20 points
Select the correct answer.
Solve the following equation by completing the square.
A.
B.
C.
D.
Answers
Answer:
x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer
Step-by-step explanation:
Solve for x over the real numbers:
4 x^2 - 16 x + 8 = 0
Hint: | Write the quadratic equation in standard form.
Divide both sides by 4:
x^2 - 4 x + 2 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 2 from both sides:
x^2 - 4 x = -2
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Hint: | Factor the left-hand side.
Write the left-hand side as a square:
(x - 2)^2 = 2
Hint: | Eliminate the exponent on the left-hand side.
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Hint: | Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Hint: | Look at the second equation: Solve for x.
Add 2 to both sides:
Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)
Answer:
B
Step-by-step explanation:
Related Questions
The answer has to be a fraction, number 10!!! Urgent!!!
Answers
Answer:
x = 0
Step-by-step explanation:
Calculate the product
Any expression multiplied by 0 equales 0
Solution
X = 0
Hope this helps!
ASAP for BRAINLIEST :fill in the blank if 19/24=3/x, then x is
Answers
Answer:
x= 72/19
Step-by-step explanation:
et's solve your equation step-by-step.
19
24
=
3
x
Step 1: Cross-multiply.
19
24
=
3
x
19*x=(3)*(24)
19x=72
Step 2: Divide both sides by 19.
NEED HELP WITH MATH!!! 10pts
Answers
Answer:
D
Step-by-step explanation:
Divide the two equations using polynomial division and you will get your answer.
Hope this helps
910÷(−65) i don't understand
Answers
Answer:
-14
Step-by-step explanation:
Of course, 910 divided by 65 is 14, but since 65 was negative, the answer must be negative. If both numbers were negative, then it would be positive, but in this case, it would be negative as 65 was negative.
HELP
and hurry please
(picture)
Answers
How did Athaliah impose wickedness upon Judah?
Answers
Answer:
By killing all but one of his family members
I need help with this
Answers
Answer:
No
Step-by-step explanation:
-10 is not greater than 9. A number that is more positive is more greater.
Answer:
No
Step-by-step explanation:
-10 < 9 according to the number line
What is the area of this figure?
Answers
Answer:
70 m^2
Step-by-step explanation:
I did this quickly, so please check the numbers.
Divide the figure into 3 recdtangles and one triangle. Calculate the area of each and take the sum.
I realize after looking at the image that one could have made only two rectangles and gotten the same result.
Which of these is a unit of density?
Answers
[tex]\longrightarrow \textsf{The unit of density is\;} [/tex][tex]\sf kg/m^3[/tex]
Solution :-[tex]\green{ \underline { \boxed{ \sf{Density = \frac{Mass}{Volume}}}}}[/tex]
[tex]\longrightarrow[/tex]The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³
Some basic derived Units :-
area => m²volume cubic meter => m3speed meter per second => m/sacceleration => m/s²mass density meter => kg/m3specific volume cubic meter per kilogram m³/kgThe distance between city A and city B is 760km. A car starts to travel from A to B at 80 km/h at 8 o'clock. The other car starts to travel from B to A at 120 km/h at 10 o'clock. At what time will the cars meet?
Answers
Speed of 2nd car = 120km/h
So, 120+80= 200km/hr
Distance between city A and B is 760km
T= D/S
760/200
= 3.8
The cars will meet after 3.8 hours.
Hope this helps
find 1+1+1in binary number system of computer
Answers
Answer:
1
+1
+1
soln
here
1+1+1
=10+1
=11
Answer:
[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]
1+1=10
10+1=11
11 is answer.
2i-3n=8
i+2n=-3
solve for i and n
Answers
Answer:
n= -2/7 i= 3 4/7
Step-by-step explanation:
i=3-2n
2(3-2n)-3n=8
6-4n-3n=8
6-7n=8
6-8=7n
-2=7n
-2/7=n
=3-2(-2/7)
3+4/7
i=3 4/7
(n − m)to the power of 2 for m = −3 and n = 7.
Answers
Answer:
100
Step-by-step explanation:
(n-m) = (7+3)
7+3 = 10
10 x 10 = 100
Determine the quadrant in which the terminal side of the given angle lies. 230°
Answers
Answer:
The quadrant for angle 230 is quadrant 3
Step-by-step explanation:
quadrant 3
I need help ASAP, with numbers 3-6 above. Please help.
Answers
Answer:
3. 2 6 30 6. 8:5
3 9 45
Step-by-step explanation:
helpppp plsssssssssss
Answers
Answer:
65 degrees
Step-by-step explanation:
corresponding angles
The flashlight you are using to find your phone is a green flashlight which isn't good for finding things in the dark. You decide to go grab your yellow flashlight instead. Which wave property differs in the two flashlights causing this difference in color? Explain.
Answers
Answer:
their wavelength
Explanation:
A wave refers to disturbances or vibrations that travel from one medium or vacuum to another in an organized way, while wavelength refers to the distance between two consecutive peaks of waves.
For example, the wavelength of green light is 550nm (nanometre), while that of yellow light is 580nm (nanometre).
This difference in the color of the flashlights is visible to the human eyes because the human eye is believed to be able to detect any wavelengths of light from 700 nanometres to about 400 nm for violet light.
Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the coefficient 'k' in the factored form?
6x3 + 4x2 − 6x − 4 = 2(x + k)(x − k)(3x + 2)
k=
Answers
1
2*(x+1)*(x-1)*(3x+2)
hope this helps
Jim made $143 for 11 hours of work at the same rate how many hours would he have to work to make $91
Answers
Answer:
Step-by-step explanation:
The equation is
Salary = 11 * x Where x is the number of hours.
salary = 143
hours = 11
x = ?
143 = 11x Divide both sides by 11
143/11 = 11x/11
13 = x
So to get 143 he works for 13 dollars / hour
salary = 13 * x
salary = 91
13 x = 91
13x/13 = 91/13
x = 7
He must work 7 hours to get 91 dollars.
Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar
✺ Explanation -:Given:
Jim made $143 for 11 hours of work.To Find:
Hours he have to work to make $91.Solution:
We can solve this question using two methods Unitary Method and Method of proportion.
Unitary Method -
For $143 he work 11 hours
For $1 he work [tex]\dfrac{11}{143}[/tex] hrs
For $91 he works [tex]\dfrac{\cancel{11}} {\cancel{143}\: \: \cancel{13}}[/tex] × [tex]\cancel{91}\: \: 7 [/tex]hrs
= 7 hours
He must work 7 hours to get $91.
[tex] \ {\rule{50mm}{3pt}}[/tex]
Method of proportion -
He work 'x' hours for $91. (x as no. of hrs)
[tex] \left[\begin{array}{c | c}\ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right][/tex]
143 : 91 :: 11 : x
Product of mean = Product of extreme
143 × x = 91 × 11
→ x = [tex]\dfrac{91 × 11}{143}[/tex] = 7hrs
He must work 7 hours to get $91.
[tex] \ {\rule{90mm}{3pt}}[/tex]
Which function has an inverse that is also a function?
G(x)=2x-3
Answers
Answer:
x/2+3/2
Step-by-step explanation:
Am i right please help asap
Answers
Answer:
yea i think
Step-by-step explanation:
area of a triangle = (hb)/2
19x14 = 266
266/2 = 133
1. The first three terms and the last term of a finite arithmetic sequence are - 92,- 88. -
84, ...,12.Find the number of terms in the sequence.
A. 20
B. 25
C. 27
D. 30
Answers
= 4
First term = -92
Formula -> Tn = First term + (n-1)d
12 = -92 + (n-1)(4)
104 = 4n-4
108= 4n
n= 27
Hope this helps, and please award brainliest if you could!
The number of terms in the given arithmetic sequence is 27 so option (C) will be correct.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given the AP;
- 92,- 88, -84, ...,12.
First term (a) = -92
Common difference(d) = -88 + 92 = 4
The nth term or last term = 12
Nth term is given as ;
⇒ a + (n - 1)d
12 = -92 + (n - 1)4
n - 1 = 26
n = 27
Hence "The number of terms in the given arithmetic sequence is 27".
For more about Arithmetic progression
https://brainly.com/question/20385181
#SPJ2
help.
Solve 4/y = 2/11.
The solution is y=__ ?
Answers
Answer:
See below.
Step-by-step explanation:
4/2=2
2*11=22
y=22
-hope it helps
Answer:
22
Step-by-step explanation:
4/22 is equivalent to 2/11 because 2/11 is 5 and a half times 2. So the second one has to be 5 and a half times 4. So the answer is 4/22.
What is the slope of the equation y=5/4x - 7/4
Answers
Answer:
The equation of a line is given by y = mx + c; where m is the slope.
The given equation is y = 5/4 x - 7/4.
Therefore, the slope is 5/4.
There are 36 carpenters in a crew. On a certain day, 29 were present. What percent were at work? (Round your answer to the nearest hundreth - 2 decimal places.)
Answers
Answer:
80.56%
Step-by-step explanation:
divide 36 by 29 and you get 0.8055555555. Change that into a percent to get 80.56%
There are 40 monkeys and 60% of the monkeys are in the trees. How many monkeys are in the trees?
Show your work: Write an equation, solve and explain your thinking
Answers
Answer:
24 monkeys are in the tree
Step-by-step explanation:
We solve it by writing [tex]\frac{60}{100}[/tex] times [tex]\frac{40}{1}[/tex]
Why is it over 100? Because every percent is out of 100!
[tex]\frac{60}{100}[/tex] X [tex]\frac{40}{1}[/tex] (your equation)
60 times 40 = 2400 and 100 times 1 = 100, We get, [tex]\frac{2400}{100}[/tex],
Lastly, we simplify the fraction by 100 on each side:
[tex]\frac{2400}{100}[/tex] / [tex]\frac{100}{100}[/tex]
you get 24
pls help) The vertices of a triangle are as follows: (2, 3), (4, -4), and (2, -2) If you dilate the triangle by a scale factor of 2, what are the vertices of the new triangle?
(4, 5), (6, -2), (4, 0)
(4, 6), (8, -8), (4, -4)
(4, 9), (16, 16), (4, 4)
(1, 1.5), (2, -2), (12, -12)
Answers
Answer:
(4, 6), (8, -8), (4, -4)
Step-by-step explanation:
Answer:
(4, 6), (8, -8), (4, -4)
Step-by-step explanation:
Hope this helps
How would the following triangle be classified
Answers
Answer:
C i think... sorry if im wrong
Step-by-step explanation:
The Pyramid of Khufu in Giza, Egypt was the world's tallest free-standing structure for more than 3,500 years. Its original height was about 144
meters. Its base is approximately a square with a side length of 231 meters.
The diagram shows a cross section created by dilating the base using the top of the pyramid as the center of dilation. The cross section is at a
height of 96 meters
144 m
=> A
96 m
231 m
231 m
Complete the following about the cross section
The scale factor used to create the cross section is 13
Part B
Complete the following about the cross section
The dimensions of the cross section is a Select Choice y meter by Select Choice y meter Select Choice
Answers
The scale factor used to create the cross section is 1/3. The cross section has a base side length of 77 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The height of the dilated pyramid = 144 m - 96 m = 48 m
Scale factor of dilation = 48 m / 144 m = 1/3
The side length of dilated pyramid = (1/3) * 231 m = 77 m
The scale factor used to create the cross section is 1/3. The cross section has a base side length of 77 meters.
Find out more on equation at: https://brainly.com/question/2972832
A man can make 12 birdhouses in 8 hours. How many hours will it take him to make 30 birdhouses?