Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Please help me... with at least 3 or 4.
Will mark u BRAINLIEST! Please help this is due ASAP
Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y
[tex]\left \{ {{x + y = 180} \atop {x=24+y}} \right.[/tex]
Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102
Answer:
x= 102
y= 78
Step-by-step explanation:
x+y=180
x= y + 24
2x-24 = 180
PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in
Answer:
5[tex]\pi[/tex]+40
Step-by-step explanation:
perimeter of circle=2[tex]\pi[/tex]r
so 5 is r(radius)
so 10[tex]\pi[/tex], but since it’s semicircle, you have to divide by 2, so
5[tex]\pi[/tex]
perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40
so 5[tex]\pi[/tex]+40
Write the equation of the line.
Answer:
y=2x+4
Step-by-step explanation:
First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)
Slope=4-0/0-(-2)
=4/2
=2
Y-intercept is 4.
Slope-Intercept form: y=mx+b
m is slope & b is y-intercept
y=2x+4
HOPE I helped!
please help me on this will give you brainliest!!
Answer:
0.926
Step-by-step explanation:
Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!
help please
− 1 − 9 + ( −15) + (− 8) + 3 =
Step-by-step explanation:
− 1 − 9 + ( −15) + (− 8) + 3 [B.O.D.M.A.S rule]
= − 1 − 9 −15 − 8 + 3
= 3 - 1 - 9 - 15 - 8 (First and last subtraction)
= 3 - 33
= -30(Ans)
Answer:
-30
Step-by-step explanation:
Well we don't necessarily have to follow pemdas right now, because there is only addition and subtraction, and they are on the same level and they don't matter which order they are used in.
So, with that being said, let's go step by step. I could've done an easier way, but for the sake of this question, I will do it a way that is a bit longer.
So, -1-9= -10.
For the next number, if there is a + and then a () and there is a negative number in the parenthesis, forget about the + and just subtract 15.
-10-15= -25
Same for the next number. -25-8= -33
-33+3= -30
The easier method is just combining the negative numbers and adding/subtracting them and then combining the positive numbers and adding/subtracting them, and then combining both results to get your answer.
Anyways, hope this helped you! If so, please leave a rating and a thanks, and let me know if I was correct! (hopefully brainliest, but up to you) Have a great day!!
Please please answer please
its should be c.
Because its approximately that many ppl
Answer:
Its C
Step-by-step explanation:
Help me Please!!!!!
Answer:
The function has an even degree
The function has a negative leading coefficient
^^^^ Hope this helps! :)
You receive an $18 commission on a
$18 commission on a $300 TV that you
sold. What percent commission did you earn what’s the answer for this and how
Answer:
6% commission on the sale
Anyone can help with this answer please
please help me with this math
Answer:
C. Aka z = -3.Step-by-step explanation:
Subtract 7 from both sides.
We have:
-3z-4z=21
So:
-7z=21
21/-7 = -3
The answer is C.
When Sam and his friends get together, Sam makes a fizzy orange drink by mixing orange juice with soda. On Friday, Sam makes 7 liters of fizzy orange by mixing 3 liters of orange juice with 4 liters of soda. On Saturday, Sam makes 9 liters of fizzy orange by mixing 4 liters of orange juice with 5 liters of soda. Does the fizzy orange on Saturday taste the same as Friday’s fizzy orange, or different? If you think it tastes the same, explain how you can tell. If you think it tastes different, does it taste more or less orangey? Explain how you know.
Answer:
no because the ratio 3:4 is not equivalent to 4:5
Step-by-step explanation:
In 14 days, Lin's sister will be paid $$ and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $$ each day after this deposit is made? Explain or show your reasoning.
Answer:
Lin won't be charged $5.95 per day because her account balance is quite above zero(0), except her account balance falls down to zero, then she would be charged for subsequent deposits made into the account daily.
Please include an explantation!
Please don't answer just for points someone did that with my last post.
A marketing firm wants to estimate the true proportion of people in a city who use a certain brand of mobile phone. They want to produce a 90% confidence interval with a margin of error of at most 0.07. Which of the following is the smallest sample size that will produce the desired interval?
35
94
139
196
339
Answer:
139
Step-by-step explanation:
Cause it is
The smallest sample size that will produce the desired interval is 139.
Option C is the correct answer.
What is margin of error?The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.
We have,
The formula for calculating the margin of error for a confidence interval is:
Margin of error = z x (√(p x (1-p))/√(n))
where:
z = the z-score corresponding to the desired confidence level
p = the estimated proportion of the population that exhibits the behavior of interest (in this case, using a certain brand of a mobile phone)
n = sample size
We want the margin of error to be at most 0.07, which means we need to solve for the smallest possible value of n that satisfies this condition.
We also want a 90% confidence interval, which corresponds to a z-score of 1.645.
Therefore,
we have:
0.07 = 1.645 x (√(p*(1-p))/√(n))
Squaring both sides and solving for n, we get:
n = ((1.645)² x p x (1-p)) / (0.07)²
We don't know the value of p, so we need to use the worst-case scenario, which is when p = 0.5 (which gives the largest possible value of n for any given margin of error).
Plugging this into the formula, we get:
n = ((1.645)² x 0.5 x (1-0.5)) / (0.07)²
n = 138.55
Since n must be a whole number, the smallest sample size that will produce the desired interval is 139.
Therefore,
The smallest sample size that will produce the desired interval is 139.
Learn more about margin of error here:
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domain and range of 7-9 / 2-7 and what does the slope of the equation mean
Answer:
Domain: 7,2
Range: 9,7
Slope is 2/5
Step-by-step explanation:
Domain is basically the x coordinates, which are 7 and 2 in this case. Range is the y coordinates: 9 and 7.
The slope is basically the line that connects these two dots.
Slope formula is (y2-y1)/(x2-x1)
But the points of the grid would be listed as (x1,y1) (x2,y2)
I don't know if I'm explaining this well enough, but if you follow that formula you get (7-9)/(2-7).
That equals to 2/5.
I hope this helped
Show two lines so the vertical angles formed are supplementary
Answer:
here i got you
Step-by-step explanation:
In one particular case, when vertical angles are right angles (that is, lines that form this pair of vertical angles are perpendicular), their sum is equal to a straight angles and, therefore, they are supplemental. See the picture below that represents
Please help I need it ASAP x
Answer:
1-13
2-225
Step-by-step explanation:
plssssssssss helpppppppppppppp
Answer:
its A
Step-by-step explanation:
can i have brainliest
Circle what is the y-intercept in the graph and equation.
y=3x-4
Answer: y-intercept is 1
Step-by-step explanation: it's one because it is on the y-axis.
Answer:
the y-intercept is -4
Step-by-step explanation:
brainliest please ??
Arnav was 1.5 m tall. In the last couple of years, his height has increased by 20% percent.
How tall is Arnav today?
Answer: Arnav is 1.8m
Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8
:D
Answer:
1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.
What statement describes the graph of x=4?
Answer:
it is parallel to the y axis
Answer:
D
Step-by-step explanation:
Since x equals 4, it would be parallel to the x-axis
A rectangle with length 10 inches and width 5 inches. A triangle sits on top of the rectangle. The triangle has a base of 10 inches and height of 3 inches.
The area of the two shapes combined is 65 inches.
explanation:
A rectangle's formula is length x width which makes the equation 10 x 5 and the solution 50.
A triangle's formula is area = base x height ÷ 2 which makes the equation 10 x 3 ÷ 2 and the solution 15.
50 + 15 = 65
Please answer this, due today!!! - First correct answer becomes brainliest
Suppose you know x+2y=-1 and 3y-x=-19. What is xy?
Answer:
x+2y=-1
-×+3y=-19
5y=-20
y=-20/5
y=-4
x=0
Identify the place value of digit 9 in each given number.
1.109 235 2.2 904 178 3.34 698.25
Tysm!<33
Step-by-step explanation:
1) Thousands
2) 100 thousands
3) tens
fill in the missing number 21-(-17)=21+...
Answer:
the answer of 21-(-17)=21+17=38
A bird starts at 20 m and changes 16 m?
Answer:
Step-by-step explanation:
I don't understand your question so please change the question so I can answer you.
please help!! rlly need help
Answer:
Yes by SAS
Step-by-step explanation:
if you do 42 / 18 you see that the relationship between the sides is 2.3333... so that is one proportional side
Then, you see that there is one angle in both triangles that is 76 degrees, so that is one equal angle
then, you can do 21 / 9 = 2.33333... which is the same as the first proportion which means that is another proportional side.
then you have a side, angle, and a side, so it's SAS
25% OFF!
During the sale, Cooper pays $3 for a bag of almonds. What was the original price?
Answer:
$4
Step-by-step explanation:
x-.25x=3. (since it’s 25% off)
.75x=3
x=3/.75
x=4
Emily is a diver. Today she descended to a
depth of 40 feet below sea level. Then she
swam up 10 feet and descended another 4
feet. How far below sea level is Emily now?
She was at 40 feet below, she swam up getting so she was then at 40-10 = 30 feet below sea level.
She the swan 4 feet down so she ended up at 30 + 4 = 34 feet below sea level.
The answer is 34 feet below sea level (-34)
Evaluate the expression 2x^2-y^1+3x^0 for x =3 and y=5
Expression of the collection of variables and constant. The value of the given expression 2x² - y¹ + 3x⁰ for x = 3 and y = 5 will be 16.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
Expression is very useful to determine the end or root value of constraint.
As per the given expression,
2x² - y¹ + 3x⁰
Substitute, x = 3 and y = 5
2(3)² - 5 + 3(1) = 18 - 5 + 3 = 16.
Hence "The value of the given expression 2x² - y¹ + 3x⁰ for x = 3 and y = 5 will be 16".
To learn more about expression,
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