Answer:
reflect over the y-axis, then translate (x+(-1), y + (1))
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
X (5, - 1 ) → X' (- 5, - 1 )
Y (1, 4 ) → Y' (- 1, 4 )
Z (- 8, 0 ) → Z' (8, 0 )
Answer:
Step-by-step explanation:
This is good! The length of the metal is 20 inches longer than the width. But we fold up 4-inch flaps on each side, so the height of the box is 4 inches, and the length and width will each decrease by 8 inches (4 inches on each side). Since the length and width decrease by the same amount, the length will still be 20 inches longer than the width. So the equations would be:
l = w + 20
vol = l x w x h = 1716 in3
1716 = (w + 20)(w)(4)
1716 = 4w2 + 80w
4w2 + 80w - 1716 = 0
4(w2 + 20w - 429) = 0
4(w + 33)(w - 13) = 0
w + 33 = 0, so w = -33
w - 13 = 0, so w = 13
Since the width can't be negative, the width of the box is 13 and the length is 33 (13 + 20).
But remember, the length and width of the piece of metal are each 8 inches longer than the box, so it was 41 inches by 21 inches.
Answer:
1. $48
2.$49
3.$91
4.$12
Step-by-step explanation:
For 1 and 2
To find the sale price, you find out how much is the percentage of the original price. Example :
(20/100)/60 = $12
So $12 is the discount
thus sales price will be $60-$12=$48
Same thing for no.2, find the amount of the percentage and subtract it from the original price
For 3 and 4
To find the original price
1. Subtract the percentage from 100%
2. Multiply the sales price by 100
3. Divide the ans from no.2 by ans from no.1
Example :
100%-40%=60%
$54.60×100=5460
$5460÷60%= $91 (original price)
Same thing for no.4
Hope this helps haha
