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GuDViN [60]
2 years ago
13

Find the fourth-degree polynomial function with zeros 10,-10, 10i, -10i

Mathematics
1 answer:
zubka84 [21]2 years ago
3 0

Answer:

x^4-90x^2-1000

Step-by-step explanation:

(x-10)(x+10)(x^2+10)\\\\(x^2-100)(x^2+10)\\\\x^4+10x^2-100x^2-1000\\\\x^4-90x^2-1000

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The library has at least 5,000 books. Which inequality represents the situation an has an infinite number of solutions?
just olya [345]
MORE THAN OR EQUAL TO 5000<span>≥</span>
3 0
3 years ago
Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott
SpyIntel [72]

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

4 0
3 years ago
Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the
AURORKA [14]

Answer:

The standard form of line is

-3x+y=-2

Step-by-step explanation:

we are given a line

slope=3

so,

m=3

y-intercept of -2

so,

b=-2

now, we can use slope-intercept form of line

y=mx+b

now, we can plug values

y=3x-2

we can write it in standard form of line

ax+by=c

y=3x-2

we can subtract both sides by 3x

y-3x=3x-2-3x

y-3x=-2

-3x+y=-2

So, the standard form of line is

-3x+y=-2


3 0
3 years ago
Read 2 more answers
HELP ME PLEASE!! I NEED THIS!
Pani-rosa [81]

Answer:

min{5 x^2 - 20 x + 3} = -17 at x = 2

Step-by-step explanation: here's the graph

8 0
2 years ago
If i- -1, what is the value of ; 3? -1 O i 0 1 0 -
Whitepunk [10]
i=\sqrt[]{-1}\begin{gathered} i^2=(\sqrt[]{-1})^2 \\ i^2=-1 \end{gathered}\begin{gathered} i^3=i^2\times i \\ i^3=-1\times i \\ i^3=-i \end{gathered}

5 0
1 year ago
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