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3 years ago

IF YOU HELP I'LL MARK AS BRAINLIEST

Mathematics

2 answers:

svetlana [45]3 years ago

8 0

A is reflected the across y-axis and translated 4 units to the left and 2 units down

11111nata11111 [884]3 years ago

7 0

Answer:

A is reflected over the y axis and translated 2 units up and 2 units to the right.

Translate is the math word for slide

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2 years ago

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denpristay [2]

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3 years ago

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3 years ago

A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2.

IRISSAK [1]

Answer:

80 feet

Step-by-step explanation:

Given:

Initial speed of the car ( $v_0$ ) = 40 ft/sec

Deceleration of the car ( $\frac{dv}{dt}$ ) = -10 ft/sec²

Final speed of the car ( $v_x$ ) = 0 ft/sec

Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.

Now, deceleration means rate of decrease of velocity.

So, $\frac{dv}{dt}=-10\ ft/sec^2$

Negative sign means the velocity is decreasing with time.

Now, $\frac{dv}{dt}=\frac{dv}{dx}(\frac{dx}{dt})$ using chain rule of differentiation. Therefore,

$\frac{dv}{dx}\cdot\frac{dx}{dt}= -10\\\\But\ \frac{dx}{dt}=v.\ So,\\\\v\frac{dv}{dx}=-10\\\\vdv=-10dx$

Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,

$\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft$

Therefore, the car travels a distance of 80 feet before stopping.

4 0

3 years ago

At the movie theatre, child admission is $5.30 and adult admission is $8.40. On Wednesday, three times as many adult tickets as

aleksley [76]

Answer:

Step-by-step explanation:

Let x = number of child tickets sold.

Cost of x child tickets is x * 5.30 = 5.3x.

"three times as many adult tickets as child tickets were sold"

Number of adult tickets sold: 3x

Cost of 3x adult tickets is 3x * 8.40 = 25.2x

Cost of all tickets is 5.3x + 25.2x = 30.5x

Cost of all tickets is $1189.50

30.5x = 1189.5

x = 1189.5/30.5

x = 39

Answer: 39

6 0

3 years ago