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3 years ago

Use the number line below, where RS = 6y +3, ST = 4y +9, and RT = 72.

Mathematics

1 answer:

timurjin [86]3 years ago

7 0

Answer:

a. 6y +3 +4y +9= 72

6y+4y+3+9=72

10y+12=72

10y=72-12

10y=60

10y/10= 60/10

y=6

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Day X = 33; Day Y = 44. What is the percent change from day X to day Y?

Serhud [2]

Answer: 33.3% increase, pretty sure

Step-by-step explanation: Big number- Small number, and then divided by the first number: 44-33=11. 11 divided by 33 ( original) is 0.3333, and then change the decimal to a percent, which is 33.3%.

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3 years ago

The perimeter of a triangle is 27. Each side of the triangle has length 2x-3. What is the value of x?

Bezzdna [24]

Answer:

x=6

Step-by-step explanation:

To find the perimeter of the triangle you need to add up all the sides, so if all the sides are 2x-3 the equation will look like this;

2x-3+2x-3+2x-3=27

which when combining like terms will leave it to be;

6x-9=27

Than move all the factors besides x over to the right side;

6x-9+9=27+9

6x = 36

6x/6 = 36/6

x = 6

so your answer will be x=6

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3 years ago

Which expression is equivalent to (x^1/2y^16)^1/2

Irina-Kira [14]

Xy^16 / 4

I don't really know how to explain it, but this is the answer

5 0

4 years ago

How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the

miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

$\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}$

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$\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}$

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$\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}$

Neither solution makes any denominator be zero, so both are good solutions.

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3 years ago

Radio signals travel at a rate of 3 × 108 meters per second. How many seconds will it take for a radio signal to travel from a s

blondinia [14]

The time taken for radio signal to the earth's surface we shall proceed as follows;
time=(distance)/(speed)
Distance=7.5×10^6 meters
speed=3×10^8 meters/second
therefore:
Time=(7.5×10^6)/(3×10^8)=0.025 seconds
We conclude that it will take the signal 0.025 seconds to reach the surface of the earth.

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3 years ago