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Licemer1 [7]
3 years ago
13

Help????????????? Geometry and measurements

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0
#5 = 2pi 7 which equals 44, #6 is 11.2pi which equals 35, #7 is pi (whatever that number is) squared, and #8 is pi5.2 squared which equals 85
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. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i
KIM [24]

Answer:

Error of Andrew: Made incorrect factors from the roots

Step-by-step explanation:

Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is  a factor of P(x). According to this definition:

(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.

Simplifying the brackets, we get:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.

This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a)  which resulted in the wrong answer.

So, the polynomial would be:

(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0

7 0
3 years ago
Please solve this and show how you did. Thanks!!
kolbaska11 [484]
4x+6<-6
-6 -6
-------------
4x<-12

Then you divide 4x on both sides so 4x divided by 4x and -12 divided by 4x. When dividing this the 4 isnt a negative so you dont flip the "<" so it stays the same. The answer would be x<-3
5 0
4 years ago
Help ASAP please.......
Sergeeva-Olga [200]

Answer:

Its hard to tell from there being no graphing lines, however i believe the answer is 4, please let me know if the answer was correct

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Landon is a maintenance worker at an amusement park. He stands atop a raised platform of the park's most popular
Helga [31]

Answer:

the equation fits the situation, but the table doesn’t.

Step-by-step explanation:

For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.

The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.

Begin by checking the equation. Rewrite the equation in factored form:

f(x) = x^{3} − 11x^{2} + 20x + 32

= (x + 1)(x^{2} − 12x + 32)

= (x + 1)(x − 4)(x − 8)

The equation has x-intercepts of 4 and 8.

But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.

So, the equation fits the situation, but the table doesn’t.

3 0
3 years ago
Read 2 more answers
Brilliant question!!!!
avanturin [10]

Answer:

a) 21

b) 78.5 - 28.3 - 12.57 = 37.63

Step-by-step explanation:

For the triangle, you want to use the formula 1/2 base times height and then subtract 2 time 2. For the circle, the formula is pi times the radius squared. Then, subtract the other circles using the same formula. I hope this helps! Please mark me brainliest because I have been scammed many times. Please and thank you.

6 0
3 years ago
Read 2 more answers
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