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spin [16.1K]
3 years ago
6

Directions: Use the product rule to simplify the following monomials.

Mathematics
2 answers:
statuscvo [17]3 years ago
5 0

Step-by-step explanation:

Multiply everything in the parenthesis.

24. (2xy)( -4x²) + (6x)(6x²y)

---> -8x³y + 36x³y

= 28x³y

25. (2ab²)(4a²b³) - (10a³b)(6b⁴)

---> 8a³b^5 - 60a³b^5

= -52a³b^5

Sorry, i cant turn the 5 into an exponent on my phone lol. but i hope this helps.

horrorfan [7]3 years ago
5 0

<u>Question :</u>

❖ Use the product rule to simplify the following monomials.

<u>Answers :</u>

24. (2xy)( -4x²) + (6x)(6x²y)

\tt =  (2xy)( -4x²) + (6x)(6x²y) \\  \tt = ( - 8 {x}^{3} y) + 36 {x}^{3} y \\  \tt = 28 {x}^{3} y \:  \:  \:  \:  \:  \:  \\  \\  \\

25. (2ab²)(4a²b³) - (10a³b)(6b⁴)

\tt =  (2ab²)(4a²b³) - (10a³b)(6b⁴) \\  \tt = 8 {a3}^{2}  {b}^{5 }  - 60 {a}^{3} {b}^{5 }  \:  \:  \:  \:  \:  \:  \\  \tt =  - 52 {a}^{3} {b}^{5 } \:  \:  \:  \\  \\  \\

<h3>Hope it helps you :D</h3>

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Rewrite the following as like fractions (having the same denominator) and place them in order from least to greatest.
Maksim231197 [3]
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3 0
3 years ago
Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Cons
Lynna [10]

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

Step-by-step explanation:

Given equation of line is:

y=5x-3

The general form of equation of line in slope-intercept form is written as:

y = mx+b

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

y = m_1x+b

y=5x+b

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37

Putting the value of b and m1, we get

y = 5x+37

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

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larisa86 [58]
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