Answer:
7, -1
Step-by-step explanation:
x^2 - 6x + 7 = 0
(x - 7)(x + 1) = 0
==> x = 7, x = -1
Answer:
7.06 x 10^(-7) ft 3
Step-by-step explanation:
We have the formula to calculate the volume of an octagonal Pyraamid as following:
<em>+) Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
As given, the base of the pyramid is an octagon with area equal to 15mm2
=> Area of the base = 15 mm2
The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.
=> Height = 4mm
So we have:
<em>Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
<em>= 1/3 * 15 * 4 = 20 mm3</em>
<em />
As: 1 mm3 = 3.53 x 10^(-8) ft 3
=> 20 mm3 = 7.06x10^(-7) ft 3
So the volume of the pyramid is : 7.06 x 10^(-7) ft 3
Step-by-step explanation:
1.
when 3 coins are flipped the following outcomes are possible
h = heads, t = tails
h h h
h h t
h t h
h t t
t h h
t h t
t t h
t t t
yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means
2×2×2 = 2³ = 8 possibilities.
2.
at least 2 tails means 2 or 3 t in the list item :
h t t
t h t
t t h
t t t
3.
so, 4 out of the 8 possible outcomes. the probability is then therefore
4/8 = 1/2 = 0.5
Answer:
B.) y=-4x-2
Step-by-step explanation:
If the line is parallel, the slope is the same
y = -4x-5 has a slope of -4, so the new line has a slope of -4
We have a slope and a point, so we can use point slope form
y-y1 = m(x-x2)
y-6 = -4(x--2)
y-6 = -4(x+2)
Distribute
y-6 =-4x -8
Add 6 to each side
y-6+6 = -4x-8+6
y = -4x-2
Answer:
6 seconds
Step-by-step explanation:
1/12 mile * 5280 feet/mile = 440 feet per train
50 miles/hour * 1/3600 hr/sec * 5280 ft/mile = 73 1/3 ft/second
one train has to travel 440 feet to pass the other train
440 feet * 1/(73 1/3) sec/ft = 6 seconds
