Answer:
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.
Answer:
we predict 2,587 persons will adopt dogs
Step-by-step explanation:
out of 40 persons 23 adopt dogs
Then
out of 40×25 persons 23×25 adopt dogs
Then
out of 1000 persons 575 adopt dogs
Then
out of 1000×4.5persons 575×4.5 adopt dogs
Then
out of 4,500 persons 2,587.5 adopt dogs
Method 2 :
Let x Ben the number of persons we predict they will adopt dogs:
Here we have a proportional relationship:
Then


First let's find their current ages:
Billy + 6years = Amy
Billy + Amy = 22
Combining these equations:
Billy + (Billy + 6years) = 22
2 Billy = 16
Billy = 8
Billy + 6 = Amy
8 + 6 = Amy
Amy = 14
In 8 years Billy will be 16 and Amy will be 22. The answer is d.
<h3>Answer:</h3>
x = -2
<h3>Explanation:</h3>
The line represents the output value (y) for a given input value (x). Where the lines cross, the output values are equal. These lines cross at x=-2.
Answer: 33 math problems.
Step-by-step explanation:
Let x = Number of math problems
y= Number of history problems
According to the question , we have

We can rewrite (i) as
(iii)
Now, subtract (iii) from (ii), we get

Put this in (i), we get

Hence, you have to complete 33 math problems.