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2 years ago

Select the polynomials that are a difference of squares.

Mathematics

1 answer:

Rudik [331]2 years ago

6 0

Answer:

$y^4-2\\\\16x^2-24$

Step-by-step explanation:

$Difference \ of \ squares:\ a^{2}-b^{2}=(a+b)(a-b)$

$y^4-2\\\\25m^2n^4-1\\\\p^8-q^4\\\\16x^2-24\\\\$

Hope this helps!

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If 5x:(x-2) = 11:3 , find the value of x ?

Masteriza [31]

Answer:

x = -11/2

Step-by-step explanation:

The ratios need to stay the same

5x 11

----- = -------

x-2 3

Using cross products

5x*3 = (x-2) 11

15x = 11x - 22

Subtract 11 from each side

15x-11x = -22

4x = -22

x = -22/4

x = -11/2

5 0

3 years ago

Read 2 more answers

Solve for w. 5w + 9z = 2z + 3w w = z w = z w = –2z w = –7z

Semenov [28]

5w + 9z = 2z + 3w

Move terms with w to the left - subtract 3w from both sides

2w + 9z = 2z

Subtract 9z from both sides

2w = -7z

Divide both sides by 2

w = $\frac{-7}{2}z$

6 0

3 years ago

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

a stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where s(t) = 4.9t^2 + 29.

Alenkinab [10]

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

$s(t) = -4.9t^2 + 29.4+132.3$

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

$-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9$

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.

5 0

3 years ago

A house painter has an annual income of $35,000 and paid $2,500 in income tax. What percent of her income is the income tax?

almond37 [142]

Answer:

The 7.14% of her income is the income tax .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

A house painter has an annual income of $35,000 and paid $2,500 in income tax.

Here

Part value = $2500

Total value = $35000

Put in the formula

$Percentage = \frac{2500\times 100}{35000}$

$Percentage = \frac{250000}{35000}$

$Percentage = 7.14\ (Approx)$

Therefore the 7.14% of her income is the income tax .

3 0

3 years ago