Step-by-step explanation:
3/8 and 11/15
LCM = 30
3/8x4 and 11/15x2
12/30 and 22/30
22/30-12/30
=10/30
The difference is 10/30
The larger sum is 11/15
vous êtes les bienvenus, baisers!
Answer:
18
Step-by-step explanation:
Answer:
A. a=25
B. RCA and QBD
C. Angle PBA
Step-by-step explanation:
2a-9+5a+14=180 since they are same side interior they equal 180
combine like terms- 7a+5=180
subtract 5 from each side- 7a=175
divide 7 from each side- a=25
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Wdym by unit rate? I’m guessing u divide 40lb by $24
h(t) = -46t² + 40t + 3
We can think this graph by t being the x-axis and h being y-axis
So we want the maximum value to y.
We know by math that the vertex of a parabola is (-b/2a, -Δ/4a)
So the y value of the vertex is -Δ/4a
Let's calculate:
Δ = b² - 4.a.c
Δ = 40² - 4.(-46).3
Δ = 2152
Yvertex = -2152/4.(-46)
Yvertex = 2152/184
Yvertex = 269/23
Now we have the value of y we need to equal it to the equation
269/23 = -46t² + 40t + 3
-46t² + 40t + 3 - 269/23 = 0
-46t² + 40t - 200/23 = 0
Δ = b² - 4.a.c
Δ = 40² - 4 . -46 . (-200/23)
Δ = 1600 - 4. -46 . (-200/23)
Δ = 0
There's 1 real root.
In this case, x' = x'':
x = (-b +- √Δ)/2a
x' = (-40 + √0)/2.-46
x'' = (-40 - √0)/2.-46
x' = -40 / -92
x'' = -40 / -92
x' = 0,43478260869565216
x'' = 0,43478260869565216
So, after approximately 0,4348 seconds the balloon will reach the highest point.
B) height after 2 seconds
h(2) = -46.2² + 40.2 + 3
h(2) = -46.4 + 80 + 3
h(2) = -184 + 83
h(2) = -101
Not sure how it's possible but it would be -101.