Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression
2 answers:
Answer:
Area = .
Step-by-step explanation:
Given : Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x – 1) to represent the length and width of her patio.
To find : Which expression represents the area (lw) of Vanessa’s patio?
Solution : We have given
Length = (3x² + 5x + 10)
Width = (x² – 3x – 1)
Area= length * width .
Area = (3x² + 5x + 10) * (x² – 3x – 1).
Area = 3x² (x² – 3x – 1) + 5x (x² – 3x – 1) + 10 (x² – 3x – 1).
Area = .
Combine like terms
Area = .
Area = .
Area = .
Therefore, Area = .
You might be interested in
Answer:
Volume=355 cm³
Step-by-step explanation:
I assume it should be 10 cm, not 10 m. If it is 10 m, everything will have to be adjusted.
Circumference = 2r
10=2r
10÷2=r
1.59=r
V=r²h
V=(1.59)(71)
v=355
Answer:
∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,
∅8=345°
Step-by-step explanation:
Data
r = 8 sin(2θ), r = 4 and r=4
iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°
according the graph 2, the cut points are:
I quadrant:
0+15° = 15°
90°-15°=75°
II quadrant:
90°+15°=105°
180°-15°=165°
III quadrant:
180°+15°=195°
270°-15°=255°
IV quadrant:
270°+15°=285°
360°-15°=345°
No intersection whit the pole (0)
Answer:
1.692 m/min
Step-by-step explanation:
Let be the angle between the two sides and x be the length of the third side. By cosine rule,
We differentiate x with respect to by applying chain rule.
Rate of change of is 2
Rate of change of x is
At 60°,