Please help !!
1 answer:
Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = = -
(2)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - x + 3 ← equation of line
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Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
Therefore, we can plug into the formula to find x:
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
We square root each side to find the variable answer for x. Then we plug in the numbers:
We find that x = 12. The answer is A. 12.
The formula for the Pythagorean Theorem is:
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
Therefore, we can plug into the formula to find x:
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
We square root each side to find the variable answer for x. Then we plug in the numbers:
We find that x = 12. The answer is A. 12.