Answer:
m/4
Step-by-step explanation:
Consider the equation as shown:
(x-a)(y-b) = (x-2a)(y- b/2)
x(x + 1/2b) + y(y + a/2) -2xy = 5+(x-y)²
On comparing the coefficient, a student says these pairs of equations is consistent. Is he/she correct? Which of these explains why?
(a) Yes; because they are parallel lines.
(b) No; because they are interesting lines.
(c) Yes; because they are parallel lines.
(d) No; because they are interesting lines.
[tex]\large\underline{\sf{Solution-}}[/tex]
First equation is
[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]
can be further simplified to
[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]
[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]
[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]
[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]
[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]
[tex]\rm \longmapsto\:bx = 2ay[/tex]
[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]
Second equation is
[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]
[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]
[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]
[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]
So, we have two equations in simplest form as
[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]
and
[tex]\rm \longmapsto\:x + aby = 10b[/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]
[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]
[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]
This implies, System of equations is consistent having unique solution.
So, The student is correct as lines are intersecting.
So, option (b) is correct.
10
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?
Answer:
60 cubic centimetres
Identify the sampling designs that use voluntary response sampling. Check all that apply.
Mrs. O’Neill asks all her seventh-period students about their study habits.
Each customer of a fitness club is interviewed about their health as they exit.
An online poll about voter opinion of political issues is posted on social media.
A student organization interviews students in the drama club about the spring play.
A doctor’s office sends email surveys to all its patients.
A department store includes a link to an online survey on customers’ receipts.
Answer: C, E, F
Step-by-step explanation:Got it right
what is the product of 2 x 2 x 3 x 3 using an exponent?
Answer:
2^2 * 3^2
Step-by-step explanation:
2 * 2 * 3 * 3
We are multiplying 2 twos and we are multiplying 2 threes 3^2
The base is the number and the exponent is the number of the times
2^2 * 3^2
Please help solve and create the equation.
Answer: 1/3
Step-by-step explanation:
1/3
algebra ii question!
Point C is located at ( -6,5). Point D is located at (-2, y). The
* distance between points C and D is 5 units. Find a possible y
value for point D.
Select all possible answers.
Pick up to 0 answers.
А
1
B. 2
C. 5
D. 8
E 9
Answer:
Step-by-step explanation:
yes cdrj
ejkfkj
ennejw
Calculator
What are the coordinates of the midpoint of CD where C(2,
6) and D(4, 10)?
O (3, 2)
0 (2, 3)
0 (3, – 8)
0 (-1, 2)
1
2
OCT
20
tv
Answer:
O (3, 2)
Step-by-step explanation:
use the vectors method
(2+4)/2. (-6+10)/2
(3, 2)
1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?
Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
y = -3/7x + 5
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / 7 - (-7)
-6/14
= -3/7
y = -3/7x + b
2 = -3/7(7) + b
2 = -3 + b
5 = b
[tex]-3\frac{1}{3} * -3\frac{2}{5}[/tex]
Answer: 4
Step-by-step explanation:
First create numbers into an improper fraction.
-10/3 * (-3) 2/5
Then solve it using pemdas, resulting into the answer #4
Answer:
11 1/3
Step-by-step explanation:
What is the answer X=-2(6+4)
Answer:
X = -20
Step-by-step explanation:
X = -2(6+4)
^ add 6 and 4 together first because they are in parentheses
-2(10)
^ this parenthesis means you want to multiply -2 and 10
because 2 x 10 = 20
that must mean -2 x 10 = -20
therefore, the value of X is -20
X= -20
the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP
I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get
no link or bot right please
Answer:
4^-14
Step-by-step explanation:
4^-5 x 4^-4 x 4^-5 = 4^-14
1/4^14
Find the value of a
1)3a=9
2)5a=20
3)7a=28
Find the value of p
4)p/2=5
5)p/5=4
6)p/9=6
Answer:
Please do every single answer by transposition method..
Step-by-step explanation:
1) 3a=9
=a=9/3
=3
2) 5a=20
=a=20/5
=4
3) 7a=28
=a=28/7
= 4
4) p/2=5
=p=5×2
10
5) p/5=4
=p=4×5
=20
6) p/9=6
=p=6×9
=54
Magmatic and English
I don’t really get that sorry I would love to help but don’t know what that mean.
[tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex]
[tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex]
[tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]
which one of the following is a polynomial and which is not, and why?
Step-by-step explanation:
g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.
f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree
Select the two statements that are true about the equation y − 10 = 60(x − 40).
A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).
Answer:
The answer for this question is B and C
The answer is B and C
The equation above is in point slope form
y-y1=m(x-x1)
Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)
So thats why B and C is the answer!
brianlist me?
7x - 3= -3 + 7x find x
I think x equals either 0 or 1 cause if you solved for x you would just end up with 0=0 so I think it would be x=0
A cube shaped block of ice has a mass of 59 kg. The density of ice is 917 kg per cubic meter. The mass of an object is the product of its density and its volume. Write a cubic function to model the mass of a block of ice in terms of its edge length x (in meters).
Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Using the function, the edge length of the block of ice is of 0.4 m.
What is the formula for the density of an object?The density of an object is given by the mass of the object divided by it's volume, as follows:
d = m/v.
Hence the mass of the object is given by the following equation:
m = dv.
For this problem, we have that:
The density of ice is 917 kg per cubic meter, hence d = 917.The block of ice has a cubic format, meaning that v = x³, in which x is the edge length.Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Considering the mass of the block of ice, the length is found as follows:
59 = 917x³
x = cubic root(59/917) -> (59/917)^(1/3) in any calculator
x = 0.4 m.
Using the function, the edge length of the block of ice is of 0.4 m.
More can be learned about the density formula at https://brainly.com/question/11836799
#SPJ1
Mr. Braun has $75.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $9.00 each and the drinks cost $0.75 each. Five times as many drinks as pizzas are needed. What is the maximum
number of pizzas that Mr. Braun can buy?
The maximum number of pizzas that Mr. Braun can buy is 5.
The equation that can be used to represent the total amount spent on soda pop and pizzas is:
$75 = 5x($0.75) + x($9)
Where:
x = number of pizzas that can be bought5x = total number of drinks that can be boughtIn order to determine the number of pizzas that can be bought, we have to solve for x
$75 = 3.75x + 9x
$75 = $12.75x
x = $75 / 12.75
x = 5.88
If 6 pizzas are bought, 30 drinks would be bought, the total cost would be:
6($9) + 30(0.75) = $76.50
If 5 pizzas are bought, 25 drinks would be bought, the total cost would be:
5($9) + 25(0.75) = $63.75
A similar question was answered here: https://brainly.com/question/13965560
What are your realizations after watching the video about Nature By Numbers By Cristobal Vila
What is length of Ef?
Step-by-step explanation:
Using Pythagoras ;
[tex]20=\sqrt{10^{2}+x^{2} } \\20^{2}=10^{2}+ x^{2}\\400 = 100 +x^{2} \\300 = x^{2} \\x =\sqrt{300}[/tex]
Please give me a brainliest answer
Divide. 3/5 divided by 4 =. 12/5 5/20 3/20 6/30
Answer:
3/20
Step-by-step explanation:
3/5 ÷ 4
Copy dot flip
3/5 * 1/4
Multiply
3/20
права 1.5. Цукерки M&M мають різні
кольори, і різні кольори виступають в
і
різних пропорціях. Нижчезгадана tabeta
подає правдоподібність, що обраний М
долі&M має кожен колір, але бракує
цінності для брунатних цукерок.
Брунатний Червоний колір, Жовтий
Зелений Оранжевий ясно брунатний
Правдоподібність згаданих кольорів 0,3
0,2 0,2 0,1 0,1? (а) Яку цінність мусить
мати бракуюча правдоподібність (ясно
брунатний)? (b) Доля ти добираєш M&M з
пакету. Яка є правдоподібність кожного з
нижчезгаданих випадків? І. ти Одержуєш
брунатним або червоним. II. Ти не
одержиш жовтого. ІІІ. Ти не одержиш ані
оранжевого, ані брунатного. М. Ти
одержуєш такий, який брунатний,
червоний, зелений, оранжевий або
світло-коричневий.
Answer:
Якщо ти перекладаєш це, то ти неписьменний. якщо ти читаєш це, я пишаюся тобою. Його коричневий. Лол. Нані, УуУ, Оні-Чан.
Step-by-step explanation:
solve the inequality 2x + 3 < 7
A. x < 2
B. x > -2
C. x < -2
D. x > 2
Answer:
A. x < 2
Step-by-step explanation:
solution:
=2x<7-3
=2x<4
=x<2
NEED HELP ASAP WILL GIVE BRAINLIEST
Find the quotient: 11.28 divided by 4.7
Answer:
11.28 Divided by 4.7 equals 2.4.
Step-by-step explanation:
It's just simple division. Glad I could help though!
Answer:
2.4
Step-by-step explanation:
What is the factored form of x^2-9x+20
Answer:
(
−
5
)
(
−
4
)
Step-by-step explanation:
Not 100 percent sure
which quanity is proportional to 5/25
Answer:
1/5
Step-by-step explanation:
Solve the compound inequality −3 ≤ x + 4 < 8
Step-by-step explanation:
subtrack the 4 inbetween the inequalities to both sides.