Answers
80
Explanation
Add your other angles and then subtract it from 180 <3
Related Questions
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))
Answers
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 = 0do this to get brainiest!
(click on the image to see clearly)
Answers
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)
Marking brainless!!!
Answers
Answer:
A
Step-by-step explanation:
find the value of x that would prove y/z State the converse used to support your answer.
Answers
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
17x-6+3x-5=x+11+4x simplified
Answers
Answer:
x = 22/15
Step-by-step explanation:
hope that helped
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"
Answers
Step-by-step explanation:
=51
Plz answer if uk theses answer
Answers
[tex] \frac{ \sqrt{7} }{ \sqrt{12 - 2 \sqrt{35} } } + \frac{ \sqrt{5} }{ \sqrt{12 + 2 \sqrt{35 } } } [/tex]
can someone help? please
Answers
Answer:
6.91607978
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? _____
Answers
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.
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Answers
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.
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.
Answers
Answer:
a
Step-by-step explanation:
aa
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!
Answers
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:
PLEASE HELP ME THIS IS MOST OF MY GRADE. I PUT 100 POINTS. SERIOUS ANSWERS ONLY. I WILL GIVE BRAINLIEST
Answers
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:
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.
Answers
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:
A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase
Answers
Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
PLS HELP ASAP, I HAVE A D IN THIS CLASS
Answers
I THINK its all real numbers like why else it there and i dont se nun that equal to 0
Step-by-step explanation:
there are 32 radios , 8 of them are out of order. what percent of radios are out of order ?
Answers
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]
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
Answers
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
Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok
Answers
Answer:
4÷1/6=24
Step-by-step explanation:
O A. 12x + 20 = 180
O B. 12x = 180
O C. 12x - 20 = 180
D. 8x - 10 = 4x + 10
Answers
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
Whats the volume of 12yd 15yd and 12yds?
Answers
Answer: 2160 cubic yards
Step-by-step explanation:
12*12*15= 2160
ASAP Help!!! Will give brainiest to first correct answer!
Answers
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:
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)
Answers
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:
Train 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
Answers
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
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)
Answers
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]
You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?
Answers
Answer:
2$
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
Is this correct ? Please help me
Answers
Answer:
Median: 8
Minimum: 3
Maximum: 15
First quartile: 6
Third quartile: 12.5
Interquartile Range: 6.5
Outliers: none
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
⊝
Answers
Answer:
B
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
Answers
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
What is the slope and Y intercept?
Answers
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