Answer: The answer is 1 7/12
What is The Greatest Common Factor of 21 and 63?
(1/5) ³
evaluate
pls help :)
0.008
1/5 x 1/5 x 1/5
theta=45 degrees to write 2x^2+2xy+5y^2+6x-4y=40 in the x'y'-plane. Then identify the conic.
Answer:
https://wb-qb-sg-oss.bytededu.com/mars_api/516070e015af3cbddbf0c9527d422fd6/1624892212752.jpeg!content
Step-by-step explanation:
If the section is created by slicing the equation 2x² + 2xy + 5y² + 6x - 4y = 40 at 45°. Then the conic will be an ellipse.
What is a conic section?A figure made up of a surface and a round cone intersecting. A conic section can be a circle, an ellipse, a parabola, or a hyperbola, based on the direction of the plane with regard to the cone.
The angle θ is 45° and the equation is 2x² + 2xy + 5y² + 6x - 4y = 40.
Then x will be
[tex]\rm x = x' \cos \theta - y' \sin \theta\\\\x = x' \cos 45- y' \sin 45\\\\x = \dfrac{x' - y'}{\sqrt2}[/tex]
Then y will be
[tex]\rm y = x' \sin \theta + y' \cos \theta\\\\y= x' \sin 45 + y' \cos 45\\\\y = \dfrac{x' + y'}{\sqrt2}[/tex]
Put these in the equation we have
[tex]\rm 2\left ( \dfrac{x' - y'}{\sqrt2} \right )^2 + 2\left ( \dfrac{x' - y'}{\sqrt2} \right )\left ( \dfrac{x' + y'}{\sqrt2} \right ) + 5 \left ( \dfrac{x' + y'}{\sqrt2} \right )^2+ 6\left ( \dfrac{x' - y'}{\sqrt2} \right ) - 4\left ( \dfrac{x' + y'}{\sqrt2} \right ) = 40[/tex]
On simplifying, we have
[tex]\rm 9x'^2 + 6x'y' + 5y'^2 + 10\sqrt2x' - 10 \sqrt2 y' - 80=0[/tex]
Then the value of a, b, and c will be
a = 2, b = 2, and c = 5
Then we have
[tex]\rm b^2 - 4ac = 2^2 - 4\times 2 \times 5 = 4 - 20 = -16[/tex]
Then b² - 4ac < 0, then the conic is ellipse.
More about the conic section link is given below.
https://brainly.com/question/10311514
#SPJ2
please help l am in big problem please☹️☹️☹️
Step-by-step explanation:
they are all just trignometric formulas
What Is a constant or the product of a constant and one or more variables
Answer:
A constant or the product of a constant and one or more variables is called a coefficient.
Hope it helps you.two cars start at the same point.one travel's north at 65 km/h and the other travel's east at 50km/h.How far are they apart after 30 minutes?
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Answer:
41 km
Step-by-step explanation:
The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:
d = √(32.5² +25²) = √1681.25 ≈ 41.00
The cars are about 41 km apart after 1/2 hour.
Find the midpoint, M, of AB.
A
M
B
0
[?]
26
Answer:
13
Step-by-step explanation:
The midpoint is 1/2 way between points A and B
(A+B)/2 = (0+26)/2 = 26/2 = 13
Find the solution set for
x-8= - 10
Answer:
x=-2
Step-by-step explanation:
x-8=-10by adding 8 in both sides, we get
x-8+8=-10+8Hence -8 and +8 cancel each other and we get,
x=-2I hope it helped U
I hope it helped Ustay safe stay happy
Add or Subtract: show all work 30 POINTS!!
A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they
pave in one hour?
A. 1 and 3/5 miles
B. 1 and 4/5 miles
C. 2 miles
D. 2 and 1/5 miles
Answer:
The easiest approach is to realise that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.
215 of a mile, in 20 minutes, how much in 60 minutes?#
They will pave 3 times more.
215×31=615 of a mile
615=25 of a mile
You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by 20) and them multiply by 60 to find how much in one hour.
Look at what happens:
215÷20×60
=215×120×603
=215×3 ← exactly the same maths.
=25
Riley and Francesca both commute to work. Riley's commute on the train takes 12 minutes more than one half as many minutes as Francesca's commute by car. It takes Riley 36 minutes to get to work. Write an equation to determine how many minutes it takes Francesca to get to work.
36 = one halfx − 12
36 = 2x − 12
36 = 2x + 12
36 = one halfx + 12
Answer:
36 = one half x + 12
Step-by-step explanation:
let : Francesca's times = x
according to the text, we can make the equation :
12 + (one half) x = 36
or 36 = one half x + 12
The equation for the given situation is 36=1/2 x+12. Therefore, option D is the correct answer.
Given that, Riley's commute on the train takes 12 minutes more than one-half as many minutes as Francesca's commute by car. It takes Riley 36 minutes to get to work.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the time taken by Francesca's commute by car be x.
Now, 12 minutes more than one-half=1/2 x+12
According to the question, 36=1/2 x+12
The equation for the given situation is 36=1/2 x+12. Therefore, option D is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/11837450.
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What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction?
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Answer:
y = -2
Step-by-step explanation:
The horizontal asymptote is given by the ratio of the two highest-degree terms of numerator and denominator:
y = -2x/x = -2
Answer:
a on edguty
Step-by-step explanation:
3. What is generation of a computer
the sum of three numbers is 66.the second number is twice the first number and the third number is 3x the first number
what is the first and second number?
Answer:
The first number: 11;
The second number: 22;
The third number: 33
Step-by-step explanation:
The first number: 11
The second number: 11 x 2 = 22
The third number: 11 x 3 = 33
11 + 22 + 33 = 66
Answer:
11 and 22
Step-by-step explanation:
let the first number ne x then second is 2x and third is 3x and sum is
x + 2x + 3x = 66 , that is
6x = 66 ( divide both sides by 6 )
x = 11
2x = 2 × 11 = 22
first number is 11 and second number is 22
i am supposed to use f(x) to solve these but there isn’t an x in them so i am confused, can someone help?
but there have given the formula of g(x) and f(x) ,put it
Multiply
(s - 5)(2s + 7)
(s - 5)(2s +7)=[ (Simplify your answer.)
(Answer quickly)
Answer:
Step-by-step explanation:
f: s*2s = 2s^2
o: s*7 = 7s
i: -5*2s = -10s
L: -5*7 = - 35
Combine
2s^2 - 3s - 35
On a number line, what is larger, .5 or .7
Answer:
.7
Step-by-step explanation:
On a number line the further you go to the right the higher the number. Thus .7 is larger than .5.
HOPE THIS HELPED
Answer:
.5
Step-by-step explanation:
the bigger the number the smaller the number
the answer is 5
One half of a number (x) is equal to 14
Answer:
x = 28
Step-by-step explanation:
Equation:-
1/2(x) = 14
Multiplying by 2 on both sides,
=> x = 28
Which equation is represented by the graph below?
pls asap
Answer:
opt. 2
Step-by-step explanation:
take (4,0) as solution
0= -1/2(4)+2
= -2+2 = 0
Alea needs 20.5 pints of blueberries to make jam. She picked 7.75 pints on Friday and 425 pists on Saturday. How many more pints does she need to pick? A. 85 pints B.X25 pints C. 11.5 pints D. 11.75 pints
Answer:
A 8.5 pints
Step-by-step explanation:
Help please due today
help me solve this question
Answer:
if you scored a 83 on every test in a class your standard deviation would be 0. The point is that the bigger the standard deviation the more "variation" you will find in the raw numbers.... "D" (international equities) is the answer to this question...
it has the highest percent for the standard deviation, this it is the
MOST IN-COSISTENT
Step-by-step explanation:
Simplify.
2 × (3 – 1) + 3
7
8
10
11
Answer:
7Step-by-step explanation:
2 × (3 – 1) + 3 (First Brackets)
= 2 × 2 + 3 (Second Multiplication )
= 4 + 3 (At last add)
= 7 (Ans)
You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?
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Answer:
20 years
Step-by-step explanation:
The interest earned is found using the formula ...
I = Prt
where principal P is invested at rate r for t years. Solving for t, we find ...
t = I/(Pr) = $900/($1500×0.03) = 900/45
t = 20
You must leave the money in the account for 20 years to earn $900 in interest.
Helppp
Find the measure of ∠3.
Answer:
90°
Step-by-step explanation:
diagonals of a kite intersect each other at 90°
:)
ANSWER :
third option 90 degrees
Step-by-step explanation:
the opossite adjasent angle is 1 that is 90 so angle 3 is opposite adjacent angle of angle 1
*The opposite adjacent angles will always be same
Find out the area and circumference of a circle of diameter 50cm
Step-by-step explanation:
d=2r.
50=2r
r=50/2
r=25cm.
circumference of circle =2πr
=2×22/7×25
=157cm(approx)
area of circle=πr²
=22/7×(25)²
=704cm
Advanced Order of
Operation
11) [{ 66+11 }2-6]x 7
66 121
Addition,subtraction, multiply I need help ASAP please due tomorrow show work
Answer:
113385908
Step-by-step explanation:
use:
Brackets
Indices
Division
Multiplication
Addition
Subtraction
[(66+11)2-6]×766 121
First Brackets
66+11=77
[(77)2-6]×766121
Multiplication:
77×2=154
[154-6]×766121
Subtraction:
154-6=148
Multiplication:
148×766121= 113385908
if x is an acute angle and tan x =3/4 evaluate cosx/sinx
Solve for x: x + 8 = 15
Answer:
7
Step-by-step explanation:
x + 8 = 15
Subtracting 8 from both sides,
x = 15 - 8
=> x = 7
Thirty minutes of exercise per day can reduce your blood pressure. Which of the following is a guideline for establishing causality?
a) Look for evidence that smaller amounts of exercise produces a reduction in blood pressure.
b) Check if lower blood pressure is present or absent when exercise is present or absent
c) Perform a randomized, controlled experiment.
d) Control the number of minutes of exercise and blood pressure to get the same results.
Answer:
perform a randomized, controlled experiment
Step-by-step explanation: