Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps
Step-by-step explanation:
Answer:
[tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
Step-by-step explanation:
Hello!
The quadratic formula is: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], derive from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex].
The expression 3x² - 2x + 1 is a lot like our standard form:
a = 3b = -2c = 1Let's plug in the values and solve.
Solve the Quadratic Formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(1)}}{2(3)}[/tex][tex]x = \frac{2 \pm\sqrt{4 - 8}}{6}[/tex][tex]x = \frac{2 \pm \sqrt{-4}}{6}[/tex][tex]x = \frac{2 \pm 2\sqrt{-1}}{6}[/tex][tex]x = \frac{ 1 \pm 1\sqrt{-1}}{3}[/tex]The roots are [tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
Learn more about the derivation of the quadratic formula here:
https://brainly.com/question/11630991
Which list of numbers is ordered from greatest to least?
A. –2 1/5, 2 1/4, 2.23, –2
B. 2 1/4, 2.23, –2, –2 1/5
C. –2, –2 1/5, 2 1/4, 2.23
D. –2 1/5, –2, 2.23, 2 1/4
Answer: B
Step-by-step explanation:
2 1/4 in decimal form: 2.25
-2 1/5 in decimal form: 2.20
B converted into decimals: 2.25, 2.23, -2, -2.20
A dog walking company charges $90 to walk 6 dogs. They charge the same amount of money to walk each dog. Which table represents the relationship between the number of dogs the company walks and the amount of money they charge?
Answer:
15
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i did k12
Two parallel lines are cut by a transversal. What is the measure of 26?
A. 180°
B. 90°
C. 123°
D. 57°
Answer:
57
Step-by-step explanation:
1+2=180
123+2=180
2=180-123
2=57
2=6=57 ( because 2 and 6 are 2 isotopic angles)
In Phoenix, Arizona, the average temperature is 85 degrees Fahrenheit or higher during 25% of the year. During about how many weeks of the year is the average temperature below 85 degrees Fahrenheit?
Answer: 39 weeks
Step-by-step explanation:
Given
The average temperature is [tex]85^{\circ}F[/tex] or higher
A year has 52 weeks
It is given 25% of the time-temperature is above [tex]85^{\circ}F[/tex]
So, in the remaining 75% of the weeks, the average temperature is less than [tex]85^{\circ}F[/tex]
No of weeks can be determined by
[tex]\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}[/tex]
help plsssssss !!!!!!
Answer:
936
Step-by-step explanation:
Write 3.1415×106 in standard notation
Answer:
332.999
Step-by-step explanation:
juice wrld
(06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible
Answer:
Likely
Step-by-step explanation:
The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.
Expand.
Your answer should be a polynomial in standard form.
(7g+2)(5g+4)=
Answer:
35g^2 +38g +8
Step-by-step explanation:
Quadrilateral RUST has a vertex at R(2, 4).
T
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x + 4, y)?
A. (10,4)
B. (10, 12)
C. (10, 16)
D. (18,12)
Given:
The coordinate of point R in quadrilateral RUST are (2,4).
R is dilated by a scale factor of 3, centered at the origin, followed by the translation [tex](x, y)\to (x+4,y)[/tex].
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 3, centered at the origin, then
[tex](x,y)\to (3x,3y)[/tex]
We value R(2,4).
[tex]R(2,4)\to R_1(3(2),3(4))[/tex]
[tex]R(2,4)\to R_1(6,12)[/tex]
The rule of translation is:
[tex](x, y)\to (x+4,y)[/tex]
Using this rule, we get
[tex]R_1(6,12)\to R'(6+4,12)[/tex]
[tex]R_1(6,12)\to R'(10,12)[/tex]
Therefore, the coordinates of point R' are (10,12) and the correct option is B.
(TUTORS WHERE R U?? KIDS NEED HELP LIKE ME!! ILL GIVE BRAINLYY)
Answer:
11. 10x^2 - 13x - 3
12. 5x^2 + 18x + 5
Step-by-step explanation:
11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).
[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)
So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]
12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).
[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]
Hopefully, this helped you. Good luck & have a good day!
Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.
What is the volume of one water cooler cup, in cubic centimeters? (Use 3.14 for
π.)
Answer:
226.7 cm³
Step-by-step explanation:
The cone volume formula is V = (1/3)(base area)(height).
Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³
Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds
Answer:
C. 15 seconds
Step-by-step explanation:
It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.
A pioneer family travels for 30 hours at maximum speed in a covered wagon. Their neighbor walks 20 hours at a pace of 3 miles per hour. Which group traveled the greater distance?
PLS HELP IVE BEEN ASKING FOR 4 HOURS NOT A SINGLE PERSON HAS BEEN RIGHT ITS PAST DUE :( JUST TROLLS I WILL GIVE BRAINLIEST JUST PLS HELP
Answer:
square on the side - 7
first square on top 3
last square 10
Step-by-step explanation:
find the slope and y intercept form equation from the table
Answer:
y=x+5 or y=1x+5
Step-by-step explanation:
i hope this helps :)
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
What is a correct name for the angle shown? R S T O LE O ZS O LEITE O LEFT
Answer:
RTS.
Step-by-step explanation:
This is an obtuse angle.
the area is approximately ___ square ft.
use 3.14 for pi
Answer:
200.96
Step-by-step explanation:
divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96
A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas? 36 meters 3,600 meters 360 meters 36,000 meters
Answer:
36,000 meters. 12km= 12,000m multiply by 3l of gas.
Step-by-step explanation:
The car will travel 36000 meters using 3 liters of gas as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".
Given, a car uses 1 liter of gas every 12 kilometers.
Therefore, using 3 liters of gas, the car will go
= 3 × 36 kilometers
= 36 kilometers
= 36000 meters
With 3 liters of gas, the car will travel 36000 meters.
Learn more about a linear equation here: https://brainly.com/question/18840245
#SPJ2
1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem
Answer:
x + y = 35 equation 1
x + 2y = 62 equation 2
He made 8 1 point free throw
He made 27 2 point field goal
Step-by-step explanation:
let x = 1 point free throw
y = 2 point field goal
two equations can be derived from the question
x + y = 35 equation 1
x + 2y = 62 equation 2
Subtract equation 1 from 2
y = 27
Substitute for x in equation 1
x = 35 - 27 = 8
He made 8 1 point free throw
He made 27 2 point field goal
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
0.75
What is the equivalent fraction?
Answer:
=0.75
=3/4
=75%
Step-by-step explanation:
0.75 is 75% as a percentage,
And 3/4 as a fraction.
loolllllllll i neeeddd helpppp asapppppppp
-3×4y = (4+5y)-72 answer fast with steps plz
Answer:
-12y=5y-68 true for all X
Step-by-step explanation:
-3x4y=(4+5y)-72
simplify:
-3x4y=12y
simplify:
(4+5y)-72
remove parentheses:
4+5y-72
subtract the numbers:
4-72= -68
=5y-68
-12y=5y-68
Answer:
the answer would be 4
Step-by-step explanation:
−3(4y)=4+5y−72
−12y=4+5y+−72
−12y=(5y)+(4+−72)(Combine Like Terms)
−12y=5y+−68
−12y=5y−68
Step 2: Subtract 5y from both sides.
−12y−5y = 5y−68−5y
−17y= −68
Step 3: Divide both sides by -17.
−17y -68
------------ = -----------
-17 -17
y = 4
HELP I MARK BRAIN thing
Answer:
It would be A. x < 6
Step-by-step explanation:
The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it
Helpppp plssssss: ))))
Answer:
C
Step-by-step explanation:
Since its a filled in circle it also includes people that are 48 inches tall to ride.
Some parents will drive 17 children to summer camp. Each parent can fit 4 children in a car.
What is the fewest number of parents needed to drive all the children?
Answer:
5
Step-by-step explanation:
Coach Miguel bought 3 identical soccer balls for his soccer team. After applying a $25.00 store gift card, his total was $13.97. Which equation can be used to calculate by the price of each soccer ball?
A 3b - 25 = 13.97
B. 3b + 25 = 13.97
C. 1/3b - 25 – 13.97
D. 1/3b + 25 = 13.97
Answer:
F the person that Post the question
Step-by-step explanation:
He said he couldn’t give me the answer because we went to different schools like who does that
4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2
3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?
SOMEBODY HELP ME PLEASE
Answer:
90
Step-by-step explanation:
9*6=54
54*5= 270
270/3=90
