Answer:
The curve surface area(CSA) of a cylinder is 2πrh.
Since diameter=1.5 in.
radius=diameter/2
=1.5/2 in.
=0.75 in.
And, the height of the bottle is 5 in.
Now,
CSA=2πrh
=2π*0.75*5 in^2
=15π/2 or 23.56 in^2
The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.
This is a great place and time to apply synthetic division. Since you are dividing the 3rd order poly by (a+2), let the divisor in synth. div. be -2.
Then:
_________________
-2 / 1 6 12 8
_____-2_-8 -8____________
1 4 4 0
Since there is no remainder, -2 is a root and (x+2) is a factor of the poly.
The quotient comes from those coefficinets 1 4 4
and is 1a^2 + 4a + 4, whose factors are (a+2)^2.
Answer:
{g,h} = {-9/5,32/5}
Step-by-step explanation:
h = 2g + 10
3g + (2g+10) = 1
[1] 5g = -9
5g = - 9
g = - 9/5
g = -9/
h = 2g+10
h = 2(-9/5)+10 = 32/5
{g,h} = {-9/5,32/5}
Answer:
Step-by-step explanation:
soulution:
given, 2x +2x = 16 <em>-</em> <em>2x</em> + 3y = 14
2x <em>+ 2x</em> = <em>-2y </em>+3y = 14 -16
4x = y = -2
y = 4x = -2
y = x = 4/-2
x = y = <u><em>-2 ans</em></u>
Answer:
The equation in slope-intercept form is y = x + 6
Step-by-step explanation:
For this question, we will use point slope form, where you can put in a point and a slope and get an equation of the line that passes through the point with that slope.
The point slope formula is y - y1 = m(x-x1) where y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate.
We are trying to find a line parallel to x - y = 6, so our line will have the same slope as it. To find the slope of x - y = 6, subtract x and divide by -1. This gives us y = x - 6, where the slope is 1.
Now we have all necessary information.
Plug in the values: y - 5 = 1(x + 1)
Simplify: y - 5 = x + 1
Add 5 to both sides: y = x + 6
The answer is y = x + 6
