Answer:
Step-by-step explanation:
Hi there!
We are given the absolute value equation:
5-8|-2x|=-80
We want to solve it for x
First, let's make sure that ONLY the absolute value equation is on the left side
So subtract 5 from both sides
-8|-2x|=-85
Now divide both sides by -8
|-2x|=85/8
Now, for an absolute value equation, we can split it up into two parts, as |x| can be equal to both x and -x
In this case, |-2x| can equal to 85/8, but it can also equal -85/8
That's why for absolute value, there are always 2 cases
For the first case, if |-2x| is equal to 85/8:
Note: we open up the absolute value when we are solving a case, as it is one of the possiblities that can happen for the equation. So it would be true.
-2x=85/8
Divide both sides by -2
x=-85/16
In the second case, if -2x is equal to -85/8:
-2x=-85/8
Divide both sides by -2
x=85/16
So the answers are
Hope this helps!
Answer:
8.4 (rounded to 1 dp)
Step-by-step explanation:
1) Identify the number of angles and sides given if you cannot use Pythagoras or SohCahToa.
2) You have 2 angles and 1 side, so you know you must use sine rule: <em>a </em>over sinA =<em> b </em>over sinB
<em>a</em> = side length, sin(A) = angle opposite side
<em>b</em> = side length, sin(B) = angle opposite side
3) This means:
13/sin(90) = x/sin(40)
4) rearrange for x:
x = 13/sin(90) * sin(40)
= 8.356...
5) Round to however many sig figs/dps they're asking for
Example: 1 dp
AB = 8.4
3 sig figs
AB = 8.36
Here are the coordinates, mark the ones on the left as x, and the ones on the right as y, but make sure they are lined up with each other: (-2, 11), (-1, 6), (0, 3), (1, 2), (2, 3), (3, 6). Then plot the points on the graph and connect them.
Of what?????? Need more info
Answer:
SA = 251.33 yd ^2
V = 301.59 yd ^3
Step-by-step explanation:
Right cylinder 2π = 6.28318530718
Solve for surface area
A =2πrh+2πr2 = 24 x 2π + 2π x 16
A =150.796447372 + 100.530964915
A ≈251.33 yd^2
Right cylinder π = 3.14159265359
Solve for volume
V = πr2h = 16 x 6 = 96π
V = 3.14159265359 x 96
V = 301.592894745
V= 301.59 yd ^3
