Answer:
Step-by-step explanation:
If on the coordinate map, ice cream is located at the point (-8,0) and sprinkles are located at the point (-8,6), we can find the distance between the coordinate points using the formula;
D = √(x2-x1)²+(y2-y1)²
Given
x1 = -8, y1 = 0, x2 = -8 and y2 = 6
Substitute
D = √(x2-x1)²+(y2-y1)²
D = √(-8-(-8))²+(6-0)²
D = √0²+6²
D = √36
D = 6units
Hence the distance between the coordinate points is 6units
Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer: Angles ABD and BAD (B)
Step-by-step explanation: Angles ABD BAD are not congruent angles, since they are the same angles.
Congruent angles are angles that both measure the same in degrees.
In this case, B is your correct answer since that answer has the same angle and not comparing any 2 angles, just the same one.
Hope This Helped, Have A Great Day!
<em>x = 8</em>
Step-by-step explanation:

Add 1 to both sides.

Add 2x to both sides.

Divide 40 by 5.
x = 8
Answer:
$8.80
Step-by-step explanation:
In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:
1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.
2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.
If you don't understand how the second way works or your teacher taught you #1, just do it the first way.