Answer:
Yes ans = 27720. Total possibilities = C(4,1) * C(6,4) * C(11,6) = 27720.
if α,β are the roots of the equation x^{2}-3x+2=0 form an equation whose roots are (α+β)² & (α-β)²
Solution:-
Let's find roots of x² - 3x + 2
=> x² - 3x + 2 = 0.
=> x² - x - 2x + 2 = 0.
=> x ( x - 1 ) -2 ( x - 1) = 0.
=> ( x - 1 ) ( x - 2 ) = 0.
=> x = 2, 1.
Now
( a + ß )² = (2+1)²=3²=9( a - ß )² = ( 2 - 1 )² = 1² = 1.So , equⁿ would be ,
=> x² - ( 9 + 1)x + 9×1=0.
=> x² - 10x + 9=0.
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4 of the way from A to B?
Answer:
Step-by-step explanation:
(4 + 12)/4 = 16/4 = 4
(-2 + 10)/2= 8/4 = 2
(4, 2) is 1/4 of the way from A to B
The coordinates of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The coordinates of points A and B are A(4, -2) and B(12, 10)
The coordinates of the point that is 1/4 of the way from A to B
The above statement means that the line segment AB is divided in the ratio of 1:4 internally.
Using the section formula:
Let C be the new coordinate point:
C(x) = [1(12) + 4(4)]/(1+4)
C(x) = 28/5
C(y) = [1(10) + 4(-2)]/(1+4)
C(y) = 2/5
Thus, the coordinate of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
Learn more about the ordered double here:
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2+2x + x^2 +XY
What would be the answer to this question simplified
Hey there!
ANSWER: [tex]x^2+xy+2x+2[/tex]EXPLANATION:[tex]2+2x+x^2+x*y[/tex]
To solve, you will need to simplify.
[tex]x^2+xy+2x+2[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Find 2 equivalent fractions to 4/6
Is -5 a integer or rational or irrational?
Answer:
irrational
Step-by-step explanation:
Answer:
It's rational because it isn't a decimal with no end. To simplify it even more, it is an integer.
Step-by-step explanation:
64 cm
64 cm
48°
*nor drawn to scale
What is the value of x?
o
A. 42°
B. 48°
Ο Ο Ο
C 64°
O D. 84
URGENT PLS I WILL GIVE MAX POINTS PLEASE
Answer: D
Step-by-step explanation:
My Teacher gave me the answer
Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2
Answer:
[tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex]
Step-by-step explanation:
Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2
Let two numbers are x and y. When they are divided the quotient is -1. So,
[tex]\dfrac{x}{y}=-1[/tex]
It can also be written as :
x = -y ....(1)
The subtraction of first minus the second is -3/2 .
[tex]x-y=\dfrac{-3}{2}\ .....(2)[/tex]
Use equation (1) in (2),
[tex]-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}[/tex]
From equation (1) : [tex]x=\dfrac{-3}{4}[/tex]
Hence, two numbers are [tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex].
Evaluate the function 7(x) = 2x+8 when x = 6.
O 96
O 28
O 20
O 16
Answer:
20
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 2(6) + 8 = 12 + 8 = 20
what is the answer 2(3x-4)+3(7-12x)
Answer:
-30x+13
Step-by-step explanation:
6x-8 + 21 - 36x
-30x+13
Miranda needs to cut strips of paper that are 1/8 of an inch. If she has piece of paper that is 7 and 3/4 inches long. How many strips of paper can she make? *
Answer:
62
if you turn 1/8 and 7 3/4 to decimals they turn into 1/8=0.125 and 7 3/4=7.75 and 7.75/0.125=62
Hi! I need help on this one. Hope there's someone willing to help!!
2 of 5 is a 40% chance
40% * 40 = 16
He should expect to be stopped 16 times.
You pick one card from a standard deck of 52 cards. What is the probability that the card will be a two?
Answer:
4 out of 52 or simplified 2 out of 26
Step-by-step explanation:
There are 4 suites of cards, spades, hearts, clubs, diamonds and there is one card for two in each suite, so we therefore know that the probability of picking a two out of a 52 card deck will be four out of 52 or the simplified answer would be 2 out of 26. Hope this helps, have a great day!
What is the midpoint of the segment with the following endpoints.
(9, 2) and (5,5)
The candle maker makes a total of 454545 orange candles. This is 30\%30%30, percent of all the candles she made this week. How many candles did the candle maker make this week?
Answer:
150 candles
Step-by-step explanation:
a house with an original value of $210,000 increased in value to $300,000 in 5 years what is the ratio of the increase in value to the original value of the house ?
Answer:
6%per year
Step-by-step explanation:
210000/300000=.7
it increased by 30%
30/5=6%per year
The ratio of the increase to the original will be 0.43.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Original value = $210,000
Final value = $300,000
Increment = 300000 - 210000 = 90000
The ratio of increment to original
⇒ 90000 / 210000 = 0.43
Hence "The ratio of the increase to the original will be 0.43".
For more information about ratio and proportion,
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Here are two five-pointed stars. A student said, “Both figures A and B are polygons. They are both composed of line segments and are two-dimensional. Neither have curves.” Do you agree with the statement? Explain your reasoning.
Answer:A
Step-by-step explanation:
Bcnitsreksbeux
plz help!!!! (click on the pic)
Answer:
x^2+8x
Step-by-step explanation:
instructions included above :)
Answer....
[tex] \boxed{ {x}^{2} + 8x}[/tex]
[tex] \boxed {\tt{Step-by-step \: explanation:-}}[/tex]
(6x²+10x-1)+(-5x²-2x+1)
=6x²+10x-1-5x²-2x+1
=6x²-5x²+10x-2x-1+1
=x²+8x
Rewrite the expression by factoring out −x4. +5x2−x42−x4
Answer:
783735e826w826
Step-by-step explanation:
1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1
Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?
Hey there!
ANSWER:Yes
EXPLANATION:Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?
If you want to know whether they are equivalent, let's first find the value of both of them.
[tex]4-4x[/tex]
[tex]-4x+4[/tex]
[tex]4(1-x)[/tex]
Let's add parenthesis to 4 and (1-x) and add negative to x.
[tex](4)(1+-x)[/tex]
Now separate all with parenthesis.
[tex](4)(1)+(4)(-x)=4-4x\\-4x+4(ANSWER)[/tex]
Since both had the same value, they are equivalent.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Hector is visiting a cousin who lives 400 miles away he has driven 75 miles how many more miles does he need to drive to reach his cousin’s home let d be how many miles left to reach his cousins house
Answer: Hector needs to drive 325 more miles.
Plane zwv and plane tuv intersect at
Answer:
Option (1)
Step-by-step explanation:
Planes ZWV (shaded side) and plane TUV (Top of the box) are the two sides of the given cube or box in the picture attached,
Common edge of the given planes is side SV.
Common edge or the line where two planes meet is the line of intersection of two planes.
Therefore, line SV will be the line of intersection of the given planes.
Option (1) will be he answer.
Solve it
it's easy
take as much time you need☺️
Step-by-step explanation:
101^2= [100+1]^2
[100]^2 +1^2+2×100×1
=10000+1+200
=10201
HOPE IT HELP.......
Which are the roots of the quadratic function f(b) = 62-75? Select two options,
b=53
b= -573
Ob=35
b = -315
b = 256
Answer:b=573
Step-by-step explanation:
Your answer should be a polynomial in standard form.
(q^2-2q+5)(q^2-5)=
Answer:
q⁴ - 2q³ + 10q - 25
Step-by-step explanation:
Step 1: Write out expression
(q² - 2q + 5)(q² - 5)
Step 2: Distribute
q⁴ - 2q³ + 5q² - 5q² + 10q - 25
Step 3: Combine like terms
q⁴ - 2q³ + 10q - 25
Mary is half of her sister's age. The sum of their
ages is 18. How old is her sister?
Answer:
Mary's sister is 12 years old.
Step-by-step explanation:
If Mary is half of her sister's age, her sister is 2 times her age.
Represent M as Mary's age...
M+2m=18
3m=18
3m/3=18/3
m=6
But because Mary is a half of her sister's age...
6*2=12
Answer:
12 years
Step-by-step explanation:
12/2 = 6
12 + 6 = 18
The value of the expression is
_____?
Answer:
the answer is 86!
hope this helped
Answer:
the answer to your question is 86
$500 deposit over 20 years with an interest rate of 5%
Answer: $1,104
Step-by-step explanation:At the end of 20 years, your savings will have grown to $1,604.
You will have earned in $1,104 in interest.
So I need help with this because I had did it but the teacher said to redo it but I forgot the answers,
Please help !
What is m
50
65
140
155
Answer:
65 degrees.
Step-by-step explanation:
Since angle JLG is 115 degrees, andgle JLH must be 65 because the two angles are supplementary, which means they add up to 180 degrees.
Tuition at Lukedale College costs $6,860 this year. Jasper earned a dance scholarship that will cover 25% of the cost. How much money will the dance scholarship cover?
Answer:
$1715
Step-by-step explanation:
You have to find out what 25% of $6,860 is, which is the same as dividing the total by 4, since 1/4 = 25%. So,
$6,860/4=$1715