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
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.
Determine whether each point could represent an x-intercept, y-intercept, both, or neither.
A. (0,5)
B. (0,0)
C.(-7,0)
D. (3,-4)
E. (19,0)
Answer:
A. y-intercept
B. Both
C. x-intercept
D.Neither
E. x-intercept.
Step-by-step explanation:
A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.
i need help pls asap
Answer:
Y=114 X=54
Step-by-step explanation:
Y and 114 are the same and the Top line is 180 degrees because it is straight so you can add 114 + 12= 126 which leaves 54 for X
May someone tell me what the value of x is ?
Answer:
maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Step-by-step explanation:
Which graph has a slope of 4/5
Answer:
The bottom one should be the answer
Step-by-step explanation:
A simple trick is to count how many units does the x travel from left to right, then count to the point. BTW they are separate numbers. The first one is x and the second one is y.
A and B are two cities.
zt
x В
a) Measure the bearing of B from A.
AX
b) Measure the bearing of A from B.
The bearing of B from A is 28 degrees, approximately
The bearing of A from B is 180+28=208 degrees, approximately.
Step-by-step explanation:
The bearing of B from A is 28 degrees, approximately
The bearing of A from B is 180+28=208 degrees, approximately.
The reason for approximation is from distortion of image.
See attached image to understand ohw the measurement has been obtained.
a company ships new basketballs in boxes that fix up to 14 basketballs. How many boxes are needed for an order of 202 basketballs?
Answer:
about 14 or 15 boxes
Step-by-step explanation:
Answer: at least 15 boxes to fit them all
Step-by-step explanation:
help meeee pleasee? :(
Answer:
32
Step-by-step explanation:
No worries! You can do this!
What we are going to do, is substitute 10 in for X.
8(x-6)
8(10-6)
8(4)
8 x 4
32
The answer is 32.
Have a great day,
PumpkinSpice1♥
Answer:
8(10-6) = 8(4) = 32
8(6-6) = 8(0) = 0
8(2-6) = 8(-4) =-32
of
be
A librarian has 43 books to distribute to a group of
children. If he gives each child 2 books, he will have
7 books left over. How many children are in the
group?
A) 15
B) 18
25
D) 29
Answer: 18
Step-by-step explanation:
dillon went out for dinner with four friends. All had the same meal and dessert, except dillon who did not order the 5 dollar dessert. The total bill came to 45 dollars. write an equation to determine how much each of his friends paid for their meal
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Dillon and 4 friends went for dinner ;
They all had the same meal except Dillion who did not order the $5 dessert
Total bill paid = $45
Amount paid by each person :
Let amount paid by each friend = x
Amount paid by dillion = x - 5
4x + x - 5 = 45
5x - 5 = 45
5x = 45 + 5
5x = 50
x = 10
Amount paid by each of the 4 friends = $10
Amoubt paid by Dillion = $10 - $5 = $5
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55.) The order in which the selections are made does not matter. How many different selections are possible?
Answer:
Number of different selection = 50C6
Number of different selection = 50 x 49 x 48 x 47 x 46 x 45
Number of different selection = 15 890 700
Step-by-step explanation:
The number of the different ways of selections are possible will be 28,989,675.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55).
The order in which the selections are made does not matter.
Then the number of the different ways of selections are possible will be
⇒ ⁵⁵C₆
⇒ (55!) / [(55 - 6!) × 6!]
⇒ (55 × 54 × 53 × 52 × 51 × 50 × 49!) / [49! × 6 × 5 × 4 × 3 × 2 × 1]
⇒ 11 × 3 × 53 × 13 × 51 × 25
⇒ 28,989,675
Thus, the number of the different ways of selections are possible will be 28,989,675.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
In a transformation, the final figure is called.
A. Reflection
B. Image
C. Pre-Image
D. Translation
Answer:
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
If the shirts $42 and it's on sale for $15 how much is a shirt now
Answer:
I think its 27
Step-by-step explanation:
If the vurrent cost is 15 then it took 27 dollars off the original amount
How many times does 2/3 go into 7 1/3
Answer:
11
Step-by-step explanation:
7 1/3 ÷ 2/3 = 11
(please give brainliest)
Answer: 1/11
Explanation:
KCF
(keep, change, flip)
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
Evaluate the following expression. 1 + tan^2(pi/6)
A. 2
B. 4
C. 11/3
An explanation of the answer will be awarded extra points
Answer:
B
Step-by-step explanation:
I Can't explain it,I'm sorry
Which equation can be used to find 40 percent of 25?
1. StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction
2. StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction
3. StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction
4. StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction
Answer:
Im not sure but dont pick d
Step-by-step explanation:
Whoever says d r wrong
Answer: its D
Step-by-step explanation: it d
What is the shape of the distribution shown below?
Answer:
Symmetric
Step-by-step explanation:
Left skewed is going up to the left
Right seemed the same but to the right
Uniform will be same level rectangular shape
It is positively skewed or we can say the data is right skewed so,
D. The distribution is right skewed.
What is skewness?Skewness is a metric for the asymmetry or distortion of symmetrical distribution in a set of data. When data points on a bell curve are not evenly distributed to the left and right sides of the median, this is known as skewness. The bell curve is referred described as being skewed if it is tilted to the left or right.
Skewness is a measure of the asymmetry of a distribution.
In the given data set, it is positively skewed or we can say the data is right skewed.
Generally, The normal distribution is symmetrical.
learn more about skewness here :
https://brainly.com/question/3907939
#SPJ2
help me please, I don’t understand
What are the x-and y-intercepts of -3x + 5y = 15?
A. 17, 10
B. -3, -5
C. -5,3
D. 15, 15
Help me pleasee
Answer: y= -5/3 x -1
Step-by-step explanation:
For each 90 mm of coloured fabric Paul uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?
Answer:First three terms: 11,20,29 .
Step-by-step explanation:
Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).
I hope this is right
Here is a set of signed numbers: 7, -3, 1/2, -0.8, 0.8, -1/10, -2
Order the numbers from least to greatest.
Answer:
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
The order of the set of sign numbers from least to greatest is,
- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.
What are signed numbers?A number that is followed by the plus sign (+) to denote a positive value or the minus sign (-) to denote a negative value.
A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.
Given, A set of signed numbers - 1/10, - 0.8, 0.8, - 2, 7, 1/2, and - 3.
let us convert them into decimals, - 0.1, - 0.8, 0.8, - 2, 7, 0.5, and - 3.
The order from least to greatest is,
- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.
learn more about the number system here :
https://brainly.com/question/29136622
#SPJ2
ANSWER PROPERLY PLZ HELP
ANSWER BOTH QUESTIONS
Translate the statement into an algebraic equation:
Five times the difference between a number and 6 is 65.
Answer:
i think it is 5x-6=65
Step-by-step explanation:
Can anybody tel me what K equals plz I got to go to bed
Answer:
K is equal to 4
Step-by-step explanation:
. hope it helped
What is Step 5 on solving systems by elimination?
Answer:
Check to make sure the solution works in BOTH equations
Step-by-step explanation:
David's mom is looking through the ads at Safeway and Lucky for her grocery shopping. At Safeway, apples cost $8 for 5 pounds, and at Lucky's apples cost $7 for 4 pounds.
Answer:
Step-by-step explanation:
8/5= 1.60
Safeway´s apples cost $1.60 per pound
7/4=1.75
Lucky´s apples cost $1.75 per pound
What is the slope of the line? I tried this myself but I don’t know if I’m correct. I will really appreciate it if I had help!
Answer: 3/4x
Step-by-step explanation:
I’m order to get the right answer it should be
y1 - y2 — 2- -4 = 6
x1 - x2 — 4 - -4 = 8
Now to get 6/8 to the simplest form, divide it by two which should give you 3/4
I need help to solve the equation
Answer:
D) X=-6
Step-by-step explanation: