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3 years ago

9

Which term is a perfect square of the root 3x4?

2 answers:

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:8

85 your welcome

Step-by-step explanation:

hodyreva [135]3 years ago

3 0

Answer:

85

Step-by-step explanation:

because eight plus five is 85

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Helppppppppppp pleaseeeeeee!

bazaltina [42]

Answer:

the second one

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A landing pad for a helicopter is in the shape of a circle with a radius of 7 meters. Which of the following is closest to the a

ANTONII [103]

Answer:

The approximate value of the area is $153.86\ m^{2}$

Step-by-step explanation:

we know that

The area of the circle (landing pad) is equal to

$A=\pi r^{2}$

we have

$r=7\ m$

substitute

$A=\pi (7)^{2}$

$A=49\pi\ m^{2}$ ----> exact value of the area

Find the approximate value

assume $\pi=3.14$

$A=49(3.14)=153.86\ m^{2}$ ------> approximate value of the area

5 0

3 years ago

Read 2 more answers

Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)

ELEN [110]

Question:

Find the point (,) on the curve $y = \sqrt x$ that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

Step-by-step explanation:

$y = \sqrt x$ can be represented as: $(x,y)$

Substitute $\sqrt x$ for $y$

$(x,y) = (x,\sqrt x)$

So, next:

Calculate the distance between $(x,\sqrt x)$ and $(3,0)$

Distance is calculated as:

$d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}$

So:

$d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}$

$d = \sqrt{(x-3)^2 + (\sqrt x)^2}$

Evaluate all exponents

$d = \sqrt{x^2 - 6x +9 + x}$

Rewrite as:

$d = \sqrt{x^2 + x- 6x +9 }$

$d = \sqrt{x^2 - 5x +9 }$

Differentiate using chain rule:

Let

$u = x^2 - 5x +9$

$\frac{du}{dx} = 2x - 5$

So:

$d = \sqrt u$

$d = u^\frac{1}{2}$

$\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}$

Chain Rule:

$d' = \frac{du}{dx} * \frac{dd}{du}$

$d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}$

$d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}$

$d' = \frac{2x - 5}{2\sqrt u}$

Substitute: $u = x^2 - 5x +9$

$d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}$

Next, is to minimize (by equating d' to 0)

$\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0$

Cross Multiply

$2x - 5 = 0$

Solve for x

$2x =5$

$x = \frac{5}{2}$

Substitute $x = \frac{5}{2}$ in $y = \sqrt x$

$y = \sqrt{\frac{5}{2}}$

Split

$y = \frac{\sqrt 5}{\sqrt 2}$

Rationalize

$y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$y = \frac{\sqrt {10}}{\sqrt 4}$

$y = \frac{\sqrt {10}}{2}$

Hence:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

3 0

3 years ago

Which shows the ratio 16 : 100 as a fraction in simplified form?

Alika [10]

Answer:

16 : 100 = 8 : 50 = 4 : 25

Step-by-step explanation:

You just half each side by the same number

7 0

3 years ago

Claire has 5 more pencils then her friend Stan. Claire has 18 pencils. how many does stan have ?

Tcecarenko [31]

Answer:

Stan has 13 pencils.

Step-by-step explanation:

s+5=18

-5 -5

s=13

Hope this helps! ;)

<em>(plz mark me as brainliest?)</em>

<em>(u don't have to)</em>

8 0

3 years ago