Answer:
x= 4+5i
Step-by-step explanation:
The values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i
What is quadratic equation?A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.
Given is a quadratic equation, x²-8x+41 = 0, we need to find the values of x,
Since, 41 is a prime number, which can not be factorized so, we will use quadratic formula,
x = [-b ± √(b²-4ac)] / 2a
Here, a = 1, b = -8, c = 41
Therefore,
x = [8 ± √(8²-4(41))] / 2
= [8 ± √(64-164)] / 2
= [8 ± √(-100)] / 2
= [8 ± 10i] / 2
= [4 ± 5i]
Therefore, x = 4+5i or x = 4-5i
Hence, the values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i
Learn more about quadratic equation, click;
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what is 1/2 divded by 3/4
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1}{2}} \div {\dfrac {3}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1}{{\cancel{2}}}}\times {\dfrac{{\cancel {4}}}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {2}{3}}[/tex]
Find the slope of the equation y=2x+5
Answer:
the slope is 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Please do 11 vote you brainiest
Answer:
ITS B
Step-by-step explanation:
0.0002077 scientific notation
Answer:
[tex]2.077[/tex] × [tex]10^{-4}[/tex]
Step-by-step explanation:
To convert to scientific notation, you need the number to be less than 10, but greater than 1 and is multiplied by a base of 10 to the power of the number of times you moved the decimal. So you need to shift the decimal place 4 times to the right to get to 2.077 (which is less than 10, but greater than 1). The next part is that you’ll need a base number, which is 10 because your moving the decimal by 10s. Since the decimal is being moved to the right, the exponent will be negative. You moved it 4 times so it’s [tex]10^{-4}[/tex]. The finished answer is:
[tex]2.077[/tex] × [tex]10^{-4}[/tex]
Hope this helps and answers your question! :)
i really need help with this!!
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[tex]y = - \frac{1}{6} x - 1 \\ [/tex]
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Let me know if you need explanation.
A rectangular frame has length (x+2) units and width (x-2) units. If the area is 96 square units, what is the value of x?
Answer:
x=10
Step-by-step explanation:
according to the question
(x+2)(x-2)=96
=>x^2-4=96
=>x^2=96+4
=>x^2=100
=>x=√100
Therefore
x=10
x=-10
As width and length can't be negative
So x=10
Width=10-2=8
Length=10+2=12
12×8=96 (proven)
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the area of a rectangle is defined by multiplying the length by the width.
[tex]A=l\times w[/tex]Given
rectangular frame length = l = (x+2) unitsrectangular frame width = w = (x-2) unitsArea = 96 square unitssubstituting all the given values in the formula to find the value of x.
[tex]A=l\times w[/tex]
[tex]96=\left(x+2\right)\times \left(x-2\right)[/tex]
[tex]96=x^2-4[/tex]
[tex]x^2-4=96[/tex]
subtract 96 from both sides
[tex]x^2-4-96=96-96[/tex]
[tex]x^2-100=0[/tex]
[tex]x^2=100[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{100},\:x=-\sqrt{100}[/tex]
[tex]x=10,\:x=-10[/tex]
Putting x = -10 in the length and width will make the length and width negative, which can not be possible.
i.e.
length = l = x+2 = -10+2 = -8 units
width = w = x-2 = -10-2 = -12 units
Therefore, x=-10 must be excluded.
Now, putting the length of x = 10.
i.e.
length = l = 10+2 = 10+2 = 12 units
width = w = x-2 = 10-2 = 8
[tex]A=l\times w[/tex]
96 = 12 × 8
96 = 96
Therefore, the correct value of x = 10
Please answer this correctly, and you'll recieve brainliest!
Which figure can be transformed into figure L by a 90° rotation clockwise about the origin followed by a translation 2 units down?
Question Options:
Question 2 options:
figure J
figure M
figure N
figure P
Answer:
J can be rotated
Step-by-step explanation:
Answer: Figure J
Clockwise and 2 units down
2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of
solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither
(a) 6x + 4x - 6 = 24 + 9x
(b) 25 - 4x = 15 - 3x + 10 - X
(c) 4x+8 = 2x + 7 + 2x - 20
PLEASE INCLUDE THE CONTRADICTION AND IDENTITY OR NEITHER I WILL GIVE BRANLISEST !
Answer:
a. infinite solutions, answer is x = 30, identity equation
b. no solution, a contradiction equation
c. no solution, a contradiction equation
Step-by-step explanation:
Pls give me the answer! Thanks!
Answer:
6
Step-by-step explanation:
7 x 6 = 42 + 9 = 51 + 54 = 105 + 75= 180
Answer:
6
Step-by-step explanation:
Tge sum of interior angles in a triangle is equal to 180°
7x + 9 + 54° + 75° = 180° add like terms
7x + 138° = 180° subtract 138 from both sides
7x = 42 divide by 7
x = 6
Solve 9x² - 6x + 1 = 0 using the Quadratic Formula.
Answer:1/3 i dont know if this is right i just kindly copied the guy on top
Step-by-step explanation:
if x=5 then what is x squared?
Answer:
25
Step-by-step explanation:
[tex]x^2\\\\x=5\\\\5^2=5*5=25[/tex]
Hope this helps.
ANSWER THE QUESTIONS PLS. SERIOUS ANSWERS ONLY. 100 POINTS
Answer:
Step-by-step explanation:
Tnd 50 dia w2 wop p.35.00 dma fw
Answer: the answer is wha the other dude said
Step-by-step explanation:
Which of the following functions is graphed below?
O A. y - x - 344
O B. y - 1+31+1
O C. y - 1+ 3-4
D. y - x - 3-4
PLS HELP AND HURRY ITS TIME
Answer:
5 units down
Step-by-step explanation:
please help me i really need to pass!! i’ll mark you as brainliest
Answer:
x=33.4
Step-by-step explanation:
Answer:
x = 51 :)
Step-by-step explanation:
2x + 32 = 3x - 19
combine like terms
51 = x
PLEASE HELPP!! I WILL GIVE BRAINLIEST!
Answer:
1.5 white 2 blue
Step-by-step explanation:
It is easy
(just not for me)
how do i expand and simplify 2(x+7)+3(x+1)
Answer: 5x+17
Step-by-step explanation:
2x+14+3x+3= 5x+17
First, multiply 2 by x and 7, which will give you 2x+14 then add the plus sign right after the 14. then multiply 3 by x and by 1 to get 3x+1.
Wendy jarred 8 liters of jam after 2 days. How many days does Wendy need to spend making jam if she wants to jar 32 liters of jam in all? Assume the relationship is directly proportional.
Answer:
8 days
Step-by-step explanation:
it takes her two days to make 8 liters so for every 8 liters you add on two more days. 8:2, 16:4, 24:6, 32:8
) In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based
on the diagrams, which statement is true? (8.8D)
A. The value of x should be 75, because the angles shown in the diagrams are
congruent
B. The value of x should be 105, because the measures of the angles shown in the
diagrams add up to 180°.
C. The value of x should be 140, because the measures of the angles shown in the
diagrams should add up to 360and 360 - (110 + 110)
D. The value of x should be 70, because the measures of the angles shown in the
diagrams are both 70
Answer:
A. The value of x should be 75, because the angles shown in the diagrams are congruent.
Step-by-step explanation:
I did the test
Please help with this math problem ASAP!
Answer:
0
Step-by-step explanation:
0 time difernce because a negative numbers means it will have an world record , while a positive time diference means it did not beat the world record
Help me please, if you don’t know the answer or if slightly unsure please leave and don’t answer. Thank you.
Answer:
Step-by-step explanation:
1). Swap the order of equations.
2). Yes, system of equations are equivalent with the same solution.
29x = 46 ⇒ x = [tex]\frac{46}{29}[/tex]
y = - [tex]\frac{184}{29}[/tex] + [tex]\frac{203}{29}[/tex] = [tex]\frac{19}{29}[/tex]
( - [tex]\frac{46}{29}[/tex] , [tex]\frac{19}{29}[/tex] )
Solve each equation. Write The properties that justify each step in the solution method
a. 3x - 8 = -7x + 18
Answer: I’m not sure how to explain so you look at what I did and if it is an equation then I did solve it but if I should did the two separately then tell me so I can do it , have a great and funny day :)
Step-by-step explanation:
Please help(ik it’s not c)
Answer:
Its A
Step-by-step explanation:
Will mark brainliest
Answer:
Step-by-step explanation:
We know she gets 4 more quarters so: q+4
She gives away 3 dime so: d-3
And the nickels stay the same: n
In total the expression would be: q+4+d-3+n
Hope this helps :D
factor this expression 30+72
Answer:
102
Step-by-step explanation:
Determine the interval in which this function is DECREASING
Answer:
4
Step-by-step explanation:
4
if a =(1 2 3 4 5 then the number subsets a is
Answer:
Every choice doubles the number of subsets previously built, so the 4 subsets of {1,2} become 8 when we think of subsets of {1,2,3}. Then 16, and finally 32 subsets for {1,..5}.
Step-by-step explanation:
hopefully this helps!
Find the x and y intercepts.
4x - y = 12
Answer:
x-intercepts (3,0)
y-intercept (0,-12)
x= 3
y= -12
Step-by-step explanation:
Please help thank you so much
Answer:
no
when you enter the point into the equation and solve, it does not work
Answer:
NO
Step-by-step explanation: