[tex] \frac{ \sqrt{7} }{ \sqrt{12 - 2 \sqrt{35} } } + \frac{ \sqrt{5} }{ \sqrt{12 + 2 \sqrt{35 } } } [/tex]
can someone help? please
Answer:
6.91607978
Step-by-step explanation:
x
y
- 3
-11
- 2
- 8
- 1
- 5
0
- 2
1
1
2
4
3
7
Which equation below best represents the relationship between corresponding values in the table above?
y = 2x - 3
⊝
y = x + 4
⊝
y = x + 3
⊝
y = 3x - 2
⊝
Answer:
B
Step-by-step explanation:
44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]
To simplify this fraction, let's divide the numerator and the denominator by 4:
44/4 = 11
100/4 = 25
The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]
Whats the volume of 12yd 15yd and 12yds?
Answer: 2160 cubic yards
Step-by-step explanation:
12*12*15= 2160
After checking out some books from the school library, you step off to the side to wait for your friends to check out their books. Suddenly, the lights flicker, and a voice comes on over the intercom.
The library is closed indefinitely unless you and your friends can escape the library and open it back up for everyone to use. You must find the codes by solving the prompts. When you have all the codes, the library will be open for everyone again!
Answer:
That sounds like an awesome book idea; then you go on to explain the adventures in the library.
Step-by-step explanation:
Answer:
What are the codes....or are you just putting that out there?
Step-by-step explanation:
Hey can someone pls help me will give brainliest I will be very grateful thx!!!!
Answer:
17) 4 inches
18) 14 inches
19) 162 inches
20) 30 inches
Step-by-step explanation:
For the first two, you use the formula π× (radius)². Since you have the area, divide it by two then find the square root. For the second two, you just divide the by pi.
Answer:
17) D=4in
18)D=14yd
19)D=162yd
20)D=30yd
Step-by-step explanation:
17)
[tex]d = 2 \times \sqrt{4} = 4[/tex]
The sum of two numbers is 22 and the sum of their squares is 250. Find the numbers
Answer:
9 and 13
Step-by-step explanation:
Answer:
13 and 9
Step-by-step explanation:
sum of num: 13+9 = 22
sum of square: 13²+9² = 250
169+81 = 250
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met
Answer:
Train B catches up with train A at 2.25 h
The two trains meet at 108 Km from the start
Step-by-step explanation:
Relative Speed
There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.
i)
Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.
[tex]X_h=36*0.75=27~Km[/tex]
When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.
Thus, for train B to meet with train A, the head start must be traveled at the relative speed.
The time needed to do that is:
[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]
t = 2.25 h
Train B catches up with train A at 2.25 h
ii) In the time calculated above, train B has traveled a distance of:
[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]
The two trains meet at 108 Km from the start
O A. 12x + 20 = 180
O B. 12x = 180
O C. 12x - 20 = 180
D. 8x - 10 = 4x + 10
Answer:
Answer B. 12x = 180
Step-by-step explanation:
Angles in a Triangle
The sum of the interior angles in a triangle is 180°.
We are given all the angles of the triangle shown in the figure, all of them as a function of x.
Since the sum is 180°:
2x + 4x + 10 + 6x - 10 = 180
Collecting like terms:
12x = 180
This is the equation to find the value of x.
Answer B. 12x = 180
You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?
Answer:
2$
Step-by-step explanation:
first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.
don't forget to add the dollar sign, it might save you points
A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect
Answer:
A quadratic equation for the height of an object is written as:
h(t) = a*t^2 + b*t + c
We can derivate it with respect to the time to get the velocity:
v(t) = 2*a*t + b
We can derivate it with respect to the time to get the acceleration:
a(t) = 2*a
Then:
a = half of the acceleration. (the gravitational acceleration for problems like this)
b = initial vertical velocity.
c = initial height.
In our case we have:
h(t) = -16t^2 + 44t + 3.5
-16 is half of the acceleration, we know that the gravitational acceleration is:
g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.
44 is the initial vertical velocity of the ball (44ft/s)
3.5 is the initial height. (3.5ft)
Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity
3. <JKL and <RST are complementary. m<JKL = 36° and m<RST = (x + 15)°. Find the value of x and the measure of <RST. Find the value of "x"
= 36
= 51°
= 39
= 15"
Step-by-step explanation:
=51
PLS HELP ASAP, I HAVE A D IN THIS CLASS
I THINK its all real numbers like why else it there and i dont se nun that equal to 0
Step-by-step explanation:
PLEASE HELP ME THIS IS MOST OF MY GRADE. I PUT 100 POINTS. SERIOUS ANSWERS ONLY. I WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
hehe good luck loser T^T
Answer:
1. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages.
2. Fried Chicken, Macaroni soup, Mango pie, any of the beverages.
3. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages, because, there are going to be 40 guests and that are a lot of people to feed so I would rather spend more money than on some random people who come to my 2 year old son.
4. PhP 222.2 repeated
Step-by-step explanation:
Plz answer if uk theses answer
pls help!!
A chest was resting on the ocean floor 500
feet below the surface. It was lifted to the deck of a ship 16 feet above the surface. How far was the chest lifted?
I need you to :
Define the variable
Write the equation
& The solution.
Answer:
I don't know about the variable but I believe that the equation is -500+516=16 and the solution is 16
Step-by-step explanation:
Lily was shopping and saw the following prices on different packages of the same item as shown in the diagram below
Answer:
Package B has a unit rate of $1.50 per bag
Step-by-step explanation:
its the correct answer if its wrong deal with it
Think of a situation when someone would need to make a measurement with
extreme precision. Describe the setting, why the measurement must be so
precise, and some of the consequences that might occur if it were not precise.
Answer:
a
Step-by-step explanation:
aa
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
What is the slope and Y intercept?
Answer:
the y intercept is where is starts (up and down) slope is how much you run up, or down and how much you run
Step-by-step explanation:
For example the third croses at 5 thats the y-intercept. Know notice how you go up once and run two blocks for the slope. So the slope is 1/2x.
Answer for #3 y=1/2x+5
Note. Anytime you are running down the slope will be negative. If the line points up then its positive.
Answers should be in this form: 1) positive 2. negative 3. positive 4. negative 5. positive 6. negative
Answer:
1. slope = 4 over 2(2), y int = -8
2. slope = 2 over 3 , y int = 2
3. slope = 3 over 6(1/2), y int = 5
4. slope = 1 over 3, y int = -3
5. slope = 3 over 3(1) ,y int = 0
6. slope = 2 over 3 ,y int = -4
Step-by-step explanation:
The numbers in the () is the simplified slope version if there is no () it cannot be simplified
Is this correct ? Please help me
Answer:
Median: 8
Minimum: 3
Maximum: 15
First quartile: 6
Third quartile: 12.5
Interquartile Range: 6.5
Outliers: none
Step-by-step explanation:
After cutting a piece 1.65 m long from a piece of cable, the remaining
piece is 3.50 m long. How long was the cable originally? _____
Answer:
5.15 m
Step-by-step explanation:
To find how long the cable was originally, find the sum of the length of the piece that was cut off and the length of the remaining piece:
1.65 + 3.5 = 5.15
The cable was originally 5.15 m long.
Write a polynomial function that has the given zeros.
-3,3, 2/3
Answer:
Step-by-step explanation:
y = (x + 3)(x - 3) ( x - 2/3)
y = (x + 3)(x - 3) (3x - 2)
The key point you want to study is that (3x - 2) does give a solution at x = 2/3. That's why I made the graph.
do this to get brainiest!
(click on the image to see clearly)
Answer:
8) 4(n)+12
9) 21 + 4(m) + (2(m)+7)
10) 3 (S+21)
Step-by-step explanation:
I did this quickly, hopefully they are correct. May not be the same format as you wish (especially for 9)
What is the length of EF in the right triangle below? E 39 A D 15 F
A. 585
B. 576
C. 1296 D. 24
E. 36
F. 54
Answer:
E. 36
Step-by-step explanation:
You have to do a² + b² = c²
Plug in
15² + b² = 39²
225 + b² = 1521 (subtract 225 on both sides)
√b² = √1296 (square root on both sides)
b = 36
Hope this helps ya!
The length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle shown in the picture.
The length of DF = 15 units
The length of DE = 39 units
As we know, Pythagoras' theorem can be defined as the square of the hypotenuse in a right-angled triangle equal to the sum of the squares of the other two sides.
Applying Pythagoras theorem:
DE² = DF² + EF²
Plug the known values:
39² = 15² + EF²
1521 = 225 + EF²
EF² = 1296
EF = √1296
EF = 36 units
Thus, the length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
#SPJ5
find the value of x that would prove y/z State the converse used to support your answer.
Answer:
x=6
alternative exterior angles
Step-by-step explanation:
to prove y and z parallel then the two angles must be equal:
11x-3=4x+39
11x-4x=39+3
7x=42
x=42/7
x=6
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
Ay+ 7-3(x-4)
B Y + 1 = -3(x + 2)
Cy- 4 = 3(x + 7)
Dy - 2 - 3(x - 1)
Answer:
Option (A)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Slope of the line passing through two points (0, 5) and (4, -7),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5+7}{0-4}[/tex]
= -3
As slope of the line is negative, Options (A) and (B) will be the possible options.
Therefore, equation of the line passing through (4, -7) will be,
y - (-7) = -3(x - 4)
y + 7 = -3(x - 4)
Therefore, Option (A) will be the correct option.
Answer:
A
Step-by-step explanation:
ASAP Help!!! Will give brainiest to first correct answer!
Answer:
D:2^5/12 or 1.33483...
Step-by-step explanation:
Hope This Helps!
Answer:
I am sorry I don't Understand!
Sorry I couldn't help!
Step-by-step explanation:
there are 32 radios , 8 of them are out of order. what percent of radios are out of order ?
Answer:
25%
Step-by-step explanation:
8÷32
=0.25 x 100
=25%
Answer:
25%Step-by-step explanation:
[tex]\dfrac{8}{32}\cdot 100\%=\dfrac14\cdot 100\%=25\%[/tex]