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3 years ago

Please help me on this

Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Angles 3 and 7 are corresponding angles. When the lines defining the base of the corresponding angles are parallel (as in this case where a is parallel to b), then the angles are equal.

That's the heavy duty definition. It just means that corresponding angles in parallel lines are equal.

So if <3 = 34 degrees, then <7 = 34 degrees.

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Answer:

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Step-by-step explanation:

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3 years ago

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A ball is dropped from a height of 600 feet. The function describing the height of the ball at t seconds after it dropped is <im

bekas [8.4K]

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

<h3>What is instantaneous and average velocities?</h3>

Instantaneous velocity is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16 $t^{2}$ + 600

a) Height at t = 0 = 600 feet

Height at t = 3 seconds = f(3) = -16 $(3)^{2}$ + 600 = 456 feet

Distance travelled = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = $\frac{df(t)}{dt}$ = $\frac{d(-16t^{2} + 600) }{dt}$ = -32t

when instantaneous velocity equal average velocity

-32t = -48

t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

Learn more about instantaneous and Average velocity: brainly.com/question/13372043

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2 years ago

Multiply polynomials

Burka [1]

Answer -2x^4 - 2x^3 + 22x^2 - 30x + 12

Here's your solution

=> (2x^2 - 4x + 2) - (x^2 + 3x - 6)

=> (2x^2 - 4x + 2) -x^2 - 3x + 6

=> firstly multiple whole with -x^2

=> -x^2(2x^2 - 4x + 2) = -2x^4 + 4x^3 - 2x^2

=> now with -3x

=> -3x(2x^2 - 4x + 2) = -6x^3 +12x^2 -6x

=> with 6

=> 6(2x^2 - 4x + 2) = 12x^2 - 24x + 12

=> now add all terms

=> -2x^4 - 2x^3 + 22x^2 - 30x + 12

hope it helps and your day will be full of happiness ^_^

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