Answer:
(10, - 9 )
Step-by-step explanation:
Given the 2 equations
y = - 2x + 11 → (1)
y = - 3x + 21 → (2)
Substitute y = - 2x + 11 into (2)
- 2x + 11 = - 3x + 21 ( add 3x to both sides )
x + 11 = 21 ( subtract 11 from both sides )
x = 10
Substitute x = 10 into either of the 2 equations and evaluate fir y
Substituting into (1)
y = - 2(10) + 11 = - 20 + 11 = - 9
solution is (10, - 9 )
It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet
The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.
In an hour there are 3600 seconds, then in 0.000114583 hours will be:
It will take 0.4 seconds to get to the home plate.
Learn more about conversions here:
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Answer:69.52
Step-by-step explanation:First set up a proportion which is basically a fraction.To set it up first you must put two fractions together with an equals sign in between both fractions.Then add the whole on the denominator to the left then an x for the one above the whole cause were looking for a part.Then add the percent to the top right which in this case is 7.75 then 100 as the denominator cause it represents a whole.Then when looking for a part multiply Denominator on left which in this case is 896.99 then multiply it by the percent 7.75 which should give you 6951.6725 then divide by 100 which is 69.516725 then round which is 69.52.
It grows 1.68m because 0.14m times 12
Call the number : x
(1/3)x + 5 = x-6
=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6
=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.
Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2
33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)
