Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, then
y = 3x + c ← is the partial equation
To find c substitute (1, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = 3x - 2 ← equation of line
Answer:
76017.69 mm²
631000 mm³
295045.04 mm³
Step-by-step explanation:
Surface area = bh + 2ls + lb
Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each
Height = 405 mm
The surface area of triangular = 76017.69 mm
The volume of triangular prism :
1/2 * base * height * length
Volume = 631000 mm³
If amount of chocolate inside = 335954.96 mm3
Empty space =
Volume of triangular prism - amount of chocolate inside
631000 - 335954.96
= 295045.04 mm³
For this ones the second value is always negative so A is not correct. Also they have to have an exact square root which 50 doesn't. So the answers are B and C
(a-6)(a+6)
(w-11)(w+11)
Answer:
201.06 square feet
Step-by-step explanation:
area of a circle is given by πr², where π = 3.1416
A = 3.1416 * 8²
A = 3.1416 * 64 = 201.0624 square feet
A = 201.06 square feet
Step-by-step explanation:
5x + 80 = 180
x = 20
2x = 40
3x=60
7x=140