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Reptile [31]
3 years ago
11

Use the distributive property to create an equivalent expression to 42 + 6x

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
8 0
I got 6(7+×).........
andrey2020 [161]3 years ago
3 0

Answer: 6(7+x) is an equivalent expression of the given expression.

Explanation: Since, given expression is 42 + 6 x -----(1)

And, In distributive property, we distribute a number (with its operation) to the numbers enclosed by a bracket.

For example if there is an expression 2(3+5) then by distribution property under multiplication we can write 2(3+5)=2×3+2×5

And reverse of this property also exists which change the the expression 2×3+2×5 to 2(3+5).

From equation (1) we can write, 42+6x= 6×7+6×x

Thus, by reverse of distributive property we can write 42+6x= 6(7+x).

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Carl got $10 and bought 10 fijit spinners each one cost 1 how much did Carl spent?
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It would be 10$ my friend
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3 years ago
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Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle
Whitepunk [10]

Answer:

(6\sqrt{3},\,\frac{5\pi}{6})

Step-by-step explanation:

The radius  r  can be found from the relationship

 r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}

See the attached image.

7 0
3 years ago
Solve for x. (x - 4)(x - 4) = 0
statuscvo [17]
I believe that x=4 would be the answer
5 0
3 years ago
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What is the length of the hypotenuse of the triangle when x=14
astra-53 [7]

The length of the hypotenuse will be equal to H=122.25 when value of x=14.

<h3>What is pythagorean theorem?</h3>

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

It is given that:

Value of x=14

The perpendicular is  =6x+5=6x14+5=89

The base is  =6x=84

So by using the Pythagorean theorem:-

H^2=P^2+B^2\\\\\\H^2=89^2+84^2\\\\\\H=\sqrt{89^2+84^2}\\\\\

Hence the value of hypotenuse will be H=122.25

To know more about the Pythagorean theorem follow

brainly.com/question/343682

#SPJ1


8 0
1 year ago
The average distance from Earth to the sun is about 9.3×10^7 miles. The average distance from Mars to the sun is about 1.4×10^8
diamong [38]

Move the decimal to the right (you go to the right since the exponent is positive, if the exponent was negative then you would move left) seven times, giving you 9,300,000 miles (for Earth). You then do the same with the next equation, giving you 140,000,000 miles (for Mars).

Finally, to find the official number of miles, you simply work the equation 140,000,000 - 9,300,000 .. giving you 130,700,000 miles.


If your teacher wants you to put it back into exponential form, then you first make the number into a decimal that is greater than one and less than ten.


1.30700000


Then, what you want to do is count all of the zeros as a single exponent, giving you 5, but we're not done yet. To get the correct answer, you have to also count the numbers until you reach the decimal. Remember to take out the zeros, because they're not really necessary anymore!


1.307×10^{8}

5 0
3 years ago
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