Answer:
1936
Step-by-step
[tex][15 - (1 - 6 + 21 + \sqrt{9} )] ^{2}[/tex]
use BIDMAS
(1 - 6 + 21 + [tex]\sqrt{9}[/tex]) = (1 - 6 + 21 + 3) = (1 - 30) = -29
[15 - -29] = [15 + 29] because two minuses together make a plus
[tex]44^{2}[/tex] = 1936
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
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What is The Greatest Common Factor of 21 and 63?
pls solve and put in simplest form
Answer:
Step-by-step explanation:
1. 20
2. 100
3. 25
4. 45
5. 50
6. 54
7. 80
8. 192
9. 33
10. 128
Ken solved the linear equation 2(5y - 1) = 18 using the following steps.
Step 1: 2(5y - 1) = 18
Step 2: 10y - 1 = 18
Step 3: 10y = 19
Step 4: y = 1.9
Which statement is true about Ken's method?
A. Ken made a mistake between Steps 1 and 2.
B. Ken made a mistake between Steps 2 and 3.
C. Ken made a mistake between Steps 3 and 4
D. Ken solved the equation correctly.
Answer:
A
Step-by-step explanation:
in step 1, when expanding the bracket, ken needed to do 2×5y AS WELL as 2×-1 which they didn't do. the correct answer after the first step should be 10y-2=18
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:
Add or Subtract: show all work 30 POINTS!!
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
Which is the correct conjugate for √3+2?
A) 2-√3
B) -3-√2
C) 3+√2
D) 3-√2
[tex]\\ \rm\longmapsto \overline{z}=-(z)[/tex]
[tex]\\ \rm\longmapsto \overline{z}=-(x+iy)[/tex]
[tex]\\ \rm\longmapsto \overline{z}=-(\sqrt{3}+2)[/tex]
[tex]\\ \rm\longmapsto \overline{z}=-\sqrt{3}-2[/tex]
3 pizza are shared equally between 10 people. Wat fraction of a pizza does each person receive?
Answer:
3/10
Step-by-step explanation:
Take the number of pizzas and divide by the number of people
3 pizzas / 10 people
Each person got 3/10 of a pizza
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
[tex] \frac{pizza}{number \: \: of \: \: \: people} \\ \frac{3}{10} [/tex]
Each person received 3/10 of pizza
What is an equation of the line that passes through the points (8,-8) and (-5,-8)
Step-by-step explanation:
steps are in picture above.
Note:if you need to ask any question please let me know.
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
What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction?
9514 1404 393
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:
Calculate the are of each figure.
Answer:
186 [tex]in^{2}[/tex]
Step-by-step explanation:
6*3=18
18*2=36
7+3=10
15*10=150
150+36=186
Which is the simplified form of the expression
Answer: B
Step-by-step explanation:
Answer:
[tex]3( \frac{7}{5}x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ \\ \frac{21}{5} x + 12 - 3 + \frac{5}{2} x \\ \frac{21}{5} x + \frac{5}{2} x + 9 \\ \frac{67}{10}x + 9[/tex]
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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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:
I look like this: __ __ __ . __ __
• My hundreds digit equals the sum of my tenths and ones digits.
• My hundredths digit is one more than my hundreds digit.
• One of my digits is zero.
• My tenths and ones digits are odd and equal.
• My overall value is less than 500.
What number am I?
Answer:
201.13
Step-by-step explanation:
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.(6, -1) translate
8 units to the right 7 units down
Step-by-step explanation:
স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা
Answer:
(14,-8)
Step-by-step explanation:
Given (6,-1),
Translating (6,-1) 8 units right and 7 units down,
(6,-1)
=(6+8,-1-7)
=(14,-8)
Please mark brainliest.
d is the midpoint of AC.what is the lenght of AB
look above for picture or below
Answer:
you would add 3x+2 and 6x-4
9x -2 is the length
Step-by-step explanation:
Give THREE reasons why it is important to revise your study methods
please help l am in big problem please☹️☹️☹️
Step-by-step explanation:
they are all just trignometric formulas
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
20 points if these are correct pls
Step-by-step explanation:
14. 8
15. 60
16. 42
17. 45
18. 2
19. 8
20. 13
21. 18
o 14 . —> 8
o 15. —> 60
o 16 . —> 42 ( not 43 )
o 17. —> 45
o 18. —> 2
o 19. —> 8 (not 4 )
o 20. —> 13
o 21 —> 18 (not 12)
I hope I helped you^_^
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
2259 round to nearest hundred
Answer:
2300
Step-by-step explanation:
when rounding 2259 to the nearest hundred look at the digit in the tens place, if the number is 5 or higher, you round up to 2300, if its 4 or less, you round down to 2200. hope this helps!
what is payment undercast
Answer:
Undercast refers to a forecasting error when estimated numbers turn out to be lower than realized numbers. The estimates that are valued can include sales, expenses, income, cash flows, or any other financial account or metric.
Hope it helps you.Find the area of this triangle
!!30 POINTS PLEASE HELP!!!
What does the function f(x)=/x+1’- 1 have in its range that are not in the range of the graph g(x)?
[-1,1)
(-1,1)
(- infinity, 1]
(- infinity, 1)
Answer:
(-1,1)
Step-by-step explanation:
First split it into 2 functions, when x≥0 let f1(x)=x1+x and when x<0 let f2(x)=x1−x now we have 2 functions that are continuous on their domains.
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