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Ray Of Light [21]
2 years ago
13

Simplify 3m/m-6 * 5m^3-30m^2/5m^2

Mathematics
2 answers:
Varvara68 [4.7K]2 years ago
3 0
-30m^3-3 here is your answer

STALIN [3.7K]2 years ago
3 0

This is your answer. If you still need it:

3m/m-6 * 5m^3-30m^2/5m^2

First you need to put the numerators and the denominators together in the same "line" or "fraction if you would say.

(3m)(5m^3-30m^2)/(m-6)(5m^2)

Then you would use the distributive property and then multiply the expressions. No dividing yet.

15m^4-90m^3/5m^3-30m^2

Now you simplify with the power of exponents rule

15m-90m/5-30

Now you normally simplify by just subtracting

-75m/-25

Then simply simplify the constants

3m (The answer is 3m because -75/-25=3 positive whole numbers always stay on top [numerator], if it were negative and still on the denominator, using power of exponent rules, you would switch it up to the numerator, or "flipping" the constant or variable)

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Factorise fully the following: <br><br> 4x^3+24x^2<br><br> 4x^2+28x^3
prohojiy [21]
I think the answer is 4x^2 (x+6)
8 0
3 years ago
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).
Hitman42 [59]
<span>The two points that are most distant from (-1,0) are exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3) approximately (0.3333333, 1.885618) and (0.3333333, -1.885618) Rewriting to express Y as a function of X, we get 4x^2 + y^2 = 4 y^2 = 4 - 4x^2 y = +/- sqrt(4 - 4x^2) So that indicates that the range of values for X is -1 to 1. Also the range of values for Y is from -2 to 2. Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis. So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So y = sqrt(4-4x^2) distance is sqrt((x + 1)^2 + sqrt(4-4x^2)^2) =sqrt(x^2 + 2x + 1 + 4 - 4x^2) =sqrt(-3x^2 + 2x + 5) And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving -3x^2 + 2x + 5 Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative. d = -3x^2 + 2x + 5 d' = -6x + 2 And set d' to 0 and solve for x, so 0 = -6x + 2 -2 = -6x 1/3 = x So the furthest point will be where X = 1/3. Calculate those points using (1) above. y = +/- sqrt(4 - 4x^2) y = +/- sqrt(4 - 4(1/3)^2) y = +/- sqrt(4 - 4(1/9)) y = +/- sqrt(4 - 4/9) y = +/- sqrt(3 5/9) y = +/- sqrt(32)/sqrt(9) y = +/- 4sqrt(2)/3 y is approximately +/- 1.885618</span>
7 0
3 years ago
The perimeter of a kite is 50 mm. The length of one of its sides is 1 mm more than twice the length of another. Find the length
rosijanka [135]

Answer:

The length of the longest side is 13mm

Step-by-step explanation:

Represent the two sides with a and b, where a is the longest

Perimeter = 50

a=b + 1

Required

Determine the length of the longest side

Perimeter of a kite is calculated as thus:

Perimeter = 2(a + b)

Make b the subject in a=b + 1

b = a -1

Substitute a - 1 for b and 50 for Perimeter in Perimeter = 2(a + b)

50 = 2(a + a - 1)

Divide through by 2

25 = a + a - 1

25 = 2a- 1

Add 1 to both sides

25 + 1 = 2a - 1 +1

25 + 1 = 2a

26 = 2a

Solve for a

a = 26/2

a = 13

<em>Hence, the length of the longest side is 13mm</em>

4 0
2 years ago
HELP I NEED HELP ASAP
anygoal [31]

Step-by-step explanation:

Pretty sure it's A. It should be the answer

3 0
3 years ago
A person that weighs 150 pounds on earth would weigh 50 pounds on mars. how much would a person that weighs 60 pounds on earth w
Schach [20]
150 lbs on Earth is equal to 50 pounds on Mars

60 lbs on Earth is equal to _____

Set up a proportion.

\frac{150}{50}  =   \frac{60}{?}
Cross multiply.

50 \times 60 = 3000
3000 \div 150 = 20
The person would weigh 20 lbs on Mars.
3 0
3 years ago
Read 2 more answers
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