IJKL is a rectangle, so opposite sides have the same length:
• IJ = KL ⇒ 6y - 6 = 2x + 20
• JK = IL ⇒ 3x + 21 = 6y
Substitute the second equation into the first and solve for x :
6y - 6 = 2x + 20
(3x + 21) - 6 = 2x + 20
3x + 15 = 2x + 20
x = 5
Solve for y :
3x + 21 = 6y
15 + 21 = 6y
36 = 6y
y = 6
Answer:
16 km is the answer
Step-by-step explanation:
a (Colton to parents' house) = 12 km
b = ?
c (parents' house to grandparents' house) = 20 km
According to the Pythagoras theorem,
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 400 - 144
b² = 256
b = 16
∴ Colton is 16 km away from his grandparents' house.
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Can you go close to the first question
A function is a relation<span> (so, it is the set of ordered pairs) that does not contain two. The </span>domain is<span> the set </span>X= {1,2,3<span>,4} and the range is the subset {a,b,c} of </span>Y<span>.</span>
