The another root for the given polynomial is 3 + 2i.
What is the conjugate of a complex number?A complex number is defined as a number containing both real and imaginary part which is written as x + iy. The conjugate of a complex number can be obtained by changing the sign of the imaginary part of the number. the product of a complex number and its conjugate is the square of its magnitude.
One of the complex roots of a polynomial is given as 3 - 2i.
Since, all the coefficients of the polynomial P(x) are real.
The another root should be the complex conjugate of the given root.
Thus, the other root is given as below,
3 + 2i
Hence, the additional root is given as 3 + 2i.
To know more about complex number click on,
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Mrs Chen buys 3 identical boxes of chocolates from a super market .
She uses a $50 note to pay for them and gets $8 change. How much does
each box of chocolates cost?
Answer:
50 - 8 = 42
divide 42 by 3!
5.25
16. Solve for x. x = __________
Answer:
20
Step-by-step explanation:
Rewrite the decimals as fractions 3.34
Select all of the angles that are congruent to \angle 5.
Answer:
<5 = <8 b/c of vertical angles
<5 = <4 because of alternate interior angles
<5 = <1 because of corresponding angles
Joey and her sister are helping remodel their parent's house.
They plan to carpet the bedroom which is 14 feet by 16 feet.
The carpet is priced at $1.90 per square foot.
How much can they expect to pay for the new carpet?
Answer:
They will have to pay $425.60
Step-by-step explanation:
14*16 equals 224 feet
224 feet times $1.90 equals $425.60
2. Eli has 600 cubes that are 1 cubic inch. Select the smallest length a cube- shaped box can have while being able to hold the 600 cubes. A 7 in. B 8 in. C 9 in. D 10 in.
Answer:
9 in
Step-by-step explanation:
We need to find x in x^3 > 600
For x=8, 8^3 = 512 < 600 (Too Small)
For x=9, 9^3 = 729 > 600 (Just right)
For x=10, 10^3 = 1000 > 600 (Too big)
Therefore, the smallest length of the cube-shaped box is 9 in.
What is the slope-intercept equation for the line below?
5
(54)
(0, 2)
- A. y = 2 x + 2
D. -- +2
Mary spent a total of $322.53 for a party. She spent $200.97 on food, plus an additional $30.39 for each hour of the party. How long
was the party?
Answer:
4 hours
Step-by-step explanation:
y = total cost
x = per hour
Equation:
y = 200.97 + 30.39x
322.53 = 200.97 + 30.39x
322.53 - 200.97 = 30.39x
121.56 = 30.39x
x = 4
What are two numbers that when multiplied equal -30 and when added together equal 1?
Answer:
6 and -5
Step-by-step explanation:
6 times -5 = -30
6 + (-5) = 1
One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.
x = first number
y = second number
x=y+5
3x +2y = 30
lets substitute x=y+5 in the second equation for x;
3(y+5) + 2y =30
3y + 15 + 2y = 30
5y + 15 =30
5y = 30 -15
5y = 15
y = 3
Now that we have y lets plug that answer into either equation for y;
x = 3 + 5
x = 8
:) if I’m wrong I’m very sorry.
PLS HELP QUICK!!
The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.
Answer:
4
Step-by-step explanation:
750=3.14 × r^2 ×15 you divide 750 by 3.14 then by 15, then you take the square root
-5x=10 plz no links thanks
Answer:
2
Step-by-step explanation:
2x5=10
Answer:
-5x=10
x= 10/(-5)
x = -2 (sign in the denomiantor comes to numerator)
32 divided 10 - 8 divided 2 - 3
Answer:
-3.8
Step-by-step explanation:
Answer:
-3.8 i think sorry this is the first one im not sure with.
Step-by-step explanation:
32/10=2.4
3-2=1
2.4-8=5.6
5.6/1=5.6
=-3.8
Urgent!! Math help!!! Pls answer them all or the ones you know! I’ll make you brain-list!
Answer:
1) mEF is 38°
2) mDE is 52°
3) c. 6.28
4) b. 20.94
Step-by-step explanation:
1) mEF is corresponding to mHG
2) mDE + mEF = 90, so 90-38=52
3) L=r·∅ so L=3·120 (in radians)
4) Couldn't see Q, but based on the right angle we can assume the inside angle for mQPT is 119°
Help me please I will give Brainliest!
Answer:
n = 4.5
Step-by-step explanation:
I think it is 4.5 because n is 3 units ahead of 1.5 on the number line:
1.5+3=4.5
Which of the following systems of equations creates the graph of (-3.4, 2.3)?
Option 1 : y= 2x+4
y= -1/3x-8
Option 2 : y= 1/2x-8
y= -3x-8/3
Option 3 : y= 1/2x+4
y= -3x-8
Option 4 : y= 2x-8
y= -1/3x-8/3
I need an answer ASAP, I will mark u brainliest if the answer is valid! thx
Answer:
C
Explanation:
The answer is C because when you plug in (-3.4) as x in that equation, you get 2.3 as an answer which means that option is correct.
[tex]y = \frac{1}{2} x + 4[/tex]
[tex] = \frac{1}{2} ( - 3.4) + 4[/tex]
[tex] = 2.3[/tex]
When you plug in x for other options, you do not get the correct value for y so this is the only answer.
Need help once again!!!
Answer:
the answer to this question is seven
0.11 times 734 Answer please.
Answer:80.74
Step-by-step explanation: lol
what is the answer of 2m^2 * 2m^3
Answer:
4m^5
Step-by-step explanation:
Answer:
4m^5
Step-by-step explanation:
Help me, I will give brainliest to best answer. No work needs to be explained.
Write three hundreths as a decimal.
Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths
Answer:
3.00 I think or 30.0 I really don't know but that's what I think
Describe a real world situation where you might use the Pythagorean Theorem. Help due today :))
Please help... 12 points please thank you!
what equation is equal to y-34=x(x-12)
Answer: I don’t know how to solve for x but I know how to solve y for y=x^2-12x+34
Step-by-step explanation: Hope this help :D
What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.
Answer:
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
b^2 = (25 + 9) − 30 x 0.469
b^2 = 34 - 30 x 0.469
b^2 = 34 - 14.084
b^2 = 19.916
b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!
Step-by-step explanation:
Answer:
4.5 mm
Step-by-step explanation:
These two polygons are similar.
4
2
9
16
15
w
w = [? ]
45 points asap for anyone who can answer
Solve for x. Give explanation
Answer:
x = 47 degrees.
Step-by-step explanation:
The angles in a triangle add up to 180 degrees, therefore:
x + 43 + 90 = 180
x = 180 - 43 - 90
x = 180 - 133
= 47 degrees.
Solve the system using the substitution method. -5x – 8y = 17 x = 3.5y – 8.5 NO LINKS PLEASE HELP LINKS = REPORT
Answer:
x=-5 , y=1
Step-by-step explanation:
-5x-8y=17
x=3.5y-8.5
-5(3.5y-8.5)-8y=17
-17.5y+42.5-8y=17
-25.5y+42.5=17
-25.5y=-25.5
y=1
x=3.5(1)-8.5
x=-5
hello help please i’ll give brainliest
Answer:
Erosion by groundwater.
Step-by-step explanation:
Sinkholes are formed when groundwater dissolves rocks underneath the land surface.
Answer:
Erosion of groundwater because the water goes through the rock and "weekends" them into collapsing. Almost like tripping if you will.
Step-by-step explanation:
What is 73/48 simplified
Answer:7348 is already in the simplest form. It can be written as 1.520833 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Answer: it’s already at its lowest form
Step-by-step explanation:
What is 5x6 equal too?
Answer:
30
Step-by-step explanation:
6+6+6+6+6 or 5+5+5+5+5+5
Answer:
30
Step-by-step explanation:
cause you can do it mentally or you can do 5+5+5+5+5+5, cause its 5 six times. Or 6 five times. 6+6+6+6+6