Answers
Answer:
perpendicular
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x = y - 5 ( add 5 to both sides )
3x + 5 = y ← in slope- intercept form
with slope m = 3
------------------------------------------------
9y + 4x = x - 9 ( subtract 4x from both sides )
9y = - 3x - 9 ( divide all terms by 9 )
y = - [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
-----------------------------------------------
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
Thus
the slopes are not equal, thus not parallel lines.
3 × - [tex]\frac{1}{3}[/tex] = - 1 , hence lines are perpendicular
Related Questions
There is a 12.5% tax on items purchased in Arlington. What is the percent of the original price you will pay? Write your answer as a percent, decimal and fraction in the space below.
Answers
I have to pay 12.5% more than the original price.
The decimal representation is 0.125.
The fractional representation is 112.5/100.
What is the percentage?The percentage is the value per hundredth.
Given there is a 12.5% of tax on items purchased in Arlington.
Assuming the original price of a product is 100 dollars.
∴ The price of the product with 12.5% of tax is,
= (100 + 12.5)/(100)×100.
= 112.5 dollars.
∴ I have to pay 112.5 dollars for every 100dollar product.
So, the percentage of the original price that I have to pay is (112.5/100).
= 12.5%.
The decimal value of 12.5% is (12.5/100) = 0.125.
The fractional representation is 112.5/100.
learn more about percentage here :
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HELLLP!! 10 POINTS OFFERED
Answers
Answer:
I hope this helps
Step-by-step explanation:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Answer:
hi, if im right i believe it would be option 2
Represent the following sentence as an algebraic expression, where “a number” is the letter x. 1 less than a number
Answers
Answer:
x-1
Step-by-step explanation:
if "a number" is x, then one less than that would be subtracting one.
= x-1
Hope this helps!
The polygons are similar solve for x
Answers
Answer:
x=12
Step-by-step explanation:
14/21=16/(x+12)
cross multiply
14(x+12)=16(21)
14x+168=336
14x=336-168
14x=168
x=12 (so the side would be x+12=24)
You could also see that 14 is 2/3 of 21, so 16 has to be 2/3 of x+12. That means x+12 would have to equal 24. If you take the 12 away from 24, x=12.
find the midpoint of (1,7) and (9,0)
Answers
(5 ; 3.5)
Step-by-step explanation:midpoint formula
(x₁ + x₂)/2 ; (y₁ + y₂)/2
(1 + 9)/2 ; (7 + 0)/2
(10/2 ; 7/2)
(5 ; 3.5)
2. Tom makes $50 a day, 5 days a week. If his rent every four weeks was $500, what is
his overall net profit?
Answers
Answer:
$500 net profit in 4 weeks
Step-by-step explanation:
+$50 a day, 5 days a week, -$500 every 4 weeks
1. solve for initial profit in 4 weeks
5 profitable day*4 weeks= 20 days Tom makes a profit
20 days*$50= $1000 in 20 days
2. subtract rent from initial profit
1000-500= $500
Please help with this question.
It’s an assignment that’s due at 11:30
Answers
Answer:205
Step-by-step explanation:
Solve |7x + 21| = 14x. Identify the solution and an extraneous solution.
Answers
Answer:
Step-by-step explanation:
solution: x=3;
extraneous solution: x=-1
The solution is 3 and the extraneous solution is -1.
What is the modulus function?The modulus function is the function which gives the magnitude or absolute of the number in the variable.
|x|=x if x>0
-x if x<0
0 if x=0
So according to question,
|7x+21|=14x
case-1: if 7x+21>0
⇒7x>-21
⇒x>-21/7
⇒x>-3
if 7x+21>0 , Using the modulus function property
|7x+21|=14x
⇒7x+21=14x
⇒14x-7x=21
⇒7x=21
⇒x=21/7
⇒x=3 which is also x>-3
x=3 is the solution
case-2: if 7x+21<0
⇒7x<-21
⇒x<-21/7
⇒x<-3
if 7x+21<0 , Using the modulus function property
|7x+21|=14x
⇒-(7x+21)=14x
⇒-7x-21=14x
⇒14x+7x=-21
⇒21x=-21
⇒x=-21/21
⇒x=-1 for which x<-3 is not true
x=-1 is an extraneous solution.
Therefore the solution is 3 and the extraneous solution is -1.
Learn more about the modulus function
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Solve s3=1 square root
Answers
Answer:
If you are solving for s, the answer would be ⅓
Step-by-step explanation:
reason for this is as following.
1. you want to find the square root 1, which is one. because you get 1 by multiplying 1 and 1
2. Next, you want to decide each side by 3 making it s = ⅓
solve for c: c - 12 = 3
Answers
Steps to solve:
c - 12 = 3
~Add 12 to both sides
c = 15
Best of Luck!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{c = 15}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{c - 12 = 3}[/tex]
Move 12 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{c = 3 + 12}}[/tex]
Add the numbers: 3 and 12
[tex] \dashrightarrow{ \sf{c = 15}}[/tex]
Hope I helped!
Best regards! :D
State the domain and range for the following relation.
{(-4,4), (1, 2), (0, 3), (3, 2)}
Answers
Answer:
Step-by-step explanation:
D= {-4,1,0,3}
R={4,2,3,2}
Whats 9+10?
A.21
B.14
C.19
D.(mL³)
Answers
Answer:
a. 21
Step-by-step explanation:
jk its c.19
Answer:c 19
Step-by-step explanation:
10. Plus 9 equals 19
y= 3/2 x -3 how do you do this on a graph
Answers
-2x + 10 = -2(x + 5)
Ox= 5
O = -5.
O infinitely many solutions
O no solution
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
they both are the same expression just in different forms.
1
If y=4x + 5,
What is y when Ox= 3, and ii) x= -3
Answers
When x= 3 then y= 17
When x = -3 then y = -7
Which is the correct simplified version of the expression shown below
after combining like terms?
12 + 3.4x -5.4x - X
A. -3x + 12
B. 9x
C. 9.8x + 12
D. -2x + 12
Answers
Answer:
D. -2x+12
Step-by-step explanation:
you combine all values with x because they are like terms.
:) hope this helps
Answer:
-2x+12
D is the best answer.
What is the value of the expression below when w
=
9 and x = 2?
W – 4x
Answers
Answer:
1
Step-by-step explanation:
we are given that: [tex]x = 2[/tex] and [tex]w = 9[/tex]
[tex]w - 4x \\9 - 4*2 \\9 - 8 \\1[/tex]
What is the answer to 4 - (-1)
Answers
Answer:
I think the answer is 5
Step-by-step explanation:
4 -(-1)
4+1
which will equal to 5
4 - (-1)
= 4 + 1
= 5
Answer: 5
The length of C. D. Akers rectangular garden is 37 feet shorter than six times the width. If the perimeter of
his garden is 164 feet, what are the dimensions of Mr. Akers' garden?
Answers
Answer:
17 feet by 65 feet
Step-by-step explanation:
If w represents the width of the garden, then 6w-37 is the length. The perimeter of a rectangle is twice the sum of length and width, so the perimeter is ...
164 = 2(w +(6w -37)) = 14w -74
238 = 14w
238/14 = w = 17
__
6w-37 = 6·17 -37 = 65
The width of the garden is 17 feet; the length is 65 feet.
Luke shade 20 squares on his hundredths grid. Bekka shaded 30 squares on her hundredths grid.
Answers
Answer:
50 hundredths
Step-by-step explanation:
20 + 30= 50
w(x) = 2xsquare3 + 3x; Find w(3)
Answers
HOPE THIS IS THE ANSWER
David purchased 1.5 pounds of apples that cost 3.60 per pound. If he gave the cashier a twenty dollar bill, how much change would he receive?
Answers
1 pound = 3.60
.5 pound = 1.80
1.5 pounds = 5.40
So then you subtract 5.40 from 20
20 - 5.40 = 14.60
What is the solution of 6x= 15
Answers
Answer:
2.5
Step-by-step explanation:
When a variable is next to a number (coefficient) it means you need to multiply. In this equation 6x are next to eachother.
Because we don't know what x is, we have to work backwards.
The opposite of multiplying is dividing, so here we can do...
15/6 and that equals 2.5
To check you replace x with 2.5 like so,
6(2.5)= 15 and it is true!
Hope this helps and have a great day!
Write 3/4 cup per 1/2 serving as a unit rate
Answers
Answer:
Unit rate = 1 1/2 cups per serving
Step-by-step explanation:
1/2 serving has 3/4 cup
1 serving
3/4 * 1/2 = 3/4 * 2/1 = 6/4 = 6/4 / 2 = 3/2 = 1 1/2
Evaluate 2a + 4b if a =10 and b=6
Answers
Answer:
44
Step-by-step explanation:
what is the soution to following equation: 1/2(x-10)=3/4(x+8)
Answers
Answer: x = -44
Step-by-step explanation:
1/2(x - 10) = [tex]\frac{3}{4}[/tex] (x+8) Apply the distributive property
1/2x - 5 = 3/4x + 6 Add 5 to both sides
+5 +5
1/2x = 3/4x + 11 Subtract 3/4x from both sides
-3/4x -3/4x
-1/4x = 11 Divide both sides by -1/4
x = -44
HELP I WILL MARK YOU BRAINLIEST A bag of flour contains 5 pounds of flour. A batch of cookies required 0.10 pounds of flour. How many batches can be made with the 5-pound bag?
Answers
Answer:
50 batches
Step-by-step explanation:
A bag of flour = 5 pounds of flour
A batch of cookies = 0.10 pounds of flour
How many batches can be made with the 5-pound bag?
Batch of cookies in 5 pounds of flour = Total pounds of flour / flour needed per batch of cookies
= 5 pounds / 0.10 pounds
= 50 batches of cookies
50 batches of cookies can be made with 5 pounds of flour
Answer : with one pound of pizza dough you can make one large pizza or two 10-inch pizzas.
so 15 Large pizzas or 30 10 in pizzas
Step-by-step explanation:
A students cost for last semester at her community was $2700. She spent $351 of that on books. What percent of last semesters college cost was spent on books?
Answers
Answer:
13%
Step-by-step explanation:
351/2700 = 0.13 0.13= 13%
ak-r=on, solve for k
Answers
Answer:
U need to copy and paste more of the question
Step-by-step explanation:
Start copy at the top go all the way to the bottem of the question and paste into brainly.
use ctrl c for copy and crtl v for paste
0.2(x + 3) - 4(2x - 3) = 3.4
Answers
Answer:
x= 1.¯17948¯¯
Explain:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
your answer is incorrect
Step-by-step explanation:
0.2 times (x+3) = 0.2x + .6
4(2x-3) = 4 x 2x + 4 x -3 = 4 x 2x + -7 = 6x + -7
0.2x + .6 - 6x + -7 = -5.8x + -7
because you cannot combine terms that are not alike, then your final answer would have to be -5.8x + -7 because you did not give us what x is equal to.
