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Lostsunrise [7]
3 years ago
6

Factor the expression completely.xy^5-x^4yHelp plsss

Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that,

xy^5-x⁴y

First we look for what is common, so x and y are common to both expression

So, let bring xy out

xy(y⁴-x³).

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Find the area of the triangle formed by the origin and the points of intersection of the parabolas with equations y=−3x2+20 and
sergejj [24]

Answer:

Area = 21 unit²

Step-by-step explanation:

We have one point of triangle = (0,0)

The other points can be solved, intersection means

              −3x²+20 = x²−16

               4x² = 36

               x² = 9

               x = ±3  

when x = 3,      y =  3²−16  = 9 -16 = -7  , point is (3,-7)

when x = -3,      y =  (-3)²−16  = 9 -16 = -7  , point is (-3,-7)

We need to find area of triangle with points  (0,0), (3,-7) and (-3,-7).

Area of triangle is given by

         Area =\frac{1}{2}\begin{vmatrix}0 & 0 & 1\\ 3 & -7 & 1\\ -3 & -7 & 1\end{vmatrix}

  Area = \frac{1}{2}\left ( 0(-7\times 1-(1\times -7))-0(3\times 1-(1\times -3))+1(3\times -7-(-3\times -7)\right )\\\\Area =\frac{1}{2}(-21-21)=-21=21unit^2

Area = 21 unit²

5 0
3 years ago
Read 2 more answers
Find the area of the shape below. *<br> PLSS HELP
Travka [436]

Answer:

92

because the formula for the triangle is 1/2×b×h

and the formula for the rectangle nos l×w and then add those.

6 0
3 years ago
Read 2 more answers
: Nicole and Ian generate two patterns. Nicole uses the rule multiply by 3 then add 2 starting with 1.
zhenek [66]

The ordered pairs of Nicole and Ian's sequence pattern are:(5,1),(17,3),(53,5),(161,10),(485,20).

Given that Nicole uses the  rule multiply by 3 then add 2 starting with it and Ian uses the rule add 1/2 then multiply by 2 starting from 0,

We ar rquired to find the ordered pairs of Nicole's and Ian's rules.

We are told that Nicole's pattern is multiply by 3 then add 2 starting with 1.

Thus Nicole's pattern is :5,17,53,161,485.

Ian's pattern is add 1/2 then multiply by 2 and starting with 0.Thus the  numbers are :1,3,5,10,20.

If we combine the numbers of both the person'rule then we will get the ordered pairs which can be written as under:

The ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

Hence the ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

Learn more about pattern at brainly.com/question/17386984

#SPJ1

8 0
2 years ago
Writing explain how you know when a linear system in three variables has infinitely many solutions.
Lilit [14]
Pick any two pairs of equations<span> from the system. Eliminate the same </span>variable<span> from each pair using the Addition/Subtraction method. Solve the system of the two new </span>equations<span> using the Addition/Subtraction method.</span>
5 0
3 years ago
I need help fast……….
kap26 [50]

Answer:

all real numbers

the domain of any parabola is all real numbers because it gets wider.

8 0
3 years ago
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