Answer:
17
Step-by-step explanation:
You need to add 4 degrees to get to 0.
You need to add 13 degrees to get to 13
The total = 4 + 13 = 17
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
Please answer fast step by step. I will mark the best answer as brainliest.
Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
Evaluate the expression
(x + 3)(y - 2) , if x = -2, and y= 6
Answer:
The answer is 4
Step-by-step explanation:
Given,
[tex]x=-2,\,y=6[/tex]
Now, the expression
∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]
hope you have understood this...
pls mark my answer as the brainliest
I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
please mark me brainleast
x^2-y^2-z^2 factorise
Answer:
2(x-y-z)
Step-by-step explanation:
take common fromm all of those terms
An article is sold for Rs 500 at 25% gain. If an article is sold for Rs.250. What is loss percentage?
Answer:
The loss percentage is 37.5%
Step-by-step explanation:
Cost Price = 500 × 100/125 = 400
New selling price = Rs. 250 ⇒ Loss = 400 – 250 = 150
Loss percentage = 100 × 150/400 = 37.5%.
Which angle between –180° and 0 has the same cosine value as 275°
Answer:
cos (-85°)
Step-by-step explanation:
[tex] \cos(275 \degree) [/tex]
since cosine is in fourth quadrant:
[tex] \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) [/tex]
-85° is the angle between –180° and 0° that has the same cosine value as 275°.
What is cosine?Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.
Mathematically,
Cos = Base/Hypotenuse
Now, to calculate cos(275) we have to first determine the quadrant of the given angle.
Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.
In the Quadrant IV, the values of cos are always positive.
275 is an obtuse angle so we can write,
Cos(275) = Cos{360+(-85)}
∵ Cos(360+θ) = Cosθ
∴ Cos{360+(-85)} = Cos(-85)
⇒ Cos(275) = Cos(-85)
The required answer is cos(275) = cos(-85)
Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.
More about cosine function :
https://brainly.com/question/26818966
#SPJ2
The expression (4c − 3d)(3c + d) is equivalent to:
A. 12c2 − 13cd − 3d2
B. 12c2 − 13cd + 3d2
C. 12c2 − 05cd − 3d2
D. 12c2 − 05cd + 3d2
E. 12c2 − 03d2
(4c - 3d)(3c + d) =
= 12c² + 4cd - 9cd - 3d² =
= 12c² - 5cd - 3d²
The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²
(4c − 3d)(3c + d)
Open the bracket
12c² + 4cd - 9cd - 3d²
Collect like terms
12c² - 5cd - 3d²
Hence, the equivalent value of the expression is : 12c² - 5cd - 3d²
Learn more : https://brainly.com/question/18109354
Evaluate the following expression
H ;-)
x = -3 and y = -2
2x² - 5xy - y³ =
= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =
= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =
= -12 + 8 = -4
Answer:
[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]
how do you find a positive/negative interval?
Answer:
we need to see that weather it is in positive form or negative form
positive means add
negative means subtract
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
Please I need help ASAP, I don’t understand anything and it’s due tomorrow
Answer:
Alright, here we go.
11. Those are vertical angles. All vertical angles are equal.
6x + 7 = 8x - 17
2x = 24
x = 12
12. Those are linear angles (adjacent angles on a line). Linear angles = 180.
(11x - 15) + (5x - 13) = 180
16x - 28 = 180
16x = 208
x = 13
13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°. ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.
(5x - 42) + (2x - 1) = 90
7x - 43 = 90
7x = 133
x = 19
14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS. If PQR = 82°, angle PQS = 41°
10x + 1 = 41
10x = 40
x = 4
15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles. Angle (x + 10) and angle (10x - 61) are linear angles, so they equal 180.
(x + 10) + (10x - 61) = 180
11x - 51 = 180
11x = 231
x = 21
As for y, insert 21 as x for (10x - 61).
10(21) - 61
210 - 61
149
(18y + 5) should also equal 149° bc of vertical angles.
18y + 5 = 149
18y = 144
y = 8
x = 21
y = 8
(16 is crossed off so I'm going to assume you're not doing that one.)
17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of (4x + 6)°. Now, we were told that angle PNQ = 78°.
4x + 6 = 78
4x = 72
x = 18
This means that angle MNQ = 78 x 2, which is 156.
Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:
(3y - 9) + 156 = 180
3y - 9 = 24
3y = 33
y = 11
x = 18
y = 11
(This took a while.)
find the last digit of 45^45
Answer:
45^45=2025, so the last digit is 5.
Step-by-step explanation:
Multiply (FOIL)
( x - 3)( 2x + 5)
(3x + 7)(2x - 1)
[tex](x-3)(2x+5)=2x^2+5x-6x-15=\boxed{2x^2-x-15}\\\\(3x+7)(2x-1)=6x^2-3x+14x-7=\boxed{6x^2+11x-7}[/tex]
Find the area of the shape below
PLEASE HELP I NEED TO FINNISH THIS, I DO NOT HAVE MUCH TIME LEFT PLEASE HELPPPPPPPPPPP Thank you :)
Answer:
46.875
Step-by-step explanation:
A= l x w x h so you multiple all three numbers together and get your answer
What’s m=y2-y1 divided by x2-x1 for Y2
Answer:
slope formula
Step-by-step explanation:
Please help!
3x – 4 = = 35
Answer:
13
Step-by-step explanation:
3x13-4=35 Hope this helps
Step-by-step explanation:
Hope it helps.
Thank you
Paul, Than, and Mike have each consumed four beers in the last two hours. Paul weighs 220 pounds, Than weighs 155 pounds, and Mike weighs 197 pounds. Who has the highest blood alcohol concentration (BAC)
Answer:
Than would
Step-by-step explanation:
since he has the lowest weight then the alcohol concentration has less place to go making his higher.
the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)
Answer:
P = 6x + 14
Step-by-step explanation:
P = 2l + 2w
where P is perimeter, l is length, and w is width
l = x + 7
w = 2x
So P = 2(x+7) + 2(2x)
Distribute the 2 to the x and 7.
P = 2*x + 2*7 + 2*2x
Multiply each term out
P = 2x + 14 + 4x
Group the xs
P = 2x + 4x + 14
Combine like terms
P = 6x + 14
Which of the following is a point of tangency on the circle below?
Answer:
Answer D but read below.
Step-by-step explanation:
The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.
Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.
However I think you are expected to answer F which is answer D.
Answer:
The answer is D.
Step-by-step explanation:
I learned it in school.
If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32 as an example
Answer: 8:16
Step-by-step explanation:
Ratios are like fractions, you can DIVIDE, so...
16 divided by 2 is 8
32 divided by 2 is 16
So there you have it!
Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?
Answer:
yesjndndkkwkdkdndkiskdn
Answer:
3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50
please help me it’s my last question
One circle is 360°, that means, 180° is half of the circle.
Then, the required rotation may be performed according to this property. For more details see the attached picture.
What is the mean of the data set rounded to the nearest tenth?
0.7 1.1 0.8 1.6 1.6 2.2 1.1
Answer:
1.3Step-by-step explanation:
Mean is the average of data set:
μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3Mean
[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]
[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]
[tex]\\ \rm\leadsto 1.3[/tex]
if (y-b)÷(x-a)=m, then x is equal to
Step-by-step explanation:
[tex] \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} [/tex]
Please answer this ASAP NO PHOTOS PLEASE
Answer: 1cm cubed
Step-by-step explanation:
Cube Formula = L x W x H
= 1 x 1 x 1
= Volume of cube
= 1cm cubed
Use the story graph of each problem to fill in the blanks of the following sentence frames below.
In problem #1 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
In problem #2 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
I DONT KNOW WHAT THE ANSWER IS REALLY
The width of a rectangle
is 11 feet longer than the
length. The perimeter of the The rectangle is 70 feet. Find the length and the width.
Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
Answer:
Length = 23 feet and width = 12 feet.
Step-by-step explanation:
The width (W) = x and the length (L) is x+11 feet (length must be longer than width).
Perimeter = 2W + 2L = 70
2x + 2(x + 11) = 70
2x + 2x + 22 = 70
4x + 22 = 70
4x =- 70 - 22 = 48
x = 12 = width
So length = 12 + 11 = 23.
Picture shown!
If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]
Answer:
3x^2+6x-11
Step-by-step explanation:
g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11
-5c+5c+2c–6c–12c-16 16=c
Step-by-step explanation:
-5c+5c+2c–6c–16=c
-16c - 16=c
-16 = c + 16c
-16 = 17c
-16/17 = c
i need help asap can one of yall help me !
Answer:
(2,-1)
Step-by-step explanation: