The map of a biking trail is drawn on a coordinate grid.
2 answers:
<h2>Answer:</h2>
The total length (in units) of the biking trail is:
10 units.
<h2>Step-by-step explanation:</h2>We know that the distance between two points A(a,b) and B(a',b') is calculated by using the distance formula:
It is given that:
The trail starts at P(−2, 2) and goes to Q(5, 2).
This means that the distance traveled in this trail is:
and
The other trail goes from Q to R(5, −5) and then to S(8, −5).
i.e.
the distance traveled is:
Hence, the total length of the biking trail is:
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Hello!
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4