write the slope intercept form of equation of line throug the given point a)parallel to b)perpendicular to given line
1) 4x-2y:3. (point 2,1)
2)x+y:7 point(-3,2)
Answers
This might not be right
one is y= 2x-3 and number two is y=-x-1
1) first you convert 4x-2y=3 into slope intercept form
y= 2x+ 3/2
then you change 3/2 to b
y=2x + b
then you plug in the point 2,1
(1)=2(2) + b
1=4+b
-3=b
after that you change the b in y=2x+b to -3
y=2x-3
2) after you convert it into slope intercept form (y=1x+b)
you have to change the x to a negative x because the line is perpendicular
y= -1x + b
then you plug in the point -3,2
2= -1(-3) + b
2= 3 + b
-1 = b
Related Questions
can someone help me please?
Answers
Answer:
1) x = 3, y = 2 or (3, 2)
2) x = 0, y = 2 or (0, 2)
6) x = 3, y = – 4 or (3, – 4)
Step-by-step explanation:
I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.
Question 1:[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]
Substitute the value of y in equation 2 into the first equation:
y = -2x + 5
-x + 2 = -2x + 5
Add 2x on both sides:
-x + 2x + 2 = -2x + 2x + 5
x + 2 = 5
Subtract 2 from both sides to isolate x:
x + 2 - 2 = 5 - 2
x = 3
Substitute the value of x into Equation 2 to solve for the value of y:
y = -x + 5
y = -(3) + 5
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).
Question 3:
[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]
Substitute the value of y from Equation 2 into Equation 1:
3x + 5y = 10
3x + 5(-5x + 2) = 10
Distribute 5 into the parenthesis:
3x + -25x + 10 = 10
Combine like terms:
-22x + 10 = 10
Subtract 10 from both sides:
-22x + 10 - 10 = 10 - 10
-22x = 0
Divide both sides by -22 to solve for x:
[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]
x = 0
Substiute the value of x into Equation 2 to solve for y:
y = -5x + 2
y = -5(0) + 2
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).
Question 6:[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]
Add 2x to both sides of Equation 2 to isolate y:
y – 2x = –10
y – 2x + 2x = 2x – 10
y = 2x – 10
Substitute the value of y from the previous step into Equation 1:
– 2x + 6y = – 30
– 2x + 6(2x – 10) = – 30
Distribute 6 into the parenthesis:
– 2x + 12x – 60 = – 30
Combine like terms:
10x – 60 = – 30
Add 60 to both sides:
10x – 60 + 60 = – 30 + 60
10x = 30
[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]
x = 3
Substitute the value of x into Equation 2 to solve for y:
y – 2x = –10
y – 2(3) = –10
y – 6 = –10
y – 6 + 6 = –10 + 6
y = – 4
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).
It costs $6 to enter the fair. Each ride costs $1.25. You have spent $23.50. How many rides did you ride?
Answers
Answer:
14 rides
Step-by-step explanation:
23.50-6= 17.5
17.5/1.25=14
23.50-6 = 17.50
17.50/ 1.25= 14
Please answer this question with step by step method.
Answers
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
(9(4x-1))/2x = 15
simplify the 9(4x-1) = 36x-9
(36x-9)/2x = 15
multiply both sides by 2x to take out the fraction
36x-9 = 15(2x)
36x-9 = 30x
subtract by 30x on both sides, and add 9 on both sides
36x-9-30x = 0
36x-30x = 9
6x = 9
x = 9/6 = 3/2 or 1.5
Which expression is equivalent to 9(h + 2)?
Answers
Answer:
9h + 18
Step-by-step explanation:
9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.
Find the difference in lowest terms. 15/19 - 7/19
Answers
Answer: 8/19
Step-by-step explanation:
15/19 - 7/19 = 8/19
8/19 cannot be simplified further
Help required. Struggling sm with flowcharts, shapes, etc., and I have a test on them tomorrow
Answers
The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.
The required proofs are stated below:
Statement Reason
1. <SPR ≅ <PRQ Alternate angle property
2. PT ≅ TR Definition of a mid-point
3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex] Perpendicular bisector property
4. ST ≅ TQ Mid-point of a segment
5. PQ ≅ SR Opposite side congruent property
6. ΔPQs ≅ ΔQRS Side-Angle-side (SAS) property
7. <PQR ≅ <SPQ Right angle property
8. PQ ≅ QR Congruent consecutive side property
Therefore given that PQ ≅ QR, then the given quadrilateral is a square.
Visit: https://brainly.com/question/16899603
-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT
Answers
Answer:
j = -1
Step-by-step explanation:
Eliminate parentheses:
-24 -3j = -16 +5j
Add 3j+16
-8 = 8j
Divide by the coefficient of j.
-1 = j
[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]
[tex]\rm⇢ \: \: 8j = - 8[/tex]
[tex]\rm⇢ \: \: j = - 1[/tex]
Mrs. Yamamoto is taking her class to the theater. The total cost for the students' tickets is $55.
Let y represent the number of students in Mrs. Yamamoto's class. Which expression
renresents the cost of each ticket in dollars?
Answers
Answer:
look it up i need my coins
Step-by-step explanation:
Find the inverse function. 1 f(x) = 1 = 2x+2 + f-1(x) = [? ]x + [
Answers
Answer:
y= 2x - 1
Step-by-step explanation:
i hope that helps
Topic: Determining if given values are solutions to a two variable equation
Answers
Answer:
2. a & c
3. a, b & c
Step-by-step explanation:
Substitute each solutions to the question to see if you get the answer
a. 5(2)-0=10 -- so (2,0) is the solution
b. 5(3)-0=15 -- (3,0) is not the solution
c. 5(0)-(-10)=10 -- (0,-10) is the solution
d. 5(1)-(1)=4 -- (1,1) is not the solution
a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution
b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution
c. -(2)+ 6(2) = 10 -- so (2,2) is the solution
d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution
-9/12-(-1/3) A 8/9. B. -8/9. C 5/12 D -5/12
Answers
Answer:
-5/12/ D
Step-by-step explanation:
-9/12 -(-1/3)
turn 1/3 into a fraction with a similar denominator
-9/12-(-4/12)
-(- = addition (+)
-9+4= -5
-5/12
HELP!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
y = -1/2x+4
Step-by-step explanation:
y = 2x-1
This equation is in slope intercept form y = mx+b where m is the slope
m=2
A line perpendicular will have a slope that is the negative reciprocal
m = -1/2
Using the slope intercept form
y = mx+b
y = -1/2x+b
and the point given (2,3)
3 = -1/2(2)+b
3 = -1+b
4 =b
y = -1/2x+4 is the equation of a line that is perpendicular to the original line and contains (2,3)
A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answers
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answers
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
53 1/3 in the form 53^n where n is a whole number
Answers
(In , (c) in a group of students of them are Science Society members and the rest are Mathematics Society members of the Science Society 5 members or 16 of them are girls. Find the total number of Mathematics Society members. Dalam satu kumpulan murid, daripada mereka 9 ialah ahli Persatuan Sains dan selebihnya ialah ahli 2. Persatuan Matematik. daripada ahli Persatuan . 5 Sains atau 16 orang daripadanya ialah perempuan. Cari jumlah bilangan ahli Persatuan Matematik [3 marks / 3 markah) Answer / Jawapan:
Answers
Answer:
50 studentsStep-by-step explanation:
Given:
4/9 of students are Science Society membersThe rest are Mathematics Society members2/5 of Science Society members are girls = 16 peopleFind the number of Science Society members:
2/5x = 16x = 16*5/2 = 40Find the total number of group members:
4/9x = 40x = 40*9/4 = 90Find the number of Mathematics Society members:
90 - 40 = 50NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answers
Answer:
#5 -1.75, 2.5, -0.2
#6 3 1/2, 2 1/4, -1/2
Step-by-step explanation:
Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)
Domain and Range of a linear function
Answers
Answer:
domain is the lenght of the road (in miles)
range is the number of days
Step-by-step explanation:
domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road
Which of the following is a radical equation?
x^/3 = 13
x+√3 = 13
^/x+3 = 13
X+3=^/13
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is ~
[tex] \sf \: x + \sqrt{3} = 13[/tex]I need help with geometry! 20 points
Answers
Answer:
tans=0.8770580193
Step-by-step explanation:
Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.
Answers
Our first equation is: 18P + 21A = 204. This is because she told 18 phones and 21 accessories yesterday which got her $204.
Our next equation is: 6P + 14A = 82. This is because she sold 6 phones and 14 accessories today which got her $82.
We can use elimination to solve this system. We can multiply the equation 6P + 14A = 82 by -3. This is so we can avoid sign errors if we multiply by 3. Our new equation is -18P - 42A = -246.
Next, we add that equation to 18P + 21A = 204. This gives us -21A = -42. Once we solve for A, by dividing by -21, we get A = 2.
Next, we can plug A into our equation. I will plug it into the second one. 6P + 14(2) = 82. This gives us 6P + 28 = 82. Once we get 6P alone, we get 6P = 54. Solving for P gives us 9.
One phone costs $9, and an accessory costs $2.
Evaluate -5.8-3.1x0.5
Answers
Answer:
7.35Step-by-step explanation:
Using DMAS, let's solve.
=> -5.8 - 3.1 x 0.5 (Multiplication)=> -5.8 - 1.55 (Subtraction)=> -7.35 (Solved)Conclusion:
Therefore, the answer is:
7.35Hoped this helped.
[tex]GeniusUser[/tex]
a homeowners association charges a 4.65 fee for each day your payment is late if a bill was originally 103.55 and paid 22 days late then how much is owed to the home owners?
Answers
Answer:
207.1
Step-by-step explanation:
4.65×22=102.3
103.55+102.3= 207.1
Is the answer 8? If so, what is the unit?
Answers
Step-by-step explanation:
that depends on the expected unit rate.
there are infinite correct answers to this as it is stated. including the initial numbers.
2 miles in 0.25 hours is by itself already a unit rate :
2 m/0.25h
but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.
when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.
what is the factor for 0.25 hours to create 1 hour ?
you know that 0.25 = 1/4.
0.25 × f = 1
f = 1/0.25 = 1 / 1/4 = 4
we need to multiply by 4 to get 1 hour as denominator.
therefore, by keeping the ratio value unchanged, the whole operation is then
2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h
the answer is therefore only 8, if we required mph or m/h as unit rate.
we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.
you see ? the question in that form is actually not complete.
______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
1 point
Supplemnatary
vertical
adjacent
linear pair
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is B. Vertical
Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .
Answer:
vertical
✌️❤️✌️
......
A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?
Answers
Answer:
4/15 of an inch
Step-by-step explanation:
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Hope this helps
Have a great day
~Zero
Answer:
4/15 of an inch
Step-by-step explanation:
A worm wriggled forward 4/5 of an inch in 3 minutes.
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Melissa bought a sofa on sale for $630. This price was 28% less than the original price.
What was the original price?
Answers
Answer:
630 is 28% of 2250.
Step-by-step explanation:
28 / 100 = .28
2250 X .28 = 630.
Lightning struck seven times in four minutes during a storm. On average, the next storm had lightning strikes two more times per minute than the first storm. How many times did lightning strike in six minutes of the second storm?
Answers
Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.
First Storm
7/4= 1.75 strikes per minute
Second Storm
1.75+2=3.75
3.75*6=22.5 strikes in the second storm
Answer
so uh
Step-by-step explanation:
thats how to solve
Help please!! Ill give 100 points!
Answers
Answer:
B)
Step-by-step explanation:
10/5 + 4(72 - 6)
10/5 + 288 - 24 Distribute the 4 to 72 and 6
2 + 288 - 24 Divide
2 + 264 Combine the like terms
262
Plzzz plzzzzzz help meeeee
Answers
A.
Hope it helpsssÙnÚ
