The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the roots of the quadratic equation are x= 2 + i.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
A) x²-4x-5=0
Here, x=[4±√(16-20)]/2
x=[4±2i]/2
x=2±i
x=2+i or x=2-i
Therefore, option A is the correct answer.
To learn more about the solution of quadratic equation visit:
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A measure of how much space something takes up ?
Answer:
Volume
Step-by-step explanation:
Mass is measured using a scale. Volume is the amount of space matter takes up. Volume can be measured by multiplying the length, width, and height of an object, or by using a measuring cup and seeing how the measurement of water changes in a cup. Density is the amount of matter an object has in a certain space.
Answer:
VOLUME
Step-by-step explanation:
(-10) + (-10) = 10 –
PLS HELPPPP
Answer:
Step-by-step explanation:
-10 + -10 = -20
so
10 - _ = -20
10 - 30 = -20
IMPORTANT!! in a unit circle, what is the relationship between arc length and central angle?
The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.
Which expression represents the factor form of the equation above ?
Answer:
(x+4)(x+25)
Step-by-step explanation:
x*x=x^2
x*20=20x
4*x=4x
4*25=100
x^2+20x+4x+100
put the commons together and you will get
x^2+29x+100
10 is 70% of what number? If necessary, round to the nearest tenth.
Answer:
The required answer is 7.
Step-by-step explanation:
=10*70/100
=7
So hard. Dont reports I actually cant take the pictures off, I needed help with a question but they dont come off. Also what's the square root of 282.93?
Answer:
whegvrjrbel)hbrbeueuejneje
The sum of a number and 9 is 21. Find the number.
Answer:
12
Step-by-step explanation:
how much grams are in a milligram
there are 1000 milligrams in 1 gram
Hope this helps
Help please and tysm
6 x (5 + 4) - 3 - (2+1)
A 18
B) 30
C) 48
D) 54
Answer:
54
Step-by-step explanation:
When a point is reflected across a line of reflection, it remains the same distance from the line.True or False
Answer:
True
Step-by-step explanation:
To answer this question, I will use the following illustrations.
Assume a point (x,y) is reflected across the x-axis.
Using reflection rule, the new point will be: (x,-y)
On a coordinate plane, the x-axis is represented as: (x,0)
So, we will calculate the distance between (x,y) and (x,0) and also calculate the distance between (x,-y) and (x,0) using the following distance formula.
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between (x,y) and (x,0)
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]D= \sqrt{(x - x)^2 + (0 - y)^2}[/tex]
[tex]D= \sqrt{(0)^2 + (- y)^2}[/tex]
[tex]D= \sqrt{0 + y^2}[/tex]
[tex]D= \sqrt{y^2}[/tex]
[tex]D = y[/tex]
Distance between (x,-y) and (x,0)
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]D= \sqrt{(x - x)^2 + (0 - (-y))^2}[/tex]
[tex]D= \sqrt{(0)^2 + (0+y)^2}[/tex]
[tex]D= \sqrt{0 + y^2}[/tex]
[tex]D= \sqrt{y^2}[/tex]
[tex]D = y[/tex]
See that the calculated distance are equal.
Hence, the given statement is true
When I subtract 14 from it,
the result is 13 more than 20.
what is the number?
Answer:47
Step-by-step explanation:
Make a hypothesis that the number is X, so X-14=20+13
X=20+13+14, eventually, you'll get that X=47
But I'm not sure if you mean 13 times more than 20, or just 13 more than 20
Need this answer asap
Answer:
Its sideways i cant see the question
Step-by-step explanation:
The table shows the balance of an account each year.
Years Balance
0 $40
1 $42
2 $44
3 $46
What is the interest rate of the account? What is the balance after 10 years?
Answer:
The interest rate is $2, the balance after 10 years will be $60.
Step-by-step explanation:
Each year the balance of the account increases by $2, so that would be the interest rate. After 10 years, the account will have 40 + 2 * 10 which equals $60.
Write the ratio 1/4 km 2/3 km in the simplest form
Step-by-step explanation:
the ratio is given above
Step-by-step explanation:
the ratio is given above
what plus 150 equals to 180
Answer:
30
Step-by-step explanation:
150+30=180
Hope This Helps!!
(brainliest please, if possible)
Answer: 150 + 30 = 180
Step-by-step explanation: hope this helps!
Please help 40 points!!!! What's a Translation of (x+15, y-20). WILL MARK BRAINLIEST FOR RIGHY ANSWER
Answer:
x= y-15
Step-by-step explanation:
hope it helps
Leah puts together gift bags of toys to sell at the flee market. She places exactly 6 toys in each bag. She only sells full bags of toys Leah has 280 toy cars. She can fill 46 toy cars Part B Leah has enough toy trucks to fill 25 gift bags. How many toy cars and toy trucks were put in gift bags to sell at the flee market
Answer:
320 toy cars and 25 toy trucks
Step-by-step explanation:
find the X and the Y intercept of
4x-y=12
Answer:
x-intercept: (3,0)
y-intercept: (0, -12)
I hope this helps!
What are the answers
2x = 10; x=?
-3x = 21;x=?
1/3x=6; x=?
-1/2x = -7;x?
Answer:
1) 5 2)7 3)18 4) 14
Step-by-step explanation:
Find the measure of the missing angle.
A box indicates a 90° angle.
So to find m<a, we can setup the equation 41 + a = 90.
Now subtract 41 from both sides to get a = 49.
A certain sum of money gives $ 510 as compound interest 12¹/₂ % per annum for 2 years. Find the simple interest on the same sum of money at the same rate for the same period of time.
Answer:
$127.5
Step-by-step explanation:
Given data
P = $510
r= 12.5%
t= 2 years
The expression for simple interest is
SI= PRT/100
SI= 510*12.5*2/100
SI= 12750/100
SI= 127.5
Hence the Simple interest is $127.5
21.4 rounded to hundredths place
Answer:
21.40 or 21.40, it's rounded to the same number
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!!
Answer: b
Step-by-step explanation:
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:
580 cm^2
Step-by-step explanation:
First, find the area of the front and back. 20*10=200
There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400
Then, the sides. 3*20=60*2=120
Then, the top and bottom 10*3=30*2=60
400+120+60=580
Answer:
420
Step-by-step explanation:
60+60+30+30+120+120
hope this helped :)
Enter 2/5 and 1/3 as a pair of equivalent fractions with the least common denominator between the two fractions.
Answer:
2/5 = 6/15
1/3 = 5/15
Step-by-step explanation:
LCD of 5 and 3 is 15.
So 2/5 = 2*3/15 = 6/15
and
1/3 = 5*1 / 15 = 5/15
can someone pls help me i don’t get this
Answer:
60 degrees
Step-by-step explanation:
This triangle looks like an equilateral triangle and the angle-indicating curvy lines are acute, so it should be 60 degrees.
Hope that helps!
Please help me I posted this before using all my points and now I'm reposting it Bc no one helped me
When Sarah was 6 months old, she was 21 in. tall and her head had a diameter of 4.5 in. Now, at 20
years old, she is 6 ft. 1 in. tall and her head has a diameter of 7.65 in. If Sarah is typical, should a
person at 20 years of age be considered "similar" to herself at 6 months of age? For all parts of the
problem write an equation and solve, showing ALL the work.
a. Find the ratio of height-to-head diameter for Sarah at 6 months old. If the ratio were the
same when she was 20 years old, what diameter would her head have?
b. Find the ratio of height-to-head diameter for Sarah at 20 years old. If the ratio were the
same when she was 6 months old, how tall weld she be at 6 months?
Draw or add images here
C
How close are the two ratios you found in Part (a) and Part (b)?
d. If Sarah were taller or shorter either at 6 months of age or 20 years of age, would this make
her more or less "similar" at those two ages? Explain.
Answer:
a. ratio of height to head at 6 months old is 21/4.5 =(4.66) (the height is 4.66 times the head)
- if the ratio is the same when she is 20 she would have a head with (6ft 1in =73inches) 73/ 4.66 = 15.67 inches in diameter
b. ratio height to head at 20 yrs old = 73/7.65 = 9.54 (the height is 9.54 times the head)
-she would be about 15.6 * 4.66 = 72.70 inches tall at 20 yrs old if we the ratio at 6 months old
c. in part a ratio is 4.66, in b it is 9.54. it's a big difference
d.if she was taller at 6 months old. her head size will be smaller when she is 20 yrs compare to what we calculate.
the she was shorter at 6 months old. the ratio will be smaller and the head may have been as big as her body
Let me know if it helps, if you can please give brainliest
McKenzie earns $15 per lawn mowed she also earned $10 for babysitting she earned 100 total, what does that look like in algebra form? Please help.
Answer:
15a + 10b = 100
Step-by-step explanation:
Given:
Cost of each lawn mowed = $15
Cost of each babysitting = $10
Total money earned = 100
Find:
Algebra form
Computation:
Assume;
Number of lawn mowed = a
Number of babysitting = b
So,
15a + 10b = 100
I NEED HELP ASAP PLEASE HELP DONT JUST SPAM :(
Answer:
i think for 4 is b altho im not sure
Step-by-step explanation:
explain why the expression 2y-y can be written as why
Answer:
y
Step-by-step explanation:
2y-y=y
Answer: 2y-y can be written as y because 2y means you have 2 y’s and 2y’s minus 1 y is just 1 y
Step-by-step explanation:
