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2 years ago

MY TEST IS CLOSING SOON

Mathematics

2 answers:

ollegr [7]2 years ago

8 0

Answer:

A3 b1 c5 d4 e2 that would be the answers

jeka942 years ago

5 0

A3 b1 c5 d4 e2 that would be the answers

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A diver dives from a 10m springboard. the equation f(t) = -4.9t² + 4t + 10 models her height above the pool at time t. When will

Gennadij [26K]

Answer:

At time t = 0.408 sec diver will be at maximum height

Step-by-step explanation:

We have given equation of the height $f(t)=-4.9t^2+4t+9$

We know that velocity is the rate of change of distance with respect to time

So $v=\frac{df(t)}{dt}=\frac{df(-4.9t^2+4t+10)}{dt}=-9.8t+4+0=-9.8t+4$

At maximum height velocity will be zero

So $-9.8t+4=0$

t = 0.408 sec

So at time t = 0.408 sec diver will be at maximum height

5 0

3 years ago

40 POINTS!!!! Which sequence of transformations will result in an image that maps onto itself?

White raven [17]

Answer:

Option C.

Step-by-step explanation:

Let a point (x, y) has a sequence of transformations,

Option A).

Reflects across x-axis then the coordinates will be,

(x, y) → (x, -y)

Then reflects across the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets changed to (-x, -y) therefore, point (x, y) doesn't map onto itself.

Option B).

(x, y) rotate 90° counter clockwise about the origin.

(x, y) → (-y, x)

Then reflect across x-axis,

(-y, x) → (y, x)

Since coordinates of the image and the actual are not same therefore, image doesn't map itself.

Option C).

(x, y) when reflected across x-axis,

(x, y) → (x, -y)

Then reflected over the x-axis,

(x, -y) → (x, y)

In this option point (x, y) maps onto itself after these transformations.

Option D).

(x, y) rotated 90°counterclockwise about the origin

(x, y) → (-y, x)

Then translated up by 2 units.

(-y, x) → (-y, x+2)

Therefore, (x, y) gets changed after these transformations and doesn't maps itself.

Option (C) will be the answer.

7 0

3 years ago

PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P

g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667 …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17 …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

6 0

2 years ago

Can someone please help me?

AveGali [126]

Y > .5x + 2

Hope this helps

4 0

3 years ago

Which expression is equivalent to the given expression?

Studentka2010 [4]

Which expression is equivalent to the given expression?

15(12-x)

A. $15*12-x$

hope this help

4 0

3 years ago