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Shtirlitz [24]
2 years ago
7

Select the correct answer from the drop-down menu. Find the product. The product of 2/5a2x and -1/5x2a is

Mathematics
2 answers:
Gemiola [76]2 years ago
7 0

Answer:

(2/5a²x)( -1/5x²a) = -2/25a³x³

Step-by-step explanation:

We have given two terms.

2/5a²x and -1/5x²a

We have to find product of given terms.

We use following formula to solve this.

yᵃyᵇ = yᵃ⁺ᵇ

The product is:

(2/5a²x)( -1/5x²a) =2/5a²x . -1/5x²a

Combining like terms, we have

(2/5a²x)( -1/5x²a) = (2/5)(-1/5)(a²a)(xx²)

(2/5a²x)( -1/5x²a) = (-2/25)(a²⁺¹)(x¹⁺²)

(2/5a²x)( -1/5x²a) =( -2/25)(a³)(x³)

(2/5a²x)( -1/5x²a) = -2/25a³x³

valentinak56 [21]2 years ago
3 0

Answer: -\frac{2}{25}a^{3}x^{3}

Step-by-step explanation:

1. The problem asked for the product of \frac{2}{5}a^{2}x and -\frac{1}{5}x^{2}a, therefore, you must mutliply them, as you can see below:

2. According the exponents propertiess, when you have a multiplication of two powers that has the equal base, you must add the exponents. THerefore, you have the following result:

 (\frac{2}{5}a^{2}x)(-\frac{1}{5}x^{2}a)=-\frac{2}{25}a^{3}x^{3}

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Solve for x: 0.75x-0.25=3.5
exis [7]

Answer:

x=5

Step-by-step explanation:

3.5=0.75x-0.25

add 0.25 to 3.5

3.75=0.75x

divide 3.75 by 0.75

x=5

4 0
2 years ago
The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre
Monica [59]

Answer:

  (p, q) = (8, 82)

Step-by-step explanation:

When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...

  y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)

  y -b = (-a/b)(x -a)

Rearranging this to standard form, we have ...

  b(y -b) = -a(x -a)

  by -b² = -ax +a²

  ax +by = a² +b²

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For (a, b) = (5, 4), the standard form equation of the tangent can be written ...

  5x +4y = 5² +4² = 41

Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:

  2(5x +4y) = 2(41)

  10x +8y = 82

Comparing to 10x +py = q, we see that ...

 p = 8

  q = 82

4 0
2 years ago
-7 1/3 written as a fraction is _____.<br><br> - -10/3<br> - -21/3<br> - -22/3<br><br> Pls help!!!!!
enot [183]
-7x3+1 = -22/3
That’s the answer
8 0
3 years ago
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Zach is 15 in a half years old. this is 3 years younger than his brother hunter. how old is hunter?
dlinn [17]

Answer:

18 1/2 years old

Step-by-step explanation:

x-3= 15 1/2

x= 15 1/2 + 3

x= 18 1/2

Hunter is 18 1/2 years old.

4 0
3 years ago
If f(x)=4-x^2 and g(x) =6x which expression is equivalent to (g-f)(3)
MArishka [77]

Answer:

-18

Step-by-step explanation:

Given:

f(x)=4-x^2 and g(x) =6x

h(3) = (g-f)(3)

= 6x - (4x^2)

= 6*3 -(4*3^2)

= 18 - 4*9

= -18

3 0
2 years ago
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