if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to
right?
1 answer:
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You're on the right track! Now that you have drawn a right triangle with the hypotenuse as the segment from Joe's home to the Park, we can use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are.
2 - (-1) = 3
3 - 1 = 2
Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
=
= c
The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.
Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are.
2 - (-1) = 3
3 - 1 = 2
Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
=
The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.
Given:
a.) The population of Arizona is estimated to increase by 6.2% every year.
b.) The population was 4.18 million in 2016.
For us to be able to determine the population in 2022, we will be using the following formula:
Where,
P = Total population after time (t)
P₀ = Starting population = 4.18 million
r = Growth rate (in decimal form) = 6.2%/100 = 0.062
t = time (in years) = 2022 - 2016 = 6 years
e = Euler's number = 2.71828182845
We get,
Therefore, the population in 2022 will be approximately 6,063,646.