Answer:
- x < 2.5
- x > 2.5
Step-by-step explanation:
One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.
<h3>1.</h3>
For x=0, you have ...
5 > -5 . . . . . true; the solution space is x < 2.5
__
<h3>2.</h3>
For x=0, you have ...
-25 > -5(2.5)
-25 > -12.5 . . . . . false; the solution space is x > 2.5
_____
<em>Alternate solution</em>
<h3>1.</h3>
Subtract 5:
-4x > -10
Divide by -4
x < 2.5
__
<h3>2.</h3>
Divide by -5:
5 < x +2.5
Subtract 2.5
2.5 < x
x > 2.5
<u>Given</u>:
Given that the radius of the cylinder is 4 cm.
The height of the cylinder is 9 cm.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
where r is the radius and h is the height of the cylinder.
Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;
Thus, the volume of the cylinder is 452.16 cm³
Hence, Option B is the correct answer.
Answer:
- parallelogram
- x = 5
- 60 units
Step-by-step explanation:
A. Opposite sides are the same length, so the figure is a parallelogram.
__
B. Diagonals of a parallelogram cross at their midpoints, so ...
9x +3 = 10x -2
5 = x . . . . . . . . add 2-9x to both sides
__
C. The longer side is 12x = 12(5) = 60 . . . . units
Line perpendicular to a given line is = 1/m
To find m, use m =y2-y1/x2-x1 formula
m = (8-(-3))/(-7-4)
m = 11/-11,
m = -1
Use y= mx+c to find equation of line
Plug in a pair of values,
-3= -1(4)+ c
c= 1
Thus, equation is:
y = -x+1
Equation of line perpendicular to this line is:
y= x+1
Hope it helps :)
Pls mark it as Brainliest :)
Answer:
1.75
c
+
2.25
a
=
1083.00
now we still know, that
a
=
508
−
c
so we can substitute it into the second formula
1.75
c
+
2.25
(
508
−
c
)
=
1083
now its just simple algebra
1.75
c
+
1143
−
2.25
c
=
1083
60
=
0.5
c
so:
c
=
120
Step-by-step explanation:
