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kondaur [170]
3 years ago
6

Take a factor out of the square root √(48x^2) , where x≤0

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

The expression \sqrt{48x^2} can be simplified,

\sqrt{48x^2}=\sqrt{48}\sqrt{x^2}=x\sqrt{3\cdot4^2}=4x\sqrt{3}.

Hope this helps.

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-8(2x +x )/-2y , if x=-5, y=2 and z=0
Masteriza [31]

Answer:

<h3>              -8(2x +x )/-2y  = - 30</h3>

Step-by-step explanation:

x=-5, y=2 and z=0

-8(2x +x )/-2y =(-8•3x)/-2y = [-8•3(-5)] / (-2•2) = 120/(-4) =-30

5 0
4 years ago
Which of the diagram below represents the statement "if it is not a gorilla, then it is not an ape.
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The answer would be Figure B.
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3 years ago
What do you subtract from -3 td get positive 4?*
kogti [31]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas
OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years

Therefore, the population of the city in 13 years time will be:

P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951

The population be at that time will be approximately 1,474,951.

3 0
4 years ago
the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.
laila [671]

The perimeter of a rectangle is <u>length + length + width + width</u>.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation:  (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w         (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

3 + 2w - 3 = 2w

which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

l = 26cm.

Let's check our answer.  26cm is 3cm more than 23cm.  26cm + 26cm + 23cm + 23cm gives us 98cm.  The length is 26cm and the width is 23cm.


7 0
3 years ago
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