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2 years ago

Simplify Sqrt 3 ( sqrt 6 + sqrt 15) Pls explain how u did it!

Mathematics

1 answer:

frozen [14]2 years ago

8 0

Answer:

$= 3 (\sqrt{2} +\sqrt{5})$

Step-by-step explanation:

$\sqrt{3} (\sqrt{6}*\sqrt{15} )$

When you have to simplify an expression, always try to find a common number, even if it isnt the solution to a problem is always a good strategy.

Here the 3 numbers are multiple of 3. So your first idea should be to do something with sqrt 3

$\\ \sqrt{3} (\sqrt{2}\sqrt{3} +\sqrt{5} \sqrt{3} )\\= \sqrt{3} ((\sqrt{2} +\sqrt{5}) \sqrt{3} )\\= \sqrt{3} (\sqrt{3}) (\sqrt{2} +\sqrt{5}) \)\\= 3 (\sqrt{2} +\sqrt{5})$

In this case it works, sometimes it doesnt, but its always a good start point

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100e^0.125t=200 A. t= ln(16) B. t= ln(256) C. t= 8ln(100) D. t= 0.08ln(200)

Drupady [299]

The correct answer is C. t= 8ln(100)

Hope this helped! :)

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5 0

3 years ago

The are of the shape is __ square centimeter

tensa zangetsu [6.8K]

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=23

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to 4.

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=8

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

4 0

3 years ago

A football player punts a ball. The path of the ball can be modeled by the equation y = –0.004x2 + x + 2.5, where x is the horiz

Galina-37 [17]

The answer is 252.5 ft

y = –0.004x² + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:

–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0

a = -0.004
b = 1
c = 2.5

$x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} =\frac{-1+/- \sqrt{ 1^{2}-4*(-0.004)*2.5} }{2*(-0.004)} = \frac{-1+/- \sqrt{1+0.04} }{-0.008} = \\ 
=\frac{-1+/- \sqrt{1.04} }{-0.008} = \frac{-1+/-1.02}{-0.008}$

$x_1=\frac{-1+1.02}{-0.008} = \frac{0.02}{-0.008} = -2.5 \\ 
x_2=\frac{-1-1.02}{-0.008} = \frac{2.02}{-0.008} = 252.5$

Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft

5 0

2 years ago

Read 2 more answers

Zack has a car. He wants to sell it for 60% off the current price.the market price is $500. How much money would he receive in e

Mariana [72]

Since Zack wants to sell his car for 60% off the current price of $500, he has to multiply 0.60 (60% in decimal form) by $500, which equals $300. Now, the next step is very important. He has to subtract $500 from $300 since $300 is the amount OFF. Once he does that, he will get $200.

- Hope I helped :)

- Learning is beautiful thing and a lifelong journey.

8 0

3 years ago

Bonnie's orange was cut into eights. she ate 3/8 of the orange and her friend ate 3/8 of it. Did they eat the whole orange? expl

Georgia [21]

No they did not eat the whole thing. They are 6 out of 8 pieces of the orange. Therefore there is still 2 pieces left

5 0

2 years ago

Read 2 more answers