Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
Y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0
<h3>
Answer: 35</h3>
=============================================================
Explanation:
A full circle is 360 degrees. The pie slices shown represent the various angles of each slice. Each angle expression in that diagram will add up to 360.
Doing this will help us solve for x.
(angleVQR)+(angleRQS)+(angleSQT)+(angleTQU)+(angleUQV) = 360
(21x+4) + (14x-4) + (5x+5) + (5x+5) + (80) = 360
45x+90 = 360
45x = 360-90 ... subtract 90 from both sides
45x = 270
x = 270/45 ..... divide both sides by 45
x = 6
We'll then plug this x value into the angle expression for angle TQU
angle TQU = 5x+5
angle TQU = 5*6+5
angle TQU = 35 degrees
----------
Extra info:
- angle VQR = 130 degrees
- angle RQS = 80 degrees (same as angle UQV)
- angle SQT = 35 degrees (same as angle TQU)
- Starting at angle VQR, and working clockwise, the five angles are: 130, 80, 35, 35, 80. Note that 130+80+35+35+80 = 360.
Answer:
d = 6
Step-by-step explanation:
We know that the radius is 3m and we need to find the diameter.
The formula for the diameter is d = 2r
Since the radius is 3, we can substitute r for 3.
d = 2(3)
d = 6
