Answer:
2⁴ × 3³ × 5
Step-by-step explanation:
By prime factorisation,
→ 2160 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
→ 2160 = 2⁴ × 3³ × 5
Answer:
51.69 hours (see explanation)
Step-by-step explanation:
This question is simple once you break it down:
84 boxes in 312 hours is a rate, so it can be shown in fraction form:
84 boxes / 312 hours
Now to figure out how long it takes to unpack those 192 boxes, just multiply:
192 x 84/312
(192 x 84) / 312
16128 / 312
Now, just divide the numbers:
16128 ÷ 312 = 51.69 hours
Answer:
VW=36
VT=27
Step-by-step explanation:
VW is the midsegment of the triangle
so
VW=72/2
=36
VXT is a right angle triangle
so
a²+b²=c²
a=√c²-b²
a=√45²-36²
a=√(45-36)(45+36)
a=√9×81
a=√9×√81
a=27
therefore
VT=27
y = - 4x - 2
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 4x - 5 is in this form
with slope m = - 4
• Parallel lines have equal slopes
y = - 4x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 8 + c ⇒ c = 6 - 8 = - 2
y = - 4x - 2 ← equation of parallel line
Answer:
slope = m = (0--3)/(14--4) = 3/18 = 1/6
y=mx + b
y =(1/6)x + b
0= (1/6)14 + b
b = - 14/6 = - 7/3
y = (1/6)x - 7/3
or
6y-x = -14
Step-by-step explanation:
