Flat doesn't change
2 changes with x
y=2x+5
yint is 5
to graph
start at center and go 5 up, that is y intercept
go 1 right and 2 up, that is another point
y=2(2)+5
y=4+5
y=9
cost $9 to rent for 2 hours
<em>Question:</em>
The area of the kite is 48 cm². What are the lengths of the diagonals PR and QS?
________
<em>Solution:</em>
You can split the kite into two isosceles triangles: PSR and PQR.
Assume that both diagonals intersect each other at the point O.
• Area of the triangle PSR:
m(PR) · m(OS)
A₁ = ————————
2
(x + x) · x
A₁ = ——————
2
2x · x
A₁ = ————
2
A₁ = x² (i)
• Area of the triangle PQR:
m(PR) · m(PQ)
A₂ = ————————
2
(x + x) · 2x
A₂ = ——————
2
2x · 2x
A₂ = ————
2
4x²
A₂ = ———
2
A₂ = 2x² (ii)
So the total area of the kite is
A = A₁ + A₂ = 48
Then,
x² + 2x² = 48
3x² = 48
48
x² = ———
3
x² = 16
x = √16
x = 4 cm
• Length of the diagonal PR:
m(PR) = x + x
m(PR) = 2x
m(PR) = 2 · 4
m(PR) = 8 cm
<span>• </span>Length of the diagonal SQ:
m(SQ) = x + 2x
m(SQ) = 3x
m(SQ) = 3 · 4
m(SQ) = 12 cm
I hope this helps. =)
Tags: <em>polygon area triangle plane geometry</em>
Answer:
50º
Step-by-step explanation:
Angle D & B are vertical angles, meaning they are equal in measure.
So if Angle B = 50º, then Angle D must also be 50º.
Hope this helps! Have a great day!
Answer:
786.384
Step-by-step explanation: To get this answer, what I did is that I multiplied 3 times 12 (because that's how many inched are in a yard). Then I multiplied 36 times 2.54 to get 91.44. Then I multiplied 91.44 times 8.6 to get 786.384.
Gotchu my dude
Cone - v=1/3Bh
Cylinder- v=Bh
Triangular prism - v=1/3AH (where A is the triangle base) h is the height of the pyramid
Rectangular prism- v=whl
Pyramid-lwh
I rlly hope this helps and try to match them i know mine are different