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alex41 [277]
2 years ago
13

What is 2√20 - 4√45 + 7√12 in simplest radical form? Show your work!

Mathematics
1 answer:
posledela2 years ago
8 0

Answer:

14\sqrt{3}-8\sqrt{5}

Step-by-step explanation:

we have

2\sqrt{20}-4\sqrt{45}+7\sqrt{12}

we know that

2\sqrt{20}=2\sqrt{2^{2}5} =2(2)\sqrt{5}=4\sqrt{5}

4\sqrt{45}=4\sqrt{3^{2}5} =4(3)\sqrt{5}=12\sqrt{5}

7\sqrt{12}=7\sqrt{2^{2}3} =7(2)\sqrt{3}=14\sqrt{3}

substitute the values in the expression above

4\sqrt{5}-12\sqrt{5}+14\sqrt{3}

Combine like terms

14\sqrt{3}-8\sqrt{5}

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Please help me I have a test tomorrow
yarga [219]

#5 is very nicely and correctly done.

#7 says: "No matter what X may be, this function of it is always 9 more than 1/2 of X .".

That's a very powerful statement. Now you know that if X is ever 2, the function will be 1/2(2)+9 which is 10.

If X is ever zero, the function will be 1/2(0)+9 which is 9. If X is ever a cow, the function will be 1/2 of a cow, plus the number 9. Which makes no sense, but that's what the function says.

So, when X is -8, the function is 1/2 of -8, plus 9. Which is 5 ... the 'f' of -8.

Whatever X happens to be at the moment, just write that number in place of X in the function, and it'll show you the function of what X is.

f(a bazillion) = 1/2(a bazillion) + 9 .

f(a-28) = 1/2(a-28) + 9 (but simplify it)

7 0
3 years ago
How to find end behavior on a graph?​
Tanya [424]
It’s on like the side if I was home I would show my hw has the same answer/problem simple
6 0
3 years ago
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is
dimulka [17.4K]

Answer:

  • 3/8 in/ft
  • 1/32 . . . (pure number, no units)

Step-by-step explanation:

The ratio can be expressed directly as ...

... (6 in)/(16 ft) = 3/8 in/ft

This can be read or used in different ways:

  • 3/8 in = 1 ft
  • 3 in = 8 ft

Or, the units can be made compatible and the ratio expressed as a pure number.

... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32

This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.

4 0
3 years ago
The win-loss record for a football team is 15 wins and 9 losses. What percent of their games did they win?
Burka [1]

Answer:

62.5%

Step-by-step explanation:

To find percentage of win, we simply need to find the number of games won and divide it by the total number of games played. Then we will multiply that answer by 100 (to get percentage).

So,

Number of games won = 15

Total number of games = 15 + 9 = 24

Percentage of Win = \frac{15}{24}=0.625=62.5

Answer is 62.5%

6 0
3 years ago
Please help me thank you!
sergiy2304 [10]

Answer:

The equation of the line that passes through the points

(5,2) and (-5,6)

is

y=-2/5x+4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(5,2) and (-5,6).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=2.

Also, let's call the second point you gave, (-5,6), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-5 and y2=6.

Now, just plug the numbers into the formula for m above, like this:

m= 6 - 2/-5 - 5 or m= 4-10 or m=-2/5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-2/5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(5,2). When x of the line is 5, y of the line must be 2.

(-5,6). When x of the line is -5, y of the line must be 6.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-2/5x+b. b is what we want, the -2/5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,2) and (-5,6).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(5,2). y=mx+b or 2=-2/5 × 5+b, or solving for b: b=2-(-2/5)(5). b=4.

(-5,6). y=mx+b or 6=-2/5 × -5+b, or solving for b: b=6-(-2/5)(-5). b=4.

3 0
2 years ago
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