Answer:
The solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
Step-by-step explanation:
Given the equation
[tex]x^2-4x+5=0[/tex]solving the equation
[tex]x^2-4x+5=0[/tex]
subtract 5 from both sides
[tex]x^2-4x+5-5=0-5[/tex]
[tex]x^2-4x=-5[/tex]
[tex]\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-4x+\left(-2\right)^2=-5+\left(-2\right)^2[/tex]
[tex]\left(x-2\right)^2=-1[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-2=\sqrt{-1}[/tex]
As the imaginary rule is given by
[tex]\:\sqrt{-1}=i[/tex]
so
[tex]x-2=i[/tex]
[tex]x=i+2[/tex]
solving
[tex]x-2=-\sqrt{-1}[/tex]
[tex]x-2=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
[tex]x=-i+2[/tex]
Therefore, the solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
Need help now plez i need it plez ;(
Answer:
there isnt anything?
Step-by-step explanation:
Jason is five years older than Becky, and the sum of their ages is 23. What are their
ages?
Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O
Answer:
8x-3y=3
Step-by-step explanation:
Its the only one that would give you a negative x
help? ill mark brainlest
Answer:
Step-by-step explanation:
is x ≤ -19 for inequality notation
4. Il m23 - 54º, find each measure,
a. m21
1. m27 -
km212
2
3
12
13
bm22
g. m28
1 m213 =
5
11
6
14
c. MZ4=
h. m29 =
m. m214 =
8
2
d. m25 -
10
1 m210 =
e. m26 =
JmZ11 =
Answer:
m (1) =36
m ( 2 ) = 90
m ( 4) = 36
m (5) = 90
m ( 6 ) = 54
m (7) = 126
m (8) = 54
ml9) = 126
m (l0) =, 54
m (II) =36
m (12 ) = 144
m (13) = 36
m (14) = 144
2x - 7 + 19 = 6.x - 4x + 12
PLZ HELP ASAP
Answer: infinitely many solutions
Answer:
All real numbers are solutions
Step-by-step explanation:
2x+4x-6x=7-19+12
0=0
In a two-digit number, the tens digit is 5 less than the units digit. The number itself is five more than three times the sum of its digits. What is the number?
The tens digit is 3 and the unit digit is 8. So, the number is 38.
Important information:
The tens digit is 5 less than the unit digit.The number itself is five more than three times the sum of its digits. System of equations:Let x be the tens digit and y be the unit digit.
The tens digit is 5 less than the unit digit.
[tex]x=y-5[/tex] ...(i)
The number itself is five more than three times the sum of its digits.
[tex]10x+y=3(x+y)+5[/tex]
[tex]10x+y-3x-3y=5[/tex]
[tex]7x-2y=5[/tex] ...(ii)
Using (i) and (ii), we get
[tex]7(y-5)-2y=5[/tex]
[tex]7y-35-2y=5[/tex]
[tex]5y=40[/tex]
[tex]y=8[/tex]
Substitute this value in (i).
[tex]x=8-5[/tex]
[tex]x=3[/tex]
Therefore, the number is 38.
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katiyln and lewis share sweets in the ratio 7:1 if katliyn geta 21 sweets how many does lewis get
Answer:
Step-by-step explanation:
Given Katiyln and lewis share sweets in the ratio =7:1
katliyn gets= 21 sweets
share of katiyln sweet =7x
share of Lewis sweet =X
So 7x=21 given
X=21/7
X=3
So Lewis gets x =3 sweets.
Find the measurement of 1 and 2
Answer: 1 is 120 and 2 is 60
Step-by-step explanation:
What is three fourths divided into twelve eights
Answer:
128/34
= 3.76470588235
HELP ASAP PLEASE THANKS! :))
Answer:
I believe the answer is p = -7/5
Step-by-step explanation:
Here's the equation and the workthru of my logic:
-5 (p + 3/5) = -4
Divide both sides by -5 to remove the -5 from the left side of the equation,
p + 3/5 = -4/5,
Subtract 3/5 from both sides to solve for p,
p = -4/5-3/5
p = -7/5
Solution is -7/5
Hope this helps.
Good luck!
Jalissa works 20 hours a week while she is attending college. She desides that she needs to put a little more time into her studies, so she reduces her hours by 15%. How many hours is Jalissa now working?'
Answer:
It should at least be 17 forgive me if I'm wrong
Step-by-step explanation:
Answer:
17 hours
Step-by-step explanation:
15 percent of 20 hours is 3 hours. 20 - 3 = 17 so the answer is she is now working 17 hours.
Tommy and 6 of his friends brought 12 1/4 pounds of Jolly Ranchers $1.20 a pound. If the cost of the Jolly Ranchers is divided evenly among Tommy and his 6 friends, how much will each person pay? (Help me please ;-;)
Answer:
$2.10
Step-by-step explanation:
To find the total cost, multiply.
12.25*1.20 = 14.7
Tommy and 6 of his friends means 7 people.
Cost per person will be:
14.7/7 = 2.1
John had 506 marbles. Alice gave him some more marbles. John then had a total of 1,550 marbles. How many marbles did Alice give John?
Answer:
1'044
Step-by-step explanation:
First you borrow one from the five from the zero and subtract six form the 10. Then you subtract normally.
Answer: 1,044
Step-by-step explanation: 1,550 - 506 = 1,044
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *
Answer:
(7, - 1)
Step-by-step explanation:
[tex]x = y + 8.....(1) \\ \\ x = 5y + 12....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 5y + 12 = y + 8 \\ \\ 5y - y = 8 - 12 \\ \\ 4y = - 4 \\ \\ y = \frac{ - 4}{4} \\ \\ y = - 1 \\ \\ plug \: y = - 1 \: in \: equation \: (1) \\ \\ x = - 1 + 8 \\ \\ x = 7 \\ \\ (x, \: y) = (7, \: - 1)[/tex]
Answer:
(7, - 1)
Step-by-step explanation:
What is the slope of the line represented by the equation y = {x+ 1 ? - 0 0 1 2
Answer:a is the answer
Step-by-step explanation:
Will give brainliest if correct.
C.
tan(450)
Help please!
Answer:
The answer is 0
Step-by-step explanation:
through (1, 2), slope = 7
Write the equation of a line in slope-intercept and standard form.Given 1 point and a slope
Answer:
The equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
Step-by-step explanation:
Given that
Slope of line: 7
Point : (1,2)
Slope-intercept form of equation of line is given by:
[tex]y = mx+b[/tex]
Here m is the slope and b is y-intercept.
Putting the value of slope
[tex]y = 7x+b[/tex]
To find the value of b, we have to put the point in the equation
[tex]2 = 7(1) +b\\2 = 7+b\\2-7 = b\\b = -5[/tex]
So the equation will be:
[tex]y=7x-5[/tex]
The standard form of equation of line is:
[tex]Ax+By = C[/tex]
To convert the equation in standard form, subtracting 7x from both sides
[tex]y-7x = 7x-5-7x\\-7x+y = -5[/tex]
Hence, the equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
The equation of a line in slope-intercept and standard form through (1, 2), slope = 7 is 7x - y = 5.
To find the equation of a line in slope-intercept and standard form.
First, we can write the equation in point-slope form. The point-slope formula states:
(y − y₁) = m (x − x₁)
Where m is the slope and
(x1, y1) is a point the line passes through.
Substituting the values from the problem gives:
(y − 2) = 7(x − 1)
Now, we need to convert to standard form.
The standard form of a linear equation is:
Ax + By = C
where, if at all possible,
A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
We convert as follows:
y − 2 = (7 × x) − (7 × 1)
y − 2 = 7x − 7
−7x + y − 2 = − 7
Adding 2 in both side.
−7x + y − 2 + 2 = − 7 +2
-7x + y = -5
7x - y = 5
Therefore, the equation of a line in slope-intercept and standard form is 7x - y = 5.
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**A lady came to the market to sell eggs. Her first customer bought 1 2 of all her eggs and 1 2 of an egg. Her second customer bought 1 2 of all the remaining eggs and 1 2 of an egg. Finally, a third customer bought 1 2 of all of her remaining eggs and 1 2 of an egg. At this point she had sold all of the eggs she had brought to the market so she went home. How many eggs did the lady have when she first came to the market?
Answer:
She had 7 eggs when first went into the market
Step-by-step explanation:
Three times multiply 1/2 and minus 1/2 until you get zero.
7 x 1/2 - 1/2 = 3
3 x 1/2 - 1/2 = 1
1 x 1/2 - 1/2 = 0
Answer:
7
Step-by-step explanation:
What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run
[tex]y=mx+b[/tex]
where m is slope
and b is y-intercept
Carlton goes grocery shopping over the weekend. He wants to buy the apples that get him the better deal. Which apples should he buy (5 lbs or 8lbs)?
Answer:
8lb!
Step-by-step explanation:
He would have more apples so he wouldent have to go out to get more!
HELP PLEASEEE I NEED HELP QUICK
Which of the following are properties of a perfect square trinomial? Select all
that apply.
A. The first and third terms must be perfect squares.
B. Neither of the perfect
squares can have a minus sign.
C. If the perfect square terms are A2 and B2 then the other term
must be 2 AB or -2AB.
D. None of the above is a property of a perfect square trinomial.
Answer:
C) If the perfect square terms are A^2 and B^2 and other terms must be 2 AB and -2AB
Step-by-step explanation:
As,
[tex](a^2+2ab+b^2)=(a+b)^2\\(a^2-2ab+b^2)=(a-b)^2[/tex]
Answer:
A, B and CStep-by-step explanation:
The Perfect Squares are the squares of the integers
Perfect square trinominal is: a² ± 2ab + b² {which is (a±b)²}
So:
The first and third terms must be perfect squares and neither of the perfect squares can have a minus sign and If the perfect square terms are A2 and B2 then the other term must be 2AB or -2AB
The local newspaper has letters to the editor from 50 people. If this number represents %8 of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
625 is the correct answer :)
Step-by-step explanation:
hope this help
The newspaper has 625 readers.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
8% = 50 people
Multiply 100/8 on both sides,
100% = 100/8 x 50 people
100% = 625 people
Thus,
There are 625 readers.
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Mr. Jeff has a budget of $150 to spend on music books. The cost of the books is $12. What is the maximum number of books can he buy?
Answer:
12 books
Step-by-step explanation:
if each book costs 12 dollars, and the budget is 150, then all you need to do is divide 150 by 12, in which case you will get 12.5.
you aren't able to go and by twelve and a half books, so you round down to twelve, and you will have six dollars to spare.
A company makes cylindrical crackers that have a cylindrical hole in the middle.
Answer:
There's no question. This is just a statement.
Step-by-step explanation:
please help i don't understand this
Answer:
Sorry.........................
HELP! Please, 15 points!
Answer:
C.
Step-by-step explanation:
Which of the following steps will speed up the reaction between a baking soda solution and a calcium chloride solution in a beaker?
Keep the beaker in a freezer.
Keep the beaker in sunlight.
Pour the solutions into a flat dish.
Pour the solutions into a narrow test tube.
Answer: Indeed It is b
Step-by-step explanation:
Help will mark Brainliest
Answer:
x=116°
Step-by-step explanation:
180° - 64° = 116°
