Solution of the equation is x = 3 ± i that is a complex number where 3 is the real part and i is the imaginary part.
What is quadratic equation?The equation of two-degree polynomial having one variable is called quadratic equation.
The solution of a quadratic equation is either real or complex. We use quadratic equation formula for solution whenever we cannot expand, and factoring a given two-degree polynomial equation.
How to solve the given equation?given equation, x² = 6x -10
x²-6x +10 =0
This equation cannot be expanded so we need to write the formula for quadratic equation to solve it.
we know that standard form of a quadratic equation is given by
ax² + bx +c = 0
where a is the coefficient of x², b is the coefficient of x and c is the constant.
the solution of the equation is given by x = -b ± √ (b² - 4ac) / 2a
Now, the solution for the above equation is x = 6 ± √ (6² - 4×1×10) / 2×1
x = 6 ± √ (36 -40) / 2
x = 6 ± √-4 / 2
as √-4 = √-1 ×2
x = 6 ± 2 √-1 /2
divide both numerator and denominator by 2
x = 3± i as √-1 = i
this is the solution in (a + bi) form a = 3 and b = 1
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Draw a model for the fraction 1/6
Answer:
Hope the picture helps you draw.
Step-by-step explanation:
Help me ASAP! Please
Answer:
i think the answer is b
Step-by-step explanation:
Answer:
b) is correct dear!
Step-by-step explanation:
see it carefully .... you will come to know ! *b* one is exactly right.....
Think about all the models and strategies you have discussed today. Describe how one of them helped you better understand how to find the slope of a line.
Answer:
I could find the slope of a line by looking at the gradient of a graph that the line creates. If the line is linear, then the gradient will be a constant value, which I can use to find the value of the slope. If the line is not linear, then I can use a derivative to find the slope at a given point. However, if the line is concave or concave up, then I will need to take the second derivative of the equation to determine which point on the line is closest to the point that I'm trying to calculate.
Step-by-step explanation:
help pls fast it is urgent
Answer:
The volume formula is pi r^2h because it is similar to the formula to the area of a circle with an extra addition of the height variable, since a cylinder is just a circle with depth. The surface area formula is 2pirh +2pi r^2 because it measures the area of both circles as well as the depth. This formula is similar to the circumference formula of a circle.
Step-by-step explanation:
Mark me brainliest pls
A Triangle has two sides of length 16.4 and 10.2. What compound inequality describes the possible length for the 3rd side
Answer:
6.2 < x < 26.6
Step-by-step explanation:
The length of a side of a triangle is between the difference and the sum of the lengths of the other two sides.
16.4 - 10.2 = 6.2
16.4 + 10.2 = 26.6
Let x = length of third side.
6.2 < x < 26.6
What number multiplies to -50 and adds to 5?
Answer:
10 and -5
Step-by-step explanation:
10(-5) = -50
10 + (-5) = 5
Good luck!
Answer:
10 and -5
Step-by-step explanation:
Which simplified ratio correctly compares 5 meters to 100 centimeters?
A. 5:1
B. 20:1
C. 1:5
D. 1:20
The simplified ratio that compares 5 meters to 100 centimeters is 5: 1 .Option A
How to determine the ratioRatio is simply described as the non equal comparison of two numbers, variables, or events.
It shows how many times a number or variable contains another.
The comparison is also based on size.
From the information given, we have;
5 meter to 100 centimeters
It is important to note that;
100 centimeters = 1 meters
Also, 1 meter= 100 centimeters
5 meters = x centimeters
cross multiply
x = 100(5)
Multiply the values
x = 500 centimeters
Then,
5 meters = 1 meter
Hence, the ratio is 5:1
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please answer<3 its simple but ion know how-
Answer:
y= 4/3x + 2
Step-by-step explanation:
The slope is rise/run. It would be 8/6. Once you simplify, it's 4/3. the y intercept is at 2. Put it together, and there's your answer.
hope this helps!!
A jacket normally sells for $27.50.it is on sale for 20%what is the new price
Answer:
$22
Step-by-step explanation:
27.50 20 present off so you get 5.5 substract and u get 22
In 2016 the population of North Carolina was approximately 1 × 10^7. The population of Raleigh was approximately 4.6 × 10^5. How many times larger was the population of North Carolina than the population of Raleigh, to the nearest whole number?
If x = -6, which inequality is true?
Question 1 options:
-5 - 3x > 10
-3 - 5x < -14
1 - 2x > 13
2 - x < -3
Answer:
1 - 2x > 13
Step-by-step explanation:
this is the correct answer
Consider the expression.
2x (x + 3y) +5 (2x - 2)
How many terms does the expression have when simplified completely?
When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.
Consider given expression.
2x (x + 3y) +5 (2x - 2)
We simplify above expression.
2x (x + 3y) +5 (2x - 2)
= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)] ......(distributive property)
= [2x² + (2 × 3)xy] + [(5×2)x - 10] ............(commutative property)
= (2x² + 6xy) + (10x - 10)
= 2x² + 6xy + 10x - 10
= 2x² + 10x + 6xy - 10 ...........(by commutative property of addition)
when given expression simplified completely then it would be,
2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10
The number of terms in an expression 2x² + 10x + 6xy - 10 are 4
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Water guns are on sale this week. If
this water gun is $8.50, how much
will it cost after the 30% discount
and an 8% sales tax.
Answer:
$6.43
Step-by-step explanation:
8.50 times 0.30=2.55
8.50-2.55=5.95
5.95 times 0.08=0.476
0.476+5.95=6.426 rounded would be $6.43
Write 63/90 and 30/42 as fraction In simplest form then determine whether the ratio form a proportion
Answer:
7/10 and 5/7 the ratio does not form a proportion
A right triangle has two sides with lengths 10 and 10. What is the length of its third side?
Answer:
its C
Step-by-step explanation:
Gaya buys 2 oranges and 1 cauliflower she pays £2.00
Esteben buys 4 oranges and 1 cauliflower he pays £2.90
Work out the price of one orange
Answer:
Step-by-step explanation:6
Suppose that $a$ is a multiple of $3$ and $b$ is a multiple of $6$. Which of the following statements must be true? A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$. C. $a-b$ is a multiple of $6$. D. $a-b$ is a multiple of $2$. List the choices in your answer separated by commas. For example, if you think they are all true, then answer "A,B,C,D".
The statements that are true, based on the multiples of 3 and 6 are:
A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$. How do multiples relate ?When a number is a multiple of a smaller number, then all the multiples of that larger number, will be the multiples of the smaller number.
This means that all the multiples of 6 ( including b ) will be multiples of 3 as well because 6 is a multiple of 3.
It is also interesting to note that the difference between the multiples of 3 are also multiples of 3. This means that a - b will result in a number that is a multiple of 3.
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A scale drawing of a rectangular playground has a length of 30 inches and a width of 20 inches as shown. The scale is 1 inch = 15 feet. What is the area of the actual playground?
10 points
Answer:
Step-by-step explanation:
L x W = A
L = 30 * 15 = 450.
L = 450.
L x W = A
450 x ? = A
W = 20 X 15
W = 300.
L x W = A
450 x 300 = A
A = 135,000
HELP ! Will give BRAINLEIST
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Trigonometric Ratios.
10.) Cos 40° = z/32 , Hence z = 24.51
11.) Sin 58° = 27/x , hence x = 31.83
12.) Tan 33° = w/19 , hence w = 12.33
13.) Cos 52° = k/8.7, Hence k = 5.35
The model below represents 2 x + 1 = negative x + 4. 2 green long tiles and 1 green square tile = 1 long red tile and 4 square green tiles What is the value of x when solving the equation 2 x + 1 = negative x + 4 using the algebra tiles? x = negative 3 x = negative 1 x = 1 x = 3
Answer:
The model you described is a mathematical representation using algebra tiles, and it represents the equation 2x + 1 = -x + 4.
Step-by-step explanation:
To solve this equation for x, we need to isolate x on one side of the equation by using the operations of algebra (such as addition, subtraction, multiplication, and division).
In this case, we can start by adding x to both sides:
2x + 1 + x = -x + 4 + x
This gives us:
3x + 1 = 4
The next step would be to subtract 1 from both sides:
3x = 3
then we divide both sides by 3
x = 1
So x=1 is the solution.
The algebra tiles help to visualize the manipulation of equations, but the actual solving process is algebraic manipulation of the equation.
Arjun is hiking from a mountain lodge to a nearby summit. The probability that he will take the longest trail is 59. The odds against Arjun taking the longest trail are _[blank]_.
What odds best complete the sentence?
Enter your answer as “m:n{}^{\prime\prime} where m and n are the smallest integers possible, like this: 3:2
The odds against Arjun taking the longest trail are 4 : 9 .
How to find the probability ?The probability that when Arjun is hiking from the mountain lodge to the nearby summit, he takes the longest trail, is 5 / 9.
This means that the odds that Arjun will not take the longest trail, or rather, the odds against him taking the longest trail, will be the difference between 1 and the probability that he takes the longest trail:
= 1 - 5 / 9
= 4 / 9
When given as a ratio, this would be:
= 4 : 9
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5/9 (y+3)=40 I need help to solve this it’s in algebra
Answer:
= 69
Step-by-step explanation:
Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.
1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40
2) 5y + 15 / 9 = 40
3) 9 ( 5y + 15 / 9) = 9 40
14)
Which statement best describes the solutions of a two-variable equation?
A)
The ordered pairs must lie near the graphed equation.
B)
The ordered pairs must have x = 0 for one coordinate.
C)
The ordered pairs must lie on the graphed equation.
D)
The ordered pairs must have y = 0 for one coordinate.
PLEASE HELP!!
Answer:
Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.
Answer: A) The ordered pairs must lie near the graphed equation
Help Or Else I wiLl TrOw YoU INto A ToLiet
Answer:
n o
Step-by-step explanation:
I refuse to help. punish me and put me in the toilet
jk lol
Answer:
i throw u in a toilet
Step-by-step explanation:
now u in a toilet
A hockey team scored the following number of goals in their last 5 games:
2,3,5, 3,2
Which is the mean absolute deviation of the number of goals?
Hurry pls
The mean absolute deviation of the number of goals is 0.8 goals
What is Mean Absolute Deviation ?The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.
The average distance between data points and a center point is referred to as mean absolute deviation. N is the number of words in the sample, where xi is the sample's individual value and x is the sample's mean or average.
Enter the numbers in the provided input box, separated by commas.To determine the mean absolute deviation for a set of data, click the "Calculate" button.To obtain the mean absolute deviation for the various figures, click the "Reset" option to clear the fields.The mean of the goals scored is = (2+3+5+3 +2)/5 = 3
The Mean Absolute Deviation is = [tex]\frac{1}{5}\{|(2-3)| + |(3-3)| + |(5-3)| + |(3-3)| + |(2-3)|}\}\\[/tex] = 4/5 = 0.8
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can some help me with this question?
Answer:
i think it's reflection followed by translation
Step-by-step explanation:
Answer:
step 1) glide translation of EFG by one unit to the left and 2 units down
step 2) reflection over the x-axis
Step-by-step explanation:
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.
What is the multiplicative rate of change of the exponential function represented in the table?
1.5
2.25
3.0
4.5
The multiplicative rate of change of the exponential function represented in the table is 1.5.
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the multiplicative rate of change of the exponential function represented in the table, we need to look at the ratio of consecutive
y-values.
The first ratio is:
6.75 / 4.5 = 1.5
The second ratio is:
10.125 / 6.75 = 1.5
The third ratio is:
15.1875 / 10.125 = 1.5
Since all three ratios are the same, we can conclude that the function is exponential with a constant multiplicative rate of change equal to 1.5.
Therefore,
The multiplicative rate of change of the exponential function represented in the table is 1.5.
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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 2)(0,2) and (3, 686)(3,686).
Which of the following is a perfect square trinomial?
(A) 5x2 - 5x + 1
(B) 5x2 - 10x + 5
(C) 10x2 - 20x + 5
(D) 25x2 - 20x + 3
(E) 25x2 + 20x + 4
Answer:
B is the perfect square
Step-by-step explanation:
Pls can someone answer these two I will give brainliest and 30 points
Answer:
The first one is false.
3(2 ÷ x)
The second is true.