Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answers
The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
Let be a line whose equation is:
[tex]a\cdot x + b\cdot y = c[/tex] (1)
Whose explicit form is:
[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
To learn more on lines, we kindly invite to check this verified question: https://brainly.com/question/2696693
Related Questions
solve each system of linear equations 3x+y=9, 7x+y=32
Answers
Answer:
x=23/4, y=-33/4
Step-by-step explanation:
3x+y=9
7x+y=32
3x+y=9
y=9-3x
7x+y=32
7x+(9-3x)=32
7x+9-3x=32
4x+9=32
4x=23
x=23/4
3x+y=9
3(23/4)+y=9
69/4+y=9
y=-33/4
The solution set to the given system of linear equations is -
{x} = 5.75 and {y} = - 8.25.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a system of linear equations as -
3x + y = 9
7x + y = 32
We can write -
3x + y = 9
y = 9 - 3x
Now, we can write the equation as -
7x + y = 32
7x + 9 - 3x = 32
4x + 9 = 32
4x = 23
x = 5.75 .... (1)
The, we can write {x} as -
y = 9 - 3 x 5.75
y = 9 - 17.25
y = - 8.25 ... (2)
Therefore, the solution set to the given system of linear equations is -
{x} = 5.75 and {y} = - 8.25.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
Mark’s birthday is 32 weeks away. How many days until his birthday?
Answers
So multiply 32 by 7
32*7 =224 days
The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years
Answers
The second tv option (cheaper by $1)
Step by step explanation:
To find how much the first tv will cost all together complete the equation:
$330 + $14 * 8 = $442
Second tv cost:
$369 + $9 * 8 = $441
Hope this helps
Pls give me the brainliest
Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Compound interest compounded semiannually is given every ___ months. *
1 point
1
3
6
The algebraic equation for interest is______. *
1 point
y=mx+b
e=mc2
i=prt
Principal $2000, rate 3.1%, 2 months, compounded monthly. Calculate the balance at the end of 2 months. *
1 point
$2010.35
$2025.62
$2003.10
What is your favorite Christmas cookie? *
1 point
chocolate chip
sugar cookie
peanut butter
other
Calculate the simple interest earned: principal $1000, rate 4%, 7 days *
1 point
$10.00
$0.77
$23.33
How is compound interest similar to a snowball rolling down a snow covered hill? *
1 point
The interest rate used to calculate earned interest is represented as a percent. True or False *
1 point
True
False
First name *
Given the same principal, rate and time which investment calculation would earn less? *
1 point
simple interest
compound interest
Last name *
Which word refers to the money deposited into an interesting bearing account ? *
1 point
cash
principal
bling
Answers
Answer:
3 months, 6 months, interest is 1 point or 0.01 for every percent, 2010.35, peanut butter but why is this a question, 0.77, It is similar to a snowball because as time goes on the account grows at the same percent but it is more money so it is a larger amount. This is very common in dividend investing. next question, yes it is a percent, simple because compound is always more or the same, I would say principal but I am not sure
Step-by-step explanation:
HELP ME OUT PLEASE!!!
What is the equation of this line?
Answers
Answer: THe Second answer is the correct one
Step-by-step explanation:
Answer:
y = 3x-2
Step-by-step explanation:
If 23 is added to a number, the result is 41 less than twice the number.
Answers
Answer:
x + 23 = 2x - 41
Step-by-step explanation:
I'm not too sure how to explain the correctness of the answer but I know that it's:
x + 23 = 2x - 41
The graph of an equation with a negative discriminant always has which characteristic?
Answers
Answer:
answer below
Step-by-step explanation:
equation with a negative discriminant: negative number under the square root
1. will produce imaginary number "i"
2. the function will get two complex solutions
7x+6-2x=12x-7+2
Solve for x
Answers
x= 11/7 or 1.5714
Answer:
x = 11/7
Step-by-step explanation:
[tex]7x+6-2x=12x-7+2\\\\5x+6=12x-5\\\\5x+6-5x=12x-5-5x\\\\6=7x-5\\\\6+5=7x-5+5\\\\11=7x\\\\\frac{11}{7}=\frac{7x}{7}\\\\\frac{11}{7}=x[/tex]
help. i need itttttt
Answers
Answer:
In a parallelogram, opposite sides are the same length. If PR = ST, then the same would happen for the other sides.
Step-by-step explanation:
PLEASE HELP! WILL MARK BARINLIEST IF ANSWER CORRECTLY (Screenshot)
Answers
Answer:
14
Step-by-step explanation:
3+3+4+4 = 14
PLS HELP ASAP ILL GIVE 5 STARS
Answers
Hey there!
(5 * 6) * 4
= 30 * 4
= 120
So you’re basically looking for something that’s equivalent to 120
CHOICE A.
5 * (5 * 6)
= 5 * 30
= 150
So, Choice A is probably NOT the answer you’re looking for!
CHOICE B.
4 * (5 * 6)
= 4 * 30
= 120
Choice B. is probably the answer you’re probably looking for.
So, I recommend you to color it apricot. :)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Guys please i need help on this, i will give brainliest to the right answers
Answers
Answer:
C) Discrete made up of individual points
Which graph represents the function?
Answers
Answer:
I believe it's the middle graph. since their is a closed dot on the first line and the other 2 inequality symbols indicate that their are 2 open dots, I think the middle is correct
Write an inequality to represent the graph.
у
(0, 2)
-3
- 2 - 1
7
8
9
10
0
-1
5 6
(4,-1)
-2
-3
-4
-5
-6
Answers
Answer:
The answer is i think(4,1)
Step-by-step explanation:
Convert 27 inches to feet in dimensional analysis .
Answers
Answer:
2.25 feet.
Step-by-step explanation:
Formula: divide the value in inches by 12 because 1 foot equals 12 inches.
So, 27 inches = 27 /12 = 2.25 feet.
Expand ; 3(1-x/2)^2
Answers
Answer:
[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]
[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]
what is the slope of the line of (4,6) and (-16,-18)
Answers
Hi!
To solve this, we simply use the equation shown in the image below:
What this means is the change in y over the change in x.
We use the two points and plug them in the equation like so:
[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]
Therefore your answer is [tex]\frac{6}{5}[/tex].
Hope this helps! Have a fantastic day! :D
Let me know if you need any other help.
Is the sum of 3/5 and v13 a rational or Irrational number
Answers
Answer:
The sum of 3/5 and Square root of 13 is irrational. Since square root of 13 is irrational. And when you add it gives u irrational.
The local movie theater, Scene It Cinema, had a special showing of the latest dinosaur movie. There were 6 youth tickets sold for every 5 adult tickets sold.
If there were 70 adult tickets sold, how many movie tickets were sold altogether?
Answers
Answer:
Let the youth and adult tickets be y and x respectively.
6y + 5x ---> (1)
From statement (1):
(1) × 14
84y + 70x
For every 70 adult tickets sold, 84 youth tickets were sold.
Total number of tickets sold= 70 + 84
= 154
12*100 please do it im in a hurry
Answers
Answer: 1200
Step-by-step explanation:
12*100 = 1200
Add the two 0’s in 100 to the end of 12 and get 1200
what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining
Answers
Answer:
24.010
Step-by-step explanation:
hope it helps
HELPPPPP PLSSSSSSSSSSSSSSS
Answers
Answer: $54.66
Step-by-step explanation:
The 18% turns into 0.18, they mean the same thing.
46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)
Add tip to the cost.
46.32 + 8.34 = 54.66
Correct me if it is incorrect.
Solve: 6 − x = −12
helpppppppppppp quickkk
Answers
Answer:
x = 18
Step-by-step explanation:
6 − x = −12
subtract 6 from both sides
- x = - 18
divide both sides by -1
x = 18
Answer:
x=18
Step-by-step explanation:
6 - x = -12
-6 -6
----------------
-x = -18
*divide by -1*
x = 18
hope this helps! :D
have a MIRACULOUS day!! <3
Lucas is walking on a circular path modeled by the equation (x + 8)^2+ (y - 3)^2= 64 and Noal is walking on another circular path modeled by the equation (x - 10)^2 + (y - 3)^2= 100, where their
distances are given in meters. What is the maximum distance between the walkers at any given time?
18 meters
21 meters
36 meters
40 meters
pls help guys
Answers
The maximum distance between the walkers at any given time is (a) 18 meters
Lucas' equation on the circular path is given as:
[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]
Noah' equation on the circular path is given as:
[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
Where:
Center = (a, b)Radius = rSo, we rewrite both equations as follows:
[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]
[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]
[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]
[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]
The radii of both equations are:
[tex]r_1 = 8[/tex]
[tex]r_2 = 10[/tex]
The maximum distance between the walkers at any given time is the sum of the radii
[tex]r = r_1 + r_2[/tex]
So, we have:
[tex]r = 8 + 10[/tex]
This gives
[tex]r = 18[/tex]
Hence, the maximum distance between the walkers at any given time is (a) 18 meters
Read more about circle equations at:
https://brainly.com/question/1559324
Answer:
36 meeters
Step-by-step explanation:
trust me bro
Help me with these worksheets pls
Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.
Answers
Answer:
1. yes
2.no
3.yes
4.no
5.yes
The next number in the arithmetic sequence 15, 22, 29, is:
A) 34
B) 35
C) 36
D) 37
Answers
EXPLANATION: +7 is the sequence
What is the largest integer whose cube is less than 10,000?
Answers
Answer:
8 512 =8 X 8 X 8
Step-by-step explanation:
please help me somebody will
Answers
Answer:
66/54
Step-by-step explanation:
Complete the point-slope equation of the line through -8,1 and -6,5
Answers
Answer:
y+1=3(x+8)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(-6-(-8))
m=(5+1)/(-6+8)
m=6/2
m=3
y-y1=m(x-x1)
y-(-1)=3(x-(-8))
y+1=3(x+8)
I can write an equation
Answers
Answer: y = -x + 2
Step-by-step explanation:
If you are familliar with the point-slope form this is very helpful
Point-slope:
[tex]y-y_1=m(x-x_1)[/tex]
Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:
[tex]y-(-1) = -1(x-3)[/tex]
Simplify
[tex]y+1=-x+3[/tex]
[tex]y=-x+2[/tex]
