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3 years ago

AlgebrA complex roots

Mathematics

1 answer:

Serjik [45]3 years ago

4 0

Answer:

Complex Roots. The Fundamental Theorem of Algebra states that every polynomial of degree one or greater has at least one root in the complex number system (keep in mind that a complex number can be real if the imaginary part of the complex root is zero).

Step-by-step explanation:

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How many hats did the knitter who sold 5 scarves sell?

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Keith is saving money for a car. He has saved the same amount each year for the past three years, and records of how much he has

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Fencing encloses a rectangular backyard that measures 300 feet by 600 feet. A blueprint of the backyard is drawn on the coordina

liubo4ka [24]

Answer:

$(x-15)^2+(y-30)^2=36$

Step-by-step explanation:

we know that

The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet

The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units

therefore

If the radius of the circular flower garden in the actual is 60 feet

then

the radius of the circular flower garden in the blueprint is 6 units

Find the center of the radius in the blueprint

Remember that the circular flower garden is in the center o the backyard

To find out the center, determine the midpoint of the rectangular backyard

C((0+30)/2,(0+60)/2)

C(15,30)

The equation of a circle in center radius form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(15,30)\\r=6\ units$

substitute

$(x-15)^2+(y-30)^2=6^2$

$(x-15)^2+(y-30)^2=36$

4 0

3 years ago

Adrian purchases six tubes of paint and three paint brushes at a craft store each tube of paint cost $2.50 each paint brush cost

lesantik [10]

Answer:

The total amount of money pays by Adrian is $14.5 .

Step-by-step explanation:

As given

Adrian purchases six tubes of paint and three paint brushes at a craft store.

Each tube of paint cost $2.50 each paint brush cost $0.50 .

Total cost of the 6 tubes of paints and 3 paint brushes = 6 × Cost of each tube of paint + 3 × Cost of each paint brush cost .

Putting the values in the above

Total cost of the 6 tubes of paints and 3 paint brushes = 6 × 2.50 + 0.50 × 3

= 15 + 1.5

= $16.5

As given

Adrian has a coupon for $2 of his purchase .

Total amount money pay by Adrian = Total cost of the 6 tubes of paints and 3 paint brushes - Coupon cost

Putting the values in the above

= $16.5 - $2

= $ 14.5

Therefore the total amount of money pays by Adrian is $14.5 .

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3 years ago