9514 1404 393
Answer:
- x² = y + 16
- 4y - 1 = 7x
- (5, 9)
Step-by-step explanation:
Writing equations from words is mostly a matter of understanding what the English words mean.
If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:
x² = y + 16 . . . . the first equation
The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...
4y -1
This is equal to the first number (x) multiplied by 7, so ...
4y -1 = 7x . . . . the second equation
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These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...
(x, y) = (5, 9)
First, it is important to know that speed is equal to distance divided by time. I took a picture of my work. Let me know if you still have questions or cannot read something I've written. Thank you!
The most Kilometers traveled per one hour was traveled by THE BOAT at 75 Km/h. Therefore, the boat had the fastestaverage speed.
First you need to find the area of the whole circle.
The radius is given as 10, so just insert 10 into the equation of the area of a circle equation.
Putting
after the 100 because that is what is commonly done.
Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections.
Since the area of the whole circle is
then we just divide that by 4,
leaving us with 25
and that is our final answer
The answer is 17/k because there is no exact way to divide so 17/k is the quotient. :)
Answer:
61
Step-by-step explanation:
If you want only the middle number, then call it x
the largest of the 3 is x + 1
The smallest of the 3 is x - 1
Add
x + 1 + x - 1 + x = 183 Cancel the 1s out.
x + x + x = 183 Combine the like terms on the left
3x = 183 Divide by 3
x = 183/3 Do the division
x = 61
The middle number is 61
