Answer:
32.625 m
Step-by-step explanation:
You have the proportion ...
18 cm : ___ m = 22.4 cm : 40.6 m
This can be rearranged to ...
___ m/(18 cm) = (40.6 m)/(22.4 cm)
Multiplying by 18 cm gives ...
___ m = (40.6 m)·(18/22.4)
___ m = 32.625 m
Answer:
Positive ; Positive
Step-by-step explanation:
Since there's a modulus, negative values also become positive
The y-intercept which is the point at which x = 0 is; A: -10
<h3>How to find the y-intercept?</h3>
The general form of an equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are given the slope;
m = -4
Now, the line passes through the point 0, -10. Thus;
(y - y1)/(x - x1) = -4
(y + 10)/(x - 0) = -4
y + 10 = -4x
y = -4x - 10
Thus, the y-intercept which is the point at which x = 0 is; y = -10
Read more about y-intercept at; brainly.com/question/1884491
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Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
Pythagorean Theorem: If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse. Alternatively, x^2 + y^2 = r^2.
The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order. Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).
Performing the indicated operations, we get:
4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1. Simplify this first by combining like terms:
20x^2 - 16x = 16x^2, or
4x^2 - 16x = 0, or
4x(x - 4) = 0. Thus, x = 0 (which makes no sense here) or x = 4.
The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1. Substituting 4 for x, we get
P = 8 + 16 - 1 + 16 + 1, or 40.
The perimeter of the triangle is 40.
