Answer: 5
Step-by-step explanation:
Solve for x by completing the square: x2 - 12x + 11 = 0
A.
(-11,0) and (1,0)
B.
(1,0) and (11,0)
C.
(0,1) and (0,-11)
Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± [tex]\sqrt{25}[/tex] = ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
help me with geometry please
answer
x=180-87-33
= 60
a herd of 27 horses and 4 white and some black horses. what is the ratio of white to black
Answer:
4:23
Step-by-step explanation:
4 to 23 is the ratio because if some is representing the rest of the horses then there is 23 black and 4 white so 4 to 23 is the ratio of white to black horses.
Hope it helps have a great day :)
HELP ANOTHER QUESTION, I REALLY NEED HELP. !!!!!!!!!!!!!!!!!!!!!
Answer:
x = 30
Step-by-step explanation:
Answer:
Step-by-step explanation:
During his career, Michael Jordan scored an average of 31 points per
game. ESTIMATE the number of points you would expect Michael Jordan
to score in 5 games.
How much would it cost to buy x pounds of oranges? If oranges were 1.25$
Answer:
$20
Step-by-step explanation:
if one ound = 16 ounces then you would do 1.25x16 witch equals $20
If oranges were 1.25$ per pound. then the cost to buy x pounds of oranges would be 1.25x $.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If oranges were 1.25$ per pound. We need to find the cost to buy x pounds of oranges.
The cost of oranges per pound = 1.25$
The cost of oranges x pound = 1.25$ × x
= 1.25x $
Thus, The cost to buy x pounds of oranges would be 1.25x $.
Learn more about the unitary method;
https://brainly.com/question/23423168
help me please!! IM NEVER GONNA GET THIS DONEE
Answer:
105/120
48/120
50/120
Step-by-step explanation:
8, 5, 12
8 = 2³
5 = 5
12 = 2² × 3
LCD = 2³ × 3 × 5 = 8 × 3 × 5 = 120
120/8 = 15
7/8 = (7 × 15)/(8 × 15) = 105/120
120/5 = 24
2/5 = (2 × 24)/(5 × 24) = 48/120
120/12 = 10
5/12 = (5 × 10)/(12 × 10) = 50/120
Sally has 24 cookies. She has to share the cookies with 3 friends. How can they split them evenly?
Answer:
They each get 8 cookies
Step-by-step explanation:
24 divided by 3 is 8. There are other ways if the question allows there to. be some cookies left over.
what is y=-2(x+1)(x-2) in standard form
[tex] \leadsto \tt y=-2(x+1)(x-2)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt y=-2(x {}^{2} - 2x + x - 2)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt y=-2(x {}^{2} - x - 2)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt y=-2x {}^{2} + x + 2[/tex]
I need help please help!
Answer:
50.5 m^3
Step-by-step explanation:
Volume of pyramid = 1/3 × base area × height.
Height: 11Base Dimensions: 4.3 and 3.2Area of Base:
[tex]4.3 * 3.2[/tex] [tex]13.76[/tex]Next, we multiply 13.76 by 11.
13.76 × 11151.36Lastly, divide by 3 and round to nearest tenth.
151.36 ÷ 3 50.453333..≈ 50.5Therefore, the answer is 50.5 m^3
Use the figure for Exercises 17-23. Write true or false. If a statement is false,
rewrite it so it is true.
Answer:
17. False: ∠QUR is a right angle.
18. True
19. False: change supplementary into complementary.
20. True.
21. False: change 40 into 55.
22. False: change the second 150 into 30.
23. False: change 180 into 90.
It takes 3 hours of 10 pumps to pump 40000 liters of water into a farm dam.How long will it take nine similar pumps to pump 60000 liters of water into the dam
It will take 5 hours to pump 60000L of water using 9 pumps
Data;
10 pumps = 40000L in 3 hours9 pumps = 60000L in x hoursRate of the PumpRate = Time * number of pumps
[tex]\frac{a}{3*10} = \frac{60000}{40000}\\ \frac{a}{30} = \frac{6}{4} \\a = 45[/tex]
But since we've established the equation above, let's substitute the values and solve for the time required to pump 60000L into the dam using 9 pumps as compared to 10 pumps. We can easily do this by calculating the rate of the pump.
Rate = time * number of pumps
[tex]45=x*9\\x = \frac{45}{9} \\x = 5 hours[/tex]
It will take 5 hours to pump 60000L of water using 9 pumps
Learn more on rate of flow here;
https://brainly.com/question/21630019
The population of a city decreases by 4.3% per year. If this year's population is p, which expression represents next year's population?
In the diagram, the circle is inscribed in triangle PQR. Find arc EF, FG, and GE.
Check the picture below.
In essence, the two triangles made by the radii and the twin tangent lines are congruent by SSS or even for right-triangles congruence by LL.
Applying the tangents theorem, the arc measures are:
Arc EG = 140°
Arc EF = 120°
Arc FG = 100°
What is the Tangents Theorem?The tangents theorem states that a tangent to a circle forms a right angle (90 degrees) at the point of tangency, and also, if two tangents meet at point outside a circle, both tangents are equal.
Using the tangent theorem, we would find the central angles opposite arc EF, FG, and GE which are all the same measure as their central angles.
Let the center of the circle be point O.
m∠EOG = 2[180 - m∠PEG + m∠EOP)] (central angle opposite to arc EG)
Substitute
m∠EOG = 2[180 - 90 + 1/2(40)]
m∠EOG = 140°
Arc EG = m∠EOG = 140°
Arc EG = 140°
m∠EOF= 2[180 - m∠QFO + m∠FQO)] (central angle opposite to arc EF)
Substitute
m∠EOF = 2[180 - 90 + 1/2(60)]
m∠EOF = 120°
Arc EF = m∠EOF = 120°
Arc EF = 120°
m∠FOG = 2[180 - m∠RFO + m∠FRO)] (central angle opposite to arc FG)
Substitute
m∠FOG = 2[180 - 90 + 1/2(80)]
m∠FOG = 100°
Arc FG = m∠FOG = 140°
Arc FG = 100°
Therefore, applying the tangents theorem, the arc measures are:
Arc EG = 140°
Arc EF = 120°
Arc FG = 100°
Learn more about tangents theorem on:
https://brainly.com/question/9892082
Plz help wit this
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
I did this quickly, so please check the logic.
I find x = 15
Step-by-step explanation:
See attached image. Note that I've defined 3 triangles and their Pythagorean equations. I also define a third line, RQ, as z. Rearrange the equations and substitute in a way that allows elimination of all variables except x.
Darrell bought 4 books about animals, 4 books about outer space, and 1 book about trains. Each book cost $13. How much did Darrell spend on the books
Please help me with this math problem!! Will give brainliest if correct! NO links please!
Answer:
equation: sin 20 = 15/x
x=43.86
Step-by-step explanation:
sin = opposite over hypotenuse = 15/x from the corner with angle 20
How to find which trinomials are perfect square trinomials
Answer:
An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form
[tex]ax 2 + bx + c[/tex]
is said to be a perfect square, if and only if it satisfies the condition b 2 = 4ac.
Step-by-step explanation:
hope it will help you have a great day bye and Mark brainlist if the answer is correct
[tex]kai6417[/tex]
help Pleaseeeeee im begging
Answer:
The answer should be C
Answer:
[tex]f^{-1}(7)=2[/tex]
Step-by-step explanation:
[tex]f^{-1}(7)[/tex] means substitute x = 7 into the inverse function [tex]f^{-1}[/tex]
[tex]\implies f^{-1}(7)=\frac{7-1}{3} =2[/tex]
What is the equation of a line that passes through (-1,2) and (1,8)?
Answer:
y=3x+5
Step-by-step explanation:
first you find the slope by doing rise over run. then you would put the slope into point-slope formula which is y-y1=m(x-x1), then you simplify into y=mx+b (slope intercept form). which gets you your final answer.
2. Pepper went to the movies and spent $13.83. How
much did she spend, rounded to the nearest whole
dollar?
$
I need help 20 points!
Answer:
192 cm3
Step-by-step explanation:
The volume of any pyramid is 1/3 × b × h, where b = area of base of the pyramid and h = height of the pyramid.
In this case, the dimensions for the base are 6 and 8.The height is 24Area of Base:
[tex]\frac{6*8}{2}[/tex] [tex]48/2[/tex] [tex]24[/tex]Now, we multiply 24 by 24.
[tex]24*24[/tex] [tex]576[/tex]Lastly, we divide by 3.
[tex]576/3[/tex] [tex]192[/tex]Therefore, the answer is 192 cm^3.
Can someone please help me with the square root question?
Answer:
a ≈ 9.8 yd³
Step-by-step explanation:
Given: V ≈ 941 yd³
Using the formula: V = a³
Solving for a: A = [tex]V^{\frac{1}{3} }[/tex] = [tex]941^{\frac{1}{3} }[/tex] ≈ 9.79933
Round to the nearest tenth: a ≈ 9.8
(2,-2) and m=3 Find the slope intercept.
y= mx=b.y= 3x-8
Step-by-step explanation:
lmk if its wrong
Six students are running for the positions of president and vice-president, and five students are running for secretary and treasurer. If the two highest vote getters in each of the two contests are elected, how many winning combinations can there be?
Using the permutation formula, it is found that there can be 600 winning combinations.
There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem:
For president and vice-president, 2 students are chosen from a set of 6.For secretary and treasurer, 2 students are chosen from a set of 5.Hence:
[tex]T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600[/tex]
There can be 600 winning combinations.
More can be learned about the permutation formula at https://brainly.com/question/25925367
Mrs. Juarez graded ten English papers and recorded the scores.
92, 95, 100, 62, 88, 90, 100, 96, 89, 98
Which statements are true? Check all that apply.
The range of scores is 38.
Without the outlier, the range of scores would be 12.
The outlier impacts the range more than it impacts the interquartile range.
The interquartile range is 9.
The interquartile range is 4.
Without the outlier, the interquartile range would be 9.5.
Answer:
THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.
Step-by-step explanation:
Table of ordered data
number of value
data
1 62
2 88
3 89
4 90
5 92
6 95
7 96
8 98
9 100
10 100
Range of scores: 100 - 62 = 38
Oulier: 62 => Range without the outlier = 100 - 88 = 12
Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1
Quartlies of all the data:
1 62
2 88
3 89 --------------- first quartile, Q1 = 89
4 90
5 92
------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5
6 95
7 96
8 98 ---------------- third quartile, Q3 = 98
9 100
10 100
=> IQR = 98 - 89 = 9 : the interquartle range is 9
Quartlies without the outlier:
2 88
3 89
------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5
4 90
5 92
6 95 --------------- median, Q2 = 95
7 96
8 98
------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99
9 100
10 100
=> IQR = Q3 - Q1 = 99 - 89.5 = : the interquartle range without the outlier is 9.5
Therefore, the outlier impacts more the range than it impacts the IQR.
THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.
A line passes through the points (4,22) and (8,26) Write a linear function rule in terms of x and y for this line.
Answer:
y = x + 18
Slope = 1
Intercept = 18
Step-by-step explanation:
I feel like this graph would be better at describing it than words. Basically, for every time that it goes up once, it also goes over once, and it starts at the height of 18.
Finding the measure of the angle indicated
Answer:
30
Step-by-step explanation:
the sum of the three angles in a triangle is 180
so we have,
70+70+x=180
140+x=180
x=180-140=40
now, find the sum of 40 and 63
it is 103
subtract,
180-103=77
add,
77+73=150
180-150=30
30
can you mark me brainliest
Answer:
34
Step-by-step explanation:
73 + 73 = 146
180 - 146 = 34
Have a good day!
what is the unit rate for 247 heartbeats in 612 minutes
Answer:
247/612
Step-by-step explanation:
247 heart beats / 612 minutes
beats/ minutes
What would the surface area be ?
Answer:
320.44Step-by-step explanation:
the equation for right cylinder surface area: 2πrh+2πr^2
Answer:
33π cm²
Step-by-step explanation:
To find surface area you add the area of every face.
Area of the 2 circle faces:
The formula for the area of circle is πr². If the diameter is 6 you divide that by 2 to get a radius of 3. The area of the circle is 9π. Sense the top and bottom are both circles you multiply the area by 2 to get 18π.
Area of side face:
To find the area of the side, it is the same as a rectangle (length [circumference] multiplied by height [2.5]). The forumla for the circumference of a circle is πd. The circumference is 6π so multiply that by the height of 2.5 to get the area of the side of 15π.
Total surface area:
Now add the 18π (area of 2 circle faces) with the 15π (area of side face) to get 33π cm² surface area.