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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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:
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.
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
what is the answer of 2m^2 * 2m^3
Answer:
4m^5
Step-by-step explanation:
Answer:
4m^5
Step-by-step explanation:
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
Describe a real world situation where you might use the Pythagorean Theorem. Help due today :))
Need help once again!!!
Answer:
the answer to this question is seven
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
Please help... 12 points please thank you!
These two polygons are similar.
4
2
9
16
15
w
w = [? ]
45 points asap for anyone who can answer
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
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
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.
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
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
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:
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
0.11 times 734 Answer please.
Answer:80.74
Step-by-step explanation: lol
Rewrite the decimals as fractions 3.34
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:
-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)
16. Solve for x. x = __________
Answer:
20
Step-by-step explanation:
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
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
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
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
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
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.