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3 years ago

What is the completely factored form of of this polynomial 81x^4 - 16y^4

Mathematics

1 answer:

Tasya [4]3 years ago

5 0

Step-by-step explanation:

81x⁴ - 16y⁴

(9x²)² - (4y²)²

(9x² + 4y²)(9x² - 4y²)

(9x² + 4y²)(3x + 2y)(3x - 2y)

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How many milliliters are in 4 liters? 40,000 mL 400 mL 40 mL 4,000 mL

Vikki [24]

Answer:

4000 mL

Step-by-step explanation:

there are 1000 millilitres in 1 liter

in 4 liters there would be 1000 * 4 = 4000 millilitres

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3 years ago

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Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed:

katrin [286]

Answer: D. Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Took the test.

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3 years ago

PLEASE HELP

adell [148]

We know that
in a right triangle
Applying the Pythagoras Theorem
c²=a²+b²

in this problem
c=√87 yd
a=√23 yd
b=?
so
b²=c²-a²-----> b²=(√87)²-(√23)²----> b²=87-23----> b²=64----> b=8 yd

the answer is
8 yd

4 0

3 years ago

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If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal of the other, find the value of a.

mihalych1998 [28]

Answer: a^2x^2+9x^2+13x+6a

Step-by-step explanation:

(a^2+9) x^2+ 13x +6a

x^2(a^2+9)+13x+6a

Expand:x^2(a^2+9): a^2 x^2+9^2

x^2 a^2 +x^2*9

a^2 x^2+9x^2

a^2 x^2+9x^2+13x+6a

5 0

3 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

3 years ago

What is the completely factored form of of this polynomial 81x^4 - 16y^4​

What is the completely factored form of of this polynomial 81x^4 - 16y^4