Answer:
a = -4
b = 3
c = 6
Step-by-step explanation:
x^2 + 8x = 38
We take the coefficient of the x term
Divide by 2 and then square it
8/2 =4
4^2 = 16
Add 16 to both sides
x^2 +8x + 16 = 38 + 16
x^2 +8x +16 = 54
Take b/2 and use it in the the (x+b/2)^2
(x+4)^2 = 54
Take the square root of each side
sqrt((x+4)^2) = ± sqrt(54)
x+4 = ± sqrt(54)
Subtract 4 from each side
x+4-4 = -4 ± sqrt(54)
x = -4 ± sqrt(54)
Simplify the square root
x = -4 ± sqrt(9*6)
x = -4 ± sqrt(9) sqrt(6)
x = -4 ± 3 sqrt(6)
Answer:

Step-by-step explanation:
Area of square= l×l
Area of square= 6mm × 6mn
Area if square = 36 mm²
Area of triangle 1= ½b ×h
Area of triangle 1= ½ (6mm)(8mm)
Area of triangle 1 = 24 mm²
Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight
: . area of triangles is 48mm²
Area of the figure= Area of square + Area of triangles
A of figure = 36+48
A of figure = 84 mm²
Option 2
Use trapezium formula
Area of trapezium= (a+b)/2 * h
a=6 mm (base)
b=8+6=14 mm (Base)
h= 6mm (height)

Therefore the area of triangle= 24mm² as calculated in option 1
Area of the figure= Area of trapezium +Area of triangle
Area of figure = 60+24
= 84 mm²
Answer:
D
Step-by-step explanation:
Congruent angles are identical in number of degrees.
Answer:
272 cups
Step-by-step explanation:
so you need 34 cups for one batch if you need to make 8 batches then you would need to multiple them to find the answer.
34*8=272
Answer: 
Step-by-step explanation:
You need to analize the information given in the exercise.
In this case you know that the List price is:

And, based on the data given, you also know that the Trade discount is:

Then, the first step you need to apply is to multiply the List price by the Trade discount, as you can observe below:

Now it is important to remember that, by definition, the Net cost can be found by subtracting the List price (which in this case is $74.13) and the product of the List price and the Trade discount (which in this case is $24.71).
Then, through this procedure, you get the following Net cost:
