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2 years ago

The figure below shows parallel lines cut by a transversal:

Mathematics

1 answer:

Schach [20]2 years ago

8 0

<1 and <2 are congruent because they are a pair of vertical angles.

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What is the factored form of x^12y^18+1

Black_prince [1.1K]

Answer: The required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Step-by-step explanation: We are given to find the factored form of the following algebraic expression:

$E=x^{12}y^{18}+1.$

We will be using the following formula:

$a^3+b^3=(a+b)(a^2+ab+b^2).$

Now, we have

$E\\\\=x^{12}y^{18}+1\\\\=(x^4y^6)^3+1^3\\\\=(x^4y^6+1)\{(x^4y^6)^2-x^4y^6\times1+1^2\}\\\\=(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Thus, the required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

4 0

3 years ago

Read 2 more answers

Afan pays $875 for 3 premium seat tickets. Another fan pays $2125 for 8 premium seat tickets. Write a linear model for the cost

grandymaker [24]

The equation is : C=250t +125 where C is the cost and t represent the number of tickets purchased.

Step-by-step explanation:

Let the cost of premium seat ticket be C

Let the number of tickets a fan buys to be t

Then, presenting the information as ordered pairs of coordinates (x,y) will be;

Fan 1, (3,875)

Fan 2, (8,2125)

Plot the ordered pairs as coordinates on a graph tool, find the slope of the linear graph and equation in slope intercept form as;

m=Δy/Δx

m=2125-875/8-3

m=1250/5

m=250

Equation of the graph,

Δy/Δx=250

y-875/x-3 =250

y-875=250(x-3)

y-875=250x-750

y=250x-750+875

y=250x+125

C=250t +125 where C is the cost and t represent the number of tickets purchased

Learn More

Slope-intercept form equation: brainly.com/question/11016508

Keyword : slope-intercept form,cost

#LearnwithBrainly

7 0

3 years ago

a rectangular lawn of sides 400m and 300m is surrounded by a path of width 3 m . find the area of path

DiKsa [7]

Answer:

2109 meter squared

Step-by-step explanation:

$Area \: of \: path \\ = (400+3)(300+3)-400 \times 300 \\ = 403 \times 303 - 120000 \\ = 122,109 - 120000 \\ = 2109 \: {m}^{2}$

8 0

3 years ago

How many points of intersection does this system have?<br>y = 3x-42<br>-3x+y=4

zzz [600]

Answer:

This system has no points of intersection.

Step-by-step explanation:

The lines are parallel, so they don't intersect.

I graphed the equations below to show you how they are parallel.

7 0

3 years ago

Which steps could be used to solve this story problem?

Airida [17]

C. Multiply $ 5 by 3, multiply $ 3 by 4, then multiply $ 13 by 3....then add the products together

8 0

3 years ago