Answers
Answer:
Step-by-step explanation:
=
−
±
2
−
4
√
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
−
2
+
1
0
=
0
x
2
−
2
x
+
10
=
0
x2−2x+10=0
=
1
a
=
1
a=1
=
−
2
b
=
−
2
b=−2
=
1
0
c
=
10
c=10
=
−
(
−
2
)
±
(
−
2
)
2
−
4
⋅
1
⋅
1
0
√
2
⋅
1
x
Answer:
C. x=1+3i, x=1-3iStep-by-step explanation:
[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]
Related Questions
Convert fractions into percents
1/16= __
Answers
Answer:
160%
Step-by-step explanation:
Multiply both numerator and denominator by 100. 1.6 × 100100.
= (1.6 × 100) × 1100 = 160100.
Write in percentage notation: 160%
Amelia and her children went into a grocery store and she bought $10 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a total of 12 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Amelia bought.
Answers
Answer:
8 apples
4 bananas
Step-by-step explanation:
8 apples (8$)
4 bananas (4$)
12 total
10 $ total
hope it helps
Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A. point U
B. point V
C. point W
D. point X
Answers
Answer:
the answer is A. point U
or it's point W
Help please! Will give brainliest!!
Answers
Refer to the attachment
Answer:
$714Step-by-step explanation:
Given:
A = 9000 i = 8.2% or 0.082 n = 9 d = ?Use the given formula and find d:
[tex]A=d(\frac{(1+0.082)^9-1)}{0.082})[/tex][tex]9000=d*12.6[/tex][tex]d=9000/12.6[/tex][tex]d=714[/tex]A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.
Answers
Answer:
D
Step-by-step explanation:
I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:
D and C
Step-by-step explanation:
We are doing the elimination method. We are subtracting so we can eliminate the x variable
x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3
Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.
x - 3 = 2.
Add 3 on both sides and you get
x = 5
Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!
A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?
Answers
Answer:
(6p7q)²
Step-by-step explanation:
you have to square the length to find the area of a square
The area of the bedroom would be (6p7q)² square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A bedroom is in the shape of a square. The length of the room is 6p7q.
According to the given question, we can write the dimension as:
The width of the room = 6p7q units
The length of the room = 6p7q units
The area of the room = width of the room × length of the room
The area of the room = 6p7q × 6p7q
Apply the multiplication operation,
The area of the room = (6p7q)² square units
Therefore, the area of the room is (6p7q)² square units.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
The difference between 12 and ten times a number is -28
Answers
Answer:
4Step-by-step explanation:
[tex]n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}[/tex]
Find the value of the expression 4a + 7 when a= 1/2.
plssss help quiiick
Answers
Answer:
The answer is 9
Step-by-step explanation:
1/2 of 4 is 2, so you plug that in
2+7=9
Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?
O A. y = 5x
OB. y = 5x + 10
O C. y = x
OD. y = 5x - 1
Answers
Answer:
y =5x
Step-by-step explanation:
[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]
(5 - 0) = m(1 - 0)
5 = m(1)
5 = m
[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]
y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x -5 + 5
y = 5x
Which is greater, -6.4 or -6.5? please explain !!
Answers
Answer:
-6.4 is GREATER.
The number closest to 0 is greater.
w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls
Answers
If xcos(x)= 2, find (-x) • cos(-x)
Answers
[tex](-x) \cos(-x)\\\\=-x \cos x \\\\=-(x \cos x)\\\\=-2[/tex]
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 4, negative 3).
According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)
Answers
Answer:
-4 -3
Step-by-step explanation:
geomtry plzz help 15 points
Answers
Answer:
[tex]23<d<7[/tex]
Step-by-step explanation:
To solve this we have to find the number greater than [tex]d[/tex] and less than
the way we find these is by adding the larger number with the smaller number and subtracting the larger number with the smaller number
[tex]15+8=23\\15-8=7\\[/tex]
Our answer is [tex]23<d<7[/tex]
brainliest please
If a recipe for a cake calls for 2 1/2 cups of flour and Mary wishes to make 3 cakes, how many cups of flour does she need A. 6 B. 6 1/2 C. 7 1/2 D. 9 E. 9 1/2
Answers
Answer:
option C 7½ is correct hope this answer helps you dear! take care
Need help!! Answer asap!! No links! What is the most likely reason that nonmetals are electrical insulators?
A. Since valence shells are mostly empty in nonmetal atoms, the atoms attract and hold any electrons they can in order to fill their valence shells.
B. Since valence shells in nonmetal atoms are almost full, the atoms attract electrons and hold them tightly to fill their valence shells.
C. Since all nonmetals have valence shells that are full, they hold electrons tightly to avoid changing.
D. Since all nonmetals have valence shells that are completely empty, they do not attract or release any electrons.
Answers
Answer:
B. because it just isssssssss I'm typing things to let me answerrr
if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answers
Answer:
Step-by-step explanation:
It's completely false. If I remember the odds it takes 23 people to get a probability of 1/2 to get a 50% chance of two of the people to have the same day, never mind the same year.
When I was growing up, I had the pleasure of sharing my birthday on the same day as one of my classmates. I was in Grade Three at the time. We were born in the same year. That's the only time I ever heard of it during my childhood. There were 26 in the class.
Later on when I was teaching I tried it in a class of 20. I had forgotten that the class contained a set of twins.
If the class is more random 23 people gives a 50% chance of a duplication of the year but not the year.
Find the sum or difference. Enter the answer as a fraction, using the slash ()
as the fraction bar.
2/15+5/15
Answers
Answer:
7/15
Step-by-step explanation:
2/15 + 5/15 = 7/15
Hoped this helped.
The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12 mice?
Answers
Answer:
18
Step-by-step explanation:
you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18
Line a passes through points (3, 1) and (5, 10). Line b is parallel to line a. What is the slope of line b?
Answers
Answer:
9/2
Step-by-step explanation:
Answer:2.8
Step-by-step explanation: casue yeas.
11.1 ÷ 3 please tell me
Answers
Answer:
3.7
Just divide 11.1 by 3 in the calculator
Answer:
3.7
Step-by-step explanation:
make me a brainliest
If a crate of 250 apples costs $95, what is the unit cost
Answers
The unit cost of an apple in a crate of 250 apples is $2.63.
Given the following data:
Total number of apples in a crate = 250 applesCost of a crate of apple = $95To determine the unit cost of an apple:
In this exercise, you're required to calculate the cost of one apple in a crate, knowing that there are 250 apples in total at a cost of $95.
Thus, we would divide the total number of apples by the total cost of all the apples as follows:
[tex]Unit\;cost = \frac{Total\;apples}{Total\;cost}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Unit\;cost = \frac{250}{95}[/tex]
Unit cost = $2.63
Read more on cost here: https://brainly.com/question/13214374
PLEASE HELP!!!!!!!!!!!!!!!!!
Answers
Answer:
7.11[tex]\leq[/tex]-7.1
Step-by-step explanation:
Answer:
Question 1- C. 7.11 > -7.1
Question 2- True
Question 3- -3 < -1 and -3 ≤ -1
Question 4- I don't know
Question 5- {3,4}
Step-by-step explanation:
I ran it through the calculator only on question 4 I didn't know the answer
-Rocketgamer360
Will the answer to the addition problem below be odd or even?
2156 +992 = ?
Answers
Answer:
Even
Step-by-step explanation:
When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.
1 1/16 divided by 1/1/16
Answers
Answer:
i dont know
Step-by-step explanation:
i really dont know
Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?
Answers
Elli left home8:30 and returned at 1:25how long was she away from home?
Answers
Answer:
3 hours and 45 minutes assuming its from am to pm
Step-by-step explanation:
Hope This Helps
PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.
Answers
Step-by-step explanation:
xy=360
x-y=75
(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1
The Washington High key club is selling brownies and chocolate chip cookies to raise money. Their table only has room for 100 baked goods. Previous bake sells has taught them to plan to bake at most 30 brownies and at least 50 cookies. Write and graph a system of inequalities to represent the possible number of baked goods.
Answers
Step-by-step explanation:
Let x - brownies, y - cookies.
According to given w have following inequalities
Their table only has room for 100 baked goods:
x + y ≤ 100Plan to bake at most 30 brownies and at least 50 cookies:
x ≤ 30y ≥ 50See attached for the graphical solution
The solution is within the marked boundaries.
Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days
Answers
Solution:
[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]
Answer:
13:5
Hope it helps.
Do comment if you have any query.