place is a square number.
- The digit in the hundreds place is a cube.
- The digit in the hundred thousand place is both a square and a cube.
- Only the digit in the hundreds place is larger than he digit in the ones place.
According to these clues we must analyze the choice of our numbers as shown below:
- According to the previous information, the number 1 or 4 can go in the tens place.
- According to the previous information, the number 8 goes in the hundreds place.
- According to the previous information, the number 5 goes in the place of the units.
Then we will have found 4 digits of a 6 digit number.
To find the missing numbers we must take into account the following clue:
- The missing number is a factor of 3 and must not be greater than 5.
So we can conclude that numbers divisible by 3 must add up to a number that is divisible by 3. From the above, the last unfilled digits are 0 and 3.
Finally, it can be inferred that the secret number is 103845 because it meets all the clue requirements.
Learn more about numbers in: brainly.com/question/17429689
Answer:
Hypotenuse = 12 inches
Step-by-step explanation:
As the given triangle involves an angle of 90°, this is a right angle triangle.
We an use the Pythagoras theorem to find the length of hypotenuse
So,
Hence the length of hypotenuse is 12 inches ..
Answer:
b
c
d
not sure
not sure
Step-by-step explanation:
