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Nadya [2.5K]
3 years ago
12

Factorise the following.​

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

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yulyashka [42]

Hello!

To find the amount of miles a car can drive with one gallon, divide the total miles by the amount of gallons it takes to drive that specific amount of miles.

450 miles / 18 gallons = 25 miles per gallon

Therefore, you can drive 25 miles with one gallon of gas.

4 0
3 years ago
The product of a number m and 6 is no less than 30.
Ronch [10]

Answer:

x= anything less than 5

Step-by-step explanation:

We know that 5*6 is 30, so x would have to be anything less than five.

5 0
3 years ago
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How to find an equation of the line that passes through the point(-3,-2) and is parallel to 2x=3-5y?
Cerrena [4.2K]
3-5y= 2x

-5y= 2x-3

y= (-2/5)x + 3/5

y + 2 = (-2/5)(x + 3)

y + 2 = (-2/5)x - (6/5)

y + 10/5 = (-2/5)x - 6/5

y = (-2/5)x - 16/5 is the answer
5 0
3 years ago
Point M is on line segment \overline{LN}
MissTica

Considering the relation built the presence of point M on line LN, the numerical length of LN is of 9 units.

<h3>What is the relation from the presence of point M on the line LN?</h3>

Point M splits line LN into two parts, LM and MN, hence the total length is given by:

LN = LM + MN.

From the given data, we have that:

  • LN = 2x - 5.
  • LM = 3.
  • MN = x - 1.

Hence we first solve for x.

LN = LM + MN.

2x - 5 = 3 + x - 1

x = 7.

Hence the total length is:

LN = 2x - 5 = 2 x 7 - 5 = 14 - 5 = 9 units.

More can be learned about relations and lines at brainly.com/question/2306122

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3 0
1 year ago
Write an equation in slope intercept form to model the situation.
lozanna [386]

Answer:

y=-\frac{1}{2}x + 10

Step-by-step explanation:

Slope intercept form is a way of modeling a quadratic equation, where the coefficient of the term (x) is the slope (change) of the line, and the constant is the y-intercept. In essence;( y=mx+b ), where (m) is the slope and (b) is the y-intercept.

The slope of the given line is (-\frac{1}{2}) because, this is the rate at which the candle burns, therefore, it is the change in the line. The change is (\frac{1}{2}) because this is the rate of burning, the slope is also negative since the height is decreasing. (10) is the y-intercept because it is the starting height of the candle. One will take the time since the start of burning the candle, multiply it by the slope, and add it to the y-intercept to find the current height of the candle. Therefore, the equation is (y=-\frac{1}{2}x + 10), where the output (y) is the current height of the candle, and the input (x) is the time at which the measruement was taken.

5 0
3 years ago
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