Solve for x in the equation x2 -8x+41=0.
X=-4+ 37i
X = -4 - 5i
X = 4+ 37i
Answers
Answer:
not sure if this is a right answer. but hope this helps
Step-by-step explanation:
The roots of the given quadratic equation are x=-1.6 and x=-6.4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
here, we have,
given that,
The given equation is x² - 8x + 41 =0.
The given equation can be solved using quadratic equation formula.
Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.
Quadratic equation formula x = -b±√b² - 4ac / 2a
Now, x= -8 ± √ 64 - 41 / 2×1
⇒ x= -8 ± √23 / 2
⇒ x= -8 ± 4.8 /2
⇒ x=-1.6 or x=-6.4
Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.
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Related Questions
Answer please I don't know understand this?
Answers
Answer:
A or top answer
Step-by-step explanation:
the minimum is the lowest point and that is 42 and maximum is highest point which is 56
The median is the line in the middle at 50
Q1 and q3 are the other lines located at 44 and 54
Hopes this helps please mark brainliest
Answer: the answer is A!!
Step-by-step explanation:
A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 16 feet. The height of the figure is 22 feet. The portion from the vertex to the perpendicular height is 6 feet. The portion from a point to a vertical line created by two vertices is 6 feet.
Which of the following represents the total area of the figure?
968 ft2
616 ft2
484 ft2
352 ft2
Answers
Option (C) 484 ft²
Step-by-step explanation:The Five Sided figure can be divided into 2 Triangles and 1 Rectangle.
The Dimensions of the Triangle that is on the Left are as follows:Length of the triangle = 22 Feet
Breadth of the triangle = 8 Feet
Area of the triangle = (Length * Breadth) / 2
= (22 * 8) / 2
= 176/2
= 88 ft²
The Dimensions of the Triangle that is on the Right are as follows:Length of the triangle = 22 Feet
Breadth of the triangle = 4 Feet
Area of the triangle = (Length * Breadth) / 2
= (22 * 4) / 2
= 88/2
= 44 ft²
The Dimensions of the Rectangle are as follows:Length of the rectangle = 22 Feet
Breadth of the rectangle = 16 Feet
Area of the triangle = (Length * Breadth)
= (22 * 16)
= 352 ft²
The Total Area of the Five Sided figure can be found by summing up the areas of the Triangles and the Rectangle.
The Total Area of the figure is 88 + 44 + 352 = 484 ft²
So, the total area of the figure is 484 ft².
To learn more about Finding Areas of Plane Figures here
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Hope my answer helps you✌️
Mark BRAINLIEST
The area of the trapezoid is 308 ft2, the correct option is D.
We are given that;
Shorter side= 16 feet
b2=6+6=12 ft
Height= 22 feet
Now,
To find the area of a trapezoid, you need to know the lengths of the two parallel sides (the bases) and the height. The formula for the area of a trapezoid is:
A=21(b1+b2)h
where b1 and b2 are the lengths of the bases and h is the height1.
Substitute these values into the formula and simplify:
A=21(16+12)×22
A=21×28×22
A=14×22
A=352
Therefore, by the area the answer will be 308 ft2.
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A retirement community has a sign at its main entrance that says "Residents over the age of 55 welcome." Which of the following inequalities best represents the age of residents welcome in the retirement community?
a) z > 55
b) z < 55
c) z ≥ 55
d) z ≤ 55
Answers
c) z ≥ 55
This inequality states that the age 'z' should be greater than or equal to 55.
Can you please help me?
Answers
Answer:
Step-by-step explanation:
The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
I dont know this question and i really want to know 51.2+□.85=56.05
Answers
Answer:
51.2+4.85+56.05
Step-by-step explanation:
It would be "4.85"
Hope it helped brainiest plz
Answer:
51.2 + 4.85 = 56.05
Step-by-step explanation:
56.05 - 0.85 = 55.2
55.2 - 51.2 = 4
The missing number is 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
2−
2
1
n=3n+162, minus, start fraction, 1, divided by, 2, end fraction, n, equals, 3, n, plus, 16
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=
n=n, equals
Answers
To solve this equation, we can first simplify the left-hand side:
2^(3n+1) / (2^n - 1) = 3n + 16
We can then multiply both sides by 2^n - 1 to eliminate the denominator:
2^(3n+1) = (3n + 16)(2^n - 1)
Expanding the right-hand side:
2^(3n+1) = 6n*2^n + 16*2^n - 3n - 16
Simplifying:
2^(3n+1) = (6n - 3n)*2^n + (16 - 16)
2^(3n+1) = 3n*2^n
Dividing both sides by 2^n:
2^(n+1) = 3n
Taking the logarithm of both sides (with any base), we get:
n log(2) + log(2) = log(3n)
n = (log(3n) - log(2)) / log(2)
We can use a calculator to evaluate this expression, or simplify it further using logarithm rules:
n = log2(3n/2)
We can now use iterative methods or a graphing calculator to find a numerical solution for n. The solution is approximately 7.524.
Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
Answers
Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
PLEASE ASAP HURRY!!!
Answers
Answer:
Strawberry= 3
Watermelon=3
Coconut=9
Orange=5
Step-by-step explanation:
Quite easy, you can use substitution
First look at the simplest row that can be solved by itself
row 2:
2strawberries +4 = 10
2 strawberries= 6
1 strawberry = 3
Row 3: Strawberry(3)+ orange=8
1 orange= 5
Rpw 4: 14= 1coconut +orange(5)
1 coconut= 9
Row 1: Coconut(9)+ watermelon+ coconut(9)= 21
2 coconut(18)= 21
1 watermelon = 3
Watermelon=3
Coconut=9
Orange=5
If it's 7:30 what time will it gets in an hour and a quarter?
Answers
Answer:
8:55
Step-by-step explanation:
7:30 plus 1 hour is 8:30. Quarter is 25 or 1/4. Then you add 8:30 plus 25 which gives you 8:55.
8:45
Explanation:
• 7:30 plus 1 hour = 8:30
• 1/4 of an hour is 15 minutes
8:30 + 0:15 = 8:45
math that I need help for cuz me not smart
Answers
Answer:
87
Step-by-step explanation:
1+1 need help asap asap asap PLZ PLZ PLZ
Answers
The addition of whole number 1 plus 1 is 2
How to add numbersAddition of numbers can be performed on any form of number such as
whole number,FractionsDecimal numberAddition of whole number
1 + 1 = 2
2 + 3 = 5
Addition of fraction
1/4 + 7/4
= (1+7) / 4
= 8/4
= 2
Addition of decimal
1.5 + 2.5
= 4
Learn more about addition of numbers:
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Which answer choice best represents 50/15
?
Answers
Answer:
3 1/3
Step-by-step explanation:
See attachment below
Answer:
Option (A) 3 1/3
Step-by-step explanation:
Let’s solve the improper fraction into a mixed fraction.
The simplified fraction will get a remainder but we I’ll not solve the remainder.
50/15
Quotient = 3
Remainder = 5
Fraction = 3 5/15
= 3 1/3
Hope my answer helps you ✌️
Mark BRAINLIEST
can someone answer these questions for me? I have no idea how to solve any of them.
it would be best if you showed your work please
Answers
On a coordinate plane, a triangle is located at (3, 4), and a square is located at (10, 4). What is the distance between the square and triangle?
Answers
Answer: 7
Step-by-step explanation:
You subtract 10 by 3 or you can graph it on graph paper and jump the squares.
William just won a king sized snickers bar at the county fair. It is 16 inches by 3 inches.
What is the area of the king sized snickers bar?
Answers
Answer: 48 inches
Step-by-step explanation:
16x3=48 inches
Answer: 48
Step-by-step explanation: 16 times 3 =48
ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
141 in²
Obviously don't write 141 in² because they've already wrote the in² part for you
Please Help
I need an answer ASAP
Answers
please help mark brainliest
Answers
Answer:
x.x.x.x.x.x=4
Step-by-step explanation:
the x means how many times to multiply 4 in this case your multiplying 4, 6 times to get 24
Based on the figure below, what is the value of x? (5 points)
A right angle is shown divided in two parts. The measure of the angle of one part is 50 degrees and the measure of the other part is 5x plus 15 degrees.
a 5
b 7
c 11
d 15
Answers
Answer: a. 5
Since the angle is right, we know it is equal to 90 degrees.
Using the information provided, we can set up an equation.
50 + 5x + 15 = 90
Simplifying the equation, we get:
5x + 65 = 90
Subtracting 65 from both sides, we get:
5x = 25
Dividing both sides by 5, we get:
x = 5
The circle graph describes the distribution of preferred transportation method from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can be drawn from the circle graph?
Together, Walk and Cable Car are the preferred transportation for 268 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bicycle is the preferred transportation for 40 residents.
Bus is the preferred transportation for 50 residents.
Answers
Answer: A (together, walk and cable car are the preferred transportation for 268 residents)
Step-by-step explanation:
40% (walk) + 27% (cable car) = 67%
67%=0.67
0.67*400 (total students) = 268
Not B,C, or D because:
Walk (40%) plus streetcar (15%) equals 55%, and 0.55*400=220
8% (bicycle)=0.08, 0.08*400=32
Bus (10%)=0.1, 0.1*400=40
HOPE THIS HELPED!
67%=0.67
0.67*400 (total students) = 268
Not B,C, or D because:
Walk (40%) plus streetcar (15%) equals
55%, and 0.55*400=220
8% (bicycle)=0.08, 0.08*400=32
Bus (10%)=0.1, 0.1*400=40
14 points and I will mark you brainiest if
you tell me how to do it
Answers
Answer:
10/63 because 5x2 is 10 and 9x7 is 63
The answer is 10/63
The table shows the heights in inches of seven players on a college basketball team. Which statement is NOT true?
A. The mean is greater than the median.
B. The mode is 83.
C. The range of the data is 10.
D. The median is 79.
Answers
The statement "The mean is greater than the median" is not necessarily true. The correct answer is A.
What is arithmetic mean?The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
First find the mean, median, mode, and range of the data:
Mean = (73 + 74 + 75 + 79 + 80 + 83 + 83) / 7 = 78
Median = the middle number when the data is arranged in order:
73, 74, 75, 79, 80, 83, 83 → median = 79
Mode = the most common number: 83
Range = the difference between the largest and smallest numbers: 83 - 73 = 10
So we can see that the statement "The mode is 83" is true, as well as "The range of the data is 10" and "The median is 79".
However, the statement "The mean is greater than the median" is false because the mean is actually less than the median (78 < 79).
Therefore, the answer is A.
Learn more about Arithmetic means here:
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help please help please
Answers
Answer:
nine feet is 3 yards and 6 feet is 2 yards
1=3yd 2=72
Step-by-step explanation:
9/3=3yd
6×12=72in
Question content area top
Part 1
Last month you spent 20 $ on clothing. This month you spent 180% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
Answers
Answer:
The answer is $56
Step-by-step explanation:
100% is 20, and 80% of 20 is 16. So you just have to add 16+20=36.That was this month.Then you add 20 +36 to combine the months.Therefore getting your answer.
For the proportion you write 80/100+x/20
how do the equations y = mx and y =kx compare plz help me bad answers will be reported
Answers
We can see that y = kx is a linear equation with slope k and y-intercept 0.
Hey there!
The difference is that y = kx means the "y directly varies with x", which means that y/x = k. Also, the line of the graph passes directly through the origin. Or, in other words, there is no y - intercept other than (0, 0)
y = mx could have a y - intercept not at the origin. If you have an equation in slope - intercept form, such as y = 5x + 3, than "y" does not directly vary with "x", because you can't get "m" by doing y/x, because first you have to subtract 3. In order to actually find "m", you would have to do (y - 3) / x = m (or, in this case, 5).
Hope this helps! Good luck and have a great day!
Which statements are true. select each correct answer.
1. all triangles have 3 right angles
2. all triangles are closed figures
3. only some triangles are plane figures
4. all triangles are plane figures
5. all triangles are polygon.
Answers
Answer:
2,4,5
Step-by-step explanation:
Answer:
2, 4 and 5.
Step-by-step explanation:
Calculate the area of each shape below. Figures are not drawn to scale.
Answers
Answer:
sorry its impossible to take out the ans of this
Answer:
A = 168 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )
Here b = 8 + 16 = 24 and h = 14 , then
A = \(\frac{1}{2}\) × 24 × 14 = 12 × 14 = 168 m²
Use a calculator to approximate tan 78° and round to
four decimal places.
Answers
Answer: Using a calculator, we input sin(78.35) and get 0.9794 (rounded to 4 decimal places)
Step-by-step explanation:
There are 60 minutes (minutes are denoted as ') in one degree so 21/60 = 0.35° so the angle is 78.35°.
HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!
REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!
The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answers
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143