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).
Hello!
In order to find how many boys there are in the class simply subtract 67 from 146:
146-67= 79
There are 79 boys in the class
I hope it helps!
Answer:
I will try:
Step-by-step explanation:
Note: ∈ means 'belongs to the set of' and <em>R</em> is 'the set of all real numbers'
Inequality:
- Domain is: x ∈ <em>R</em>
- Range is: x ≥ -2
Set:
-Domain is: {x| x ∈ <em>R</em>}
- Range is: {y| y ≥ -2}
Interval:
- Domain is: (-∞,∞)
- Range is: [-2, ∞)
g(x) is stretched by a factor of 4 and translated 2 units down.
Answer:
9(2p-4)
Step-by-step explanation:
Took the test, Hopefully this helps
Answer:
C
Step-by-step explanation:
the quadratic formula is

Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.