What is the value of the expression (x – y 2 when x = 5 and y = –1 ?
1 answer:
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Answer:
294 cars.
Step-by-step explanation:
Let x be the number of cars and y be the number of trucks.
We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:
The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.
Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:
We can see that total number of cars sold on two dealerships will be .
We will use substitution method to solve for x. From equation (1) we will get,
Substituting this value in equation (2) we will get,
Now let us have a common denominator.
Upon multiplying both sides of our equation by 2 we will get,
Therefore, the total number of cars sold by two dealerships is 294.
Answer:
The perimeter of the pentagon is;
29 units
Step-by-step explanation:
Let A, B, C, D, and E represent the vertices of the pentagon
The "x" and "y" coordinates of the vertices of the pentagon are given as follows;
A(-6, 2), B(-2, -2), C(5, -2), D(5, 2), E(-2, 5)
The length of the sides between each pair of coordinates can be found using the following formula;
Therefore, we have;
Length of segment AB = √((-2 - (2))² + (-2 - (-6))²) = 4·√2
Length of segment BC = √((-2 - (-2))² + (5 - (-2))²) = 7
Length of segment CD = √((5 - 5)² + (2 - (-2))²) = 4
Length of segment DE = √((5 - 2)² + (-2 - 5)²) = √58
Length of segment EA = √((5 - (2))² + (-2 - (-6))²) = 5
The length of the perimeter of the pentagon = 5+√58 + 4 + 7 + 4·√2 ≈ 29.2726273554 ≈ 29
The length of the perimeter of the pentagon ≈ 29.
