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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factor this expression 30+72
Answer:
102
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
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:
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.
Determine the interval in which this function is DECREASING
Answer:
4
Step-by-step explanation:
4
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]
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!
Please help(ik it’s not c)
Answer:
Its A
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 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:
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
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:
) 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 HELPP!! I WILL GIVE BRAINLIEST!
Answer:
1.5 white 2 blue
Step-by-step 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
i really need help with this!!
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[tex]y = - \frac{1}{6} x - 1 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let me know if you need explanation.
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:
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
It is easy
(just not for me)
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.
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! :)
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
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
Please do 11 vote you brainiest
Answer:
ITS B
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:
PLS HELP AND HURRY ITS TIME
Answer:
5 units down
Step-by-step explanation:
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
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:
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] )
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