The vertex of the parabola below is at the point (2,4), and the point (3,6) is

Mathematics

1 answer:

lukranit [14]3 years ago

3 0

Answer:

A. y= 2(x - 2)2 + 4

Step-by-step explanation:

vertex having an x value of 2 means the phrase in paren must be x - 2.

This eliminates B and D

vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2

plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10

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A car is traveling at when the driver sees an accident m ahead and slams on the brakes. What constant deceleration is required t

EleoNora [17]

Answer:

Deceleration = $\frac{v^2}{2a}$ units/sec^2

Step-by-step explanation:

Given that a car is traveling at when the driver sees an accident m ahead and slams on the brakes.

i.e. if he is coming with speed v units/sec say, he has to make his velocity 0.

Distance travelled = m units

Initial velocity = v

Final velocity =0

Use the third formula as

$v^2=u^2+2as\\0=v^2+2am\\a =\frac{-v^2}{2a}$

So he has to apply an acceleration of $\frac{-v^2}{2a}$ units/sec^2 to stop the car in time to avoid a pile up.

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8 0

3 years ago

The segments shown below could form a triangle?

Leni [432]

Answer:

Option B; False

Step-by-step explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

$| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False$