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alisha [4.7K]
3 years ago
14

Describe a pattern you ser 10,15,20,25,30

Mathematics
1 answer:
pogonyaev3 years ago
7 0
Each previous number is added by five.
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Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 3i and 2, with 2 a
dolphi86 [110]

Answer:

The required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

Step-by-step explanation:

If a polynomial has degree n and c_1,c_2,...,c_n are zeroes of the polynomial, then the polynomial is defined as

P(x)=a(x-c_1)(x-c_2)...(x-x_n)

It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

Since 3-3i is zero, therefore 3+3i is also a zero.

Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is

R(x)=(x-3+3i)(x-3-3i)(x-2)(x-2)

R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2

R(x)=(x-3)^2-(3i)^2((x-3)-3i)(x-2)^2     [a^2-b^2=(a-b)(a+b)]

R(x)=(x^2-6x+9-9(i)^2((x-3)-3i)(x-2)^2

R(x)=(x^2-6x+18)(x^2-4x+4)                [i^2=-1]

R(x)=(x^2-6x+18)(x^2-4x+4)

R(x)=x^4-10x^3+46x^2-96x+72

Therefore the required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

3 0
3 years ago
For the triangle shown, three possible lengths of x, y, and z are given. Find the measurements for the other two sides in
romanna [79]

Answer:

what are the numbers if there are more than one number then add all numbers up

Step-by-step explanation: for example

one side of cube :5

another side: 4

another side: 8

another side: 3

add all number up 5+4+8+3=20

8 0
3 years ago
How to solve (2x-3)(3x+3)=36
mote1985 [20]
Use the distributive property to multiply the two sets of parentheses. You should have learned this in Algebra 1.
7 0
3 years ago
Read 2 more answers
Did you hear about the lettuce and tomato race? The lettuce was a head and the tomato tried to ketchup.
Anettt [7]

Answer:

bruh

Step-by-step explanation:

b r u h

5 0
3 years ago
.............................screenshot
antoniya [11.8K]

Answer:

92.5 cm²

Step-by-step explanation:

Lets take this step by step

Bottom rectangle is 2 by 5, so then 2*5 = 10

Large rectangle is 8 by 9, so 8*9 = 72

The triangle is 7 by 3, you get the 7 by subtracting the 5 side from the square because using the square you can tell that the height is 9 - something.

The 5 you get is from subtracting the cut part that you might have made because the height of that is 2, therefore you cut off 2 from 7 making it 5

Triangle area is h*b / 2, therefore 7*3 = 21/2 = 10.5

Add them all together, 10.5 + 10 + 72 and you get 92.5

6 0
4 years ago
Read 2 more answers
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