3 years ago

Find the distance between the points (4, 7) and (2, 2)

Mathematics

1 answer:

ch4aika [34]3 years ago

5 0

Answer:

5.38516

Step-by-step explanation:

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Alex17521 [72]

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3 years ago

The area of a square painting is 81p^2+90p+25 what is the side length of the paining

IgorLugansk [536]

81p²+90p+25=(9p)²+2*9p*5+5²=(9p+5)²
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3 years ago

(x2 – 2x – 2)(3x2 - 4x +4)

Anvisha [2.4K]

Answer:

10-4x

Step-by-step explanation:

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3 years ago

Read 2 more answers

A rocket is shot straight into the air at an initial velocity of 70 feet/second.

DanielleElmas [232]

Answer: 245 feet

Step-by-step explanation:

Given: The height of the rocket after t seconds is represented by the formula:

$h=70t-5t^2$

$\dfrac{dh}{dt}=70-10t$ [Differentiate both sides w.r.t. t]

Put

$\dfrac{dh}{dt}=0\\\\\Rightarrow\ 70-10t=0\\\\\Rightarrow\ t=\dfrac{70}{10}=7$

Also, $\dfrac{d^2h}{dt^2}=-10$ i.e. height is maximum at t=7.

Maximum height = $h=70(7)-5(7)^2 = 490 - 245= 245\text{ feet}$

Hence, the maximum height the rocket reaches = 245 feet.

3 0

3 years ago

What is the product of 3*the square root of 6 and 5*the square root of 12 in simplest radical form

ira [324]

√
6
⋅
√
15
=
3
√
10

Explanation: By radical laws,
√
a
⋅
√
b
=
√
a
b
.
Using this law:
√6⋅√15
=√90

√90 has 9, a perfect square, as one of its factors, so it can be simplified.
√90
=√9⋅10
=√9⋅√10

=3√10

8 0

3 years ago