Determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored f
1 answer:
Answer:
see image...
start with Graphing Form: y = a(x-h)²+ k
knowing that h is the x value (negative of it) of the vertex , and k is the y value of the vertex
Graphing Form Equation: y = a(x+3)²+32
you are also given that when the x value is 5 the y value has to be 0
0 = a(4)^2 + 32
a has to be - 1/2
Step-by-step explanation:
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Answer:
yes
Step-by-step explanation:
Answer:
The Distance cover by both the Runners is same = 10 miles
Step-by-step explanation:
According to question ,
The Speed of first runners (S 1) = 5 miles per hour
The speed of second runners (S 2) = 4 miles per hour
Let The Time taken by First runner (T 1 ) = T hour
But the second runner arrives half hour after the first runner ,
I.e The Time taken by Second runner (T 2) = ( T + )
Now from Distance = Speed × Time
Since both the runners start from same place and run along the same trail
SO ,Both the Distance cover by both are same , D 1 = D 2
i.e Speed 1 × Time 1 = Speed 2 × Time 2
5 mph × T = 4 mph × ( T + )
5 T = 4 T + ( 4 × )
Or, 5 T - 4 T = 2
∴ T = 2 hour ,
Time take by first = T1 = T = 2 hour
Time take by second = T2 = T + = (2 +
)hour =
Now the Distance cover = Speed × Time
Distance (D1) = 5 mph × 2 hour = 10 mile
And Distance (D2) = 4 mph × = 10 miles
Hence, As The Distance cover by both the Runners is same = 10 miles Answer