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3 years ago

(The last 22 and 23)

Mathematics

1 answer:

quester [9]3 years ago

7 0

1) 24
2) (-8)

Hope this helps

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4√6 •√3 how do I show work for this because the answer is 2√12

Yuliya22 [10]

Answer:

$4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2}$

Step-by-step explanation:

We want to simplify the radical expression:

$4 \sqrt{6} \times \sqrt{3}$

We write √6 as √(2*3).

This implies that:

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2 \times 3} \times \sqrt{3}$

We now split the radical for √(2*3) to get:

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times \sqrt{3} \times \sqrt{3}$

We obtain a perfect square at the far right.

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times (\sqrt{3} )^{2}$

This simplifies to

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times 3$

This gives us:

$4 \sqrt{6} \times \sqrt{3} = 4 \times 3 \sqrt{2}$

and finally, we have:

$4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2}$

5 0

3 years ago

Answer the attached question ASAP!!!

ch4aika [34]

The answer is A (1, -3)

6 0

2 years ago

Write the equation of the line that has a slope of 2/3 and passes through (0,-7).

likoan [24]

The equation of the line is (slope-intercept) y= $\frac{2}{3}$ x+(-7) or (standard form) $\frac{-2}{3}$ x+y=-7

6 0

4 years ago

Multiply and simplify. (x - 1)(x - 1)(x - 1)

Tanzania [10]

(sorry if it's too late and you've already figured it out, but here you go anyway)
The easiest way to do this is to start by FOILing then add.
So just start with (x-1)(x-1)
(x-1)(x-1)
Front: (x*x) = x^2
Outer: (x*-1) = -x
inner: (-1*x) = -x
Last: (-1*-1) = 1
Added: x^2 -2x +1
Now take that answer and do the same thing with (x-1). It's basically the same thing, just with an added thing you need to multiply.
(x-1)(x^2-2x+1)
(x*x^2) = x^3
(x*2x) = 2x^2
(x*1) = x
(-1*x^2) = -x^2
(-1*-2x) = 2x
(-1*1) = -1
Now add everything together:
x^3+2x^2+x-x^2+2x-1
The answer is:
x^3+x^2+3x-1

3 0

3 years ago

X:y=5:3 and x+y=56 work ouy the value of x and y

emmainna [20.7K]

Answer:

x=35, y=21

Step-by-step explanation:

A way to rewrite the first equation is $\frac{x}{y} =\frac{5}{3}$

after cross-multiplying, we get 3x=5y.

If we solve for one variable, we can substitute it into the other equation.

Let's solve for x.

3x=5y

x=(5/3)y

Now, we can substitute x=(5/3)y in the equation x+y=56.

(5/3)y+y=56

(8/3)y=56

y=21

Going back to x+y=56, we can now plug back in y, knowing that it is 21.

x+21=56

x=35.

8 0

3 years ago