Determine whether the lines given in each box are parallel, perpendicular, or neither
You can do it by page say page one or page two please need it by today
Answers
Answer/Step-by-sep explanation:
To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:
1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.
2. If both lines have the same slope value, m, then both lines are parallel.
3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.
4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.
1. y = 3x - 7 and y = 3x + 1.
Both have the same slope value of 3. Therefore, they are parallel.
2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜
3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]
The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.
Therefore, they are perdendicular.
4. 2x + 7y = 28 and 7x - 2y = 4.
Rewrite both equations in the slope-intercept form, y = mx + b.
2x + 7y = 28
7y = -2x + 28
y = -2x/7 + 28/7
y = -²/7 + 4
And
7x - 2y = 4
-2y = -7x + 4
y = -7x/-2 + 4/-2
y = ⁷/2x - 2
The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.
Therefore, they are perdendicular.
5.⬜ y = -5x + 1 and x - 5y = 30.
Rewrite the second line equation in the slope-intercept form.
x - 5y = 30
-5y = -x + 30
y = -2x/-5 + 30/-5
y = ⅖x - 6
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜
6.⬜ 3x + 2y = 8 and 2x + 3y = -12.
Rewrite both line equations in the slope-intercept form.
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 8/2
y = -³/2x + 4
And
2x + 3y = -12
3y = -2x -12
y = -2x/3 - 12/3
y = -⅔x - 4
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜
7. y = -4x - 1 and 8x + 2y = 14.
Rewrite the equation of the second line in the slope-intercept form.
8x + 2y = 14
2y = -8x + 14
y = -8x/2 + 14/2
y = -4x + 7
Both have the same slope value of -4. Therefore, they are parallel.
8.⬜ x + y = 7 and x - y = 9.
Rewrite the equation of both lines in the slope-intercept form.
x + y = 7
y = -x + 7
And
x - y = 9
-y = -x + 9
y = -x/-1 + 9/-1
y = x - 9
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜
9. y = ⅓x + 9 And x - 3y = 3
Rewrite the equation of the second line.
x - 3y = 3
-3y = -x + 3
y = -x/-3 + 3/-3
y = ⅓x - 1
Both have the same slope value of ⅓. Therefore, they are parallel.
10.⬜ 4x + 9y = 18 and y = 4x + 9
Rewrite the equation of the first line.
4x + 9y = 18
9y = -4x + 18
y = -4x/9 + 18/9
y = -⁴/9x + 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜
11.⬜ 5x - 10y = 20 and y = -2x + 6
Rewrite the equation of the first line.
5x - 10y = 20
-10y = -5x + 20
y = -5x/-10 + 20/-10
y = ²/5x - 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜
12. -9x + 12y = 24 and y = ¾x - 5
Rewrite the equation of the first line.
-9x + 12y = 24
12y = 9x + 24
y = 9x/12 + 24/12
y = ¾x + 2
Both have the same slope value of ¾. Therefore, they are parallel.
Related Questions
Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $2,200 worth of merchandise? Zarah would earn $ _________ for that week.
Answers
Find the measure of the exterior angle
Answers
Answer:
A exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.
The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?
Answers
Answer:
0.025 $/in.
The store bought 300 ft of rope.
1 ft = 12 in.
300 ft * 12 in./ft = 3600 in.
The store bought 3600 inches of rope.
The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.
($1.60)/(40 in.) = $0.04/in.
The store sells the rope at a price of $0.04 per inch.
The store sold all the rope at $0.04/in.
3600 in. * $0.04/in. = $144
The store sold all the rope for $144.
The profit was $54 for selling ll the rope.
$144 - $54 = $90
The bought the rope for $90.
The cost is dollars per inch is
($90)/(3600 in.) = 0.025 $/in.
Step-by-step explanation:
The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).
In this case, the slope is given as 0.08.
Interpreting the slope:
A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.
This indicates a linear relationship between the quantity of rope sold and the selling price.
In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
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14. Write a description of the rule (x,y) (x + 10, y + 8)
a translation 10 units to the right and 8 units up
b. translation 10 units left and 8 units down
c. translation 10 units to the right and 8 units down
d. translation 10 units to the left and 8 units up
Answers
Answer:
A
Step-by-step explanation: took the test
5/100+8/10=?......help
Answers
17/20 when simplified
Answer:
the answer is [tex]\frac{17}{20}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
Find the value of g(7) for the function below.
G(x)=7/8 - 1/2
A. 60/7
B. 48/8
C. 53/8
D.49/8
Answers
Answer: The correct answer is (A) - 60/7 :)
Step-by-step explanation: The answer is A because all of the other ones make absolutely no sense one bit at all...!
Answer:
C.60/7Step-by-step explanation:
6. Determine the value of x and y in the diagram below.
Show how you determined the value of x and y using Algebra
Answers
Answer:
y=43
X=34
Step-by-step explanation:
a) 2y+4=90
2y+4-4=90-4
2y=86. divide 86 by 2 to get y.
b) 3x-11=90
3x-11+11=90+11
3x=101. divide 101 by 3 to get X.
Plot the points (-6,8) and (0,8) on the coordinate plane below.
What is the distance between these two points?
units
Answers
The points (-6,8) and (0,8) are coordinate points, and the distance between the points (-6,8) and (0,8) is 6 units
The distance between the two pointsThe points are given as:
A = (-6,8)
B = (0,8)
The distance between the points is calculated using:
[tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]d= \sqrt{(-6 - 0)^2 + (8 -8)^2}[/tex]
Evaluate
d = 6
Hence, the distance between the points (-6,8) and (0,8) is 6 units
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Find all real square roots of -9
Answers
Answer:
3i
Step-by-step explanation:
i equals -1, the square root of 9 is 3
-1 times 3 times 3 is -9
I am unable to understand how to solve this question, please send the working out.
Answers
(
9
x
)
1
2
8
x
−
1
2
3
(9x)
2
1
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√
8x
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2 Convert
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9
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3 Use this rule:
a
b
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9
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2
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4 Since
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3×3=9, the square root of
9
9 is
3
3.
3
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5 Use Multiplication Distributive Property:
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3
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6 Calculate.
3
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√
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7 Use this rule:
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b
=
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8 Simplify
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6
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9 Move the negative sign to the left.
3
x
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10 Use Negative Power Rule:
x
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a
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=
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1
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3
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11 Use Quotient Rule:
x
a
x
b
=
x
a
−
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b
x
a
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.
\[3\times 2\sqrt[2}-\frac{1}{6]{x}\]
12 Simplify
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2
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6
2
1
−
6
1
to
1
3
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.
3
×
2
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3
3×2
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√
x
13 Simplify.
6
x
3
6
3
√
x
Answer:
[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]
Step-by-step explanation:
Laurie wants to put a portable cellular phone mini-tower on her roof. the tower cannot be placed higher than 30 feet. the slant of the roof can be represented by the equation r(x)=-1/4|x|+60. If her house is 40 feet wide where could she place the tower? Explain
Answers
Answer:
on the ground
Step-by-step explanation:
A line passes through (2, −1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x−7 C. y=13x+5 D. y=−13x
Answers
Answer:
B
Step-by-step explanation:
y=3x+a
3*2+a=-1
a=-7
(x – 10) + (3x – 6) =
please someone help?
Answers
Answer:
4x-4
Step-by-step explanation:
x-10+3x+6=4x-4
Hope helps :3
Answer: 4x-16
Step-by-step explanation:
insert parenthesis in the following problem to make it true.
7 – 2 x 2 – 1 = 9
help me!!!
Answers
Answer:
(7-2) x 2 -1 = 9
Step-by-step explanation:
(7-2) = 5 x 2 =10 -1 = 9
im really confused
Answers
Answer:
C. 10.5
Step-by-step explanation:
2=3
3=4.5
4=6.0
5=7.5
6=9
7=10.5
Answer:
the answer is 10.5
Step-by-step explanation:
if you keep going with the relationship every 1 place value up is another 1.5 added so if you go to 7 you get 10.5
dose anybody know how to do these kind of questions? with the step by step
Answers
-Remember Parenthesis are always first!!
-A Negative Times a Negative =A positive
- X can also be written as 1x
-Whatever you do to one side, you have to do to the other
1x+1>-35+10x
-1x -1x
1 > -35 +9x
+35. +35
36 > 9x
-We divide by 9, NOT 9x. The reason we only divide by 9 is because we are trying to cancel out and get X by itself
36/9 = 4
9>x
Hope that helped!!!
Find 12% of 200 plz help ty
Answers
Answer:
Step-by-step explanation:
to find this, you would do multiply the two since "of" means multiply
12% of 200
.12(200)
24 is your answer
explanation:
What is the slope of (2,6) and (7,21)
Answers
Answer:
m=3
Step-by-step explanation:
Answer:
15/5 or 3
Step-by-step explanation:
Slope is always the following formula:
y2 - y1 / x2 - x1
..............................................................................................
Now, replace the variables:
21 - 6 / 7 - 2
15 / 5
3
Tara can type 180 words in 4 minutes. At this rate, how many words would you expect her to type in 10 minutes?
Answers
Answer:
450 words in 10 minutes
Step-by-step explanation:
To set this up you need to put it like this:
[tex]\frac{180}{4}[/tex] = [tex]\frac{x}{10}[/tex]
From here, you need to cross multiply, which will get you to: 180(10) = 4x
Multiply 180 and 10: 1,800
The equation will now be: 1,800 = 4x
Now, divide both sides by 4: 450 = x
The required word that tara would type in 10 minutes is 450 words.
Given that,
Tara can type 180 words in 4 minutes. At this rate,
To determine how many words would you expect her to type in 10 minutes.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The rate of typing = 180 / 4 = 45 word per minute
Now a number of words typed in 10 minutes,
= 10 * 45
= 450 words per minute,
Thus, the required word that tara would type in 10 minutes is 450 words.
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Rani bought 3 shirts for $9 each. Which equation can be used to find the total cost of the shirts, c?
Answers
Answer:
3(9) =c
Step-by-step explanation:
Answer:
3(c)=total cost
Step-by-step explanation:
If 3 shirts = $9
then 1 shirt = $3
c shirts= $3(c)
can someone help me please
Answers
Answer:
greg
Step-by-step explanation:
heffly is a sociopath. he shall burn in the gates of hell
Evaluate the function requested. Write your answer as a fraction in lowest terms. find cos B
Answers
Answer:
what? please give more details
Step-by-step explanation:
Answer: A
Step-by-step explanation:
see pictures
Complete the solution of the equation. Find the value of Y when X equals 5. X-5y=45
Answers
Answer:
y = -8
Step-by-step explanation:
5 - 5y = 45
-5y = 40
y = -8
Answer:
-8
Step-by-step explanation:
replace X with 5
subtract 5 from both sides of the equation:
-5y = 40
divide by - 5
y = -8
49 increased by twice a number m
Answers
Increase means “go up” which is another way to say addition
Twice means “two times” or “doubled”
A number would be a variable since it’s unknown
Hopefully this helps...
Answer:
49+2m
Step-by-step explanation:
49 is increased by twice a number m
Hope this helps!
How do I solve for x in this special triangle?
Answers
Answer:
x = 5
Step-by-step explanation:
[tex]b = \sqrt{c^{2} - a^{2} }[/tex]
[tex]b = \sqrt{13^{2} - 12^{2} }[/tex]
[tex]b = \sqrt{169 - 144 }[/tex]
[tex]b = \sqrt{25}[/tex]
[tex]b = 5[/tex]
42°
X Х
x =
degrees
tar
PLEASE HELP ITS URGENT
Answers
Answer:
x = 48°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
x = 180° - (90 + 42)° = 180° - 132° = 48°
Alba worked for 6 hr and 45 min at $10.90 per hour. What numbers could she use to estimate how much money she earned? Estimate the amount she earned and state whether you think the exact amount is a little more or a little less than your estimate
Answers
Answer:
Step-by-step explanation:
If we're going by estimation, then you can do 11 and 7 hours, meaning that she would make 77 for the 7 hours but the exact answer would be a bit less than the estimation
10.9 times 6.75 is 73.58 roughly. so 3 dollars and 42 cents off
Answer:
1. She could use 7 hours and 11 dollars per hour.
2. $77 (7x11)
3 I'd say my estimate is a little more than the exact amount because I did 6.75 (6.75 because 45 minutes is 75% of a hour) x 10.90 and got 73.575.
−5x + 8 ≤ −2x + 23 was solved by dividing each side of the inequality by −3 in the last step. Is there another way to solve this inequality so that you can avoid dividing by a negative number? Explain.
Answers
Answer:
x≥−5
Step-by-step explanation:
What is another way to write 75?
5+5+5+5+5+5+5
7×7×7×7×7
5×5×5×5×5×5×5
7+7+7+7+7
Answers
Answer:
3 • 25
Step-by-step explanation:
3 25 times also makes 75
What is the slope,m, of the table?
What is the y-intercept,b, of the table?
What is the equation that represents the table?
Answers
Answer:
9
Step-by-step explanation:
