Answer:
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Step-by-step explanation:
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Answer: each boy had $2.5 left after buying his ticket.
Step-by-step explanation:
Miguel and three of his friends went to the movies. They originally had a total of $40. If each boy had the same amount of money, it means that the amount that each boy( 4 boys in total) has is 40/4 = $10
Let x represent the amount of money that each boy had left after buying his ticket. If each boy spent $7.50 on a ticket, then the equation becomes
x + 7.5 = 10
Subtracting 7.5 from the left hand side and the right hand side of the equation, it becomes
x = 10 - 7.5 = 2.5
Answer:
Step-by-step explanation:
The vertex form of a parabola:
(h, k) - vertex
We have the vertex at (3, 2) → h = 3 and k = 2.
Substitute:
The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:
<em>subtract 2 from both sides</em>
Finally:
<em>vertex form</em>
<em>use (a - b)² = a² - 2ab + b²</em>
<em>use the distributive property</em>
<em>standard form</em>
Answer:
4
Step-by-step explanation:
Divide the total area by the area of a rug to find the number of rugs.
The total area is 36 m²
The area of a rug is 9m²
36m² ÷ 9m² = 4
Therefore 4 rugs are needed to cover an area of 36 square metres.
