=============================================================
Explanation:
When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).
Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.
----------------------------
A more in-depth look (optional section)
Let's consider the system of equations shown below
[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]
For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.
Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem
y = mx+b
mx+c = mx+b ... replace y with mx+c
c = b .... subtract mx from both sides
But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.
Next, we'll consider this system of equations
[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]
The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now
y = mx+b
nx+c = mx+b
nx-mx = b-c
(n-m)x = b-c
x = (b-c)/(n-m)
Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.
In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.
A
4 yards
B
C
15 yards
Find the area of ABC.
[?] yd!
Enter
Answer: it shuld be 3 as zee answer
Step-by-step explanation:
Consider the function that assigns to each positive number x the value
Do you think this function is linear or nonlinear?
Develop a list of inputs and outputs for this function. Organize your work using the table below. Then, answer the questions that follow.
Input (x)
Output (y)
0.1
1/10 .
0.2
1/5
0.4
2/5
0.5
1/2
0.8
4/5
1
0
1.6
8/5
2
0
2.5
5/2
4
0
5
0
Plot the inputs and outputs as ordered pairs defining points on the coordinate plane.- You will do this on the peardeck or a piece of paper.
What shape does the graph of the points appear to take?
Find the rate of change using rows 1 and 2 from the table above.
Find the rate of change using rows 2 and 3 from the table above.
Find the rate of change using any two other rows from the table above.
Return to your initial claim about the function. Is it linear or nonlinear? Justify your answer with as many pieces of evidence as possible.
Answer:
The Answer should be: 40 49 60 8 54
\
95 82 40 18 39
94 72 23 70 39
24 55 6 48 40
16 100 67 93 83
2 59 97 66 28
51 81 81 6 1
29 59 34 15 65
100 94 100 70 64
87 33 20 79 76
47 56 83 58 1
36 14 71 87 26
13 4 67 26 76
85 44 55 99 64
89 50 13 10 29
62 76 82 51 71
69 13 76 3 46
71 5 51 81 15
53 94 47 55 61
6 23 97 99 46
3 87 45 49 72
87 14 32 29 22
84 60 17 4 95
100 51 39 77 87
31 97 11 80 94
78 61 38 79 35
87 67 11 21 70
82 43 19 74 42
58 90 24 8 3
61 3 63 84 1
15 67 79 31 83
28 27 93 46 39
76 7 57 82 97
35 38 73 6 88
24 95 20 90 73
17 49 4 63 63
100 3 23 52 80
17 61 39 68 63
67 27 16 81 84
81 37 43 82 34
97 54 8 32 78
99 77 20 71 17
21 42 52 48 8
46 75 71 55 74
11 48 80 39 30
76 50 52 89 100
19 10 57 21 79
58 53 99 99 11
24 59 72 16 52
91 84 36 21 22
72 44 52 56 29
96 78 57 91 47
72 42 35 79 99
44 51 76 93 16
16 36 63 82 63
42 36 82 86 30
63 42 78 75 50
65 2 50 21 32
10 23 26 96 96
61 13 16 37 58
3 30 99 93 1
54 43 8 94 13
62 54 76 14 40
12 22 68 57 24
83 16 36 2 66
49 68 65 88 2
19 36 17 89 59
51 68 100 39 75
67 27 50 87 100
12 87 65 2 1
47 61 50 36 29
64 37 68 3 99
20 83 98 91 77
53 35 37 78 89
87 79 73 20 49
19 36 23 58 29
76 4 18 44 61
65 25 84 11 3
99 97 74 92 97
9 47 73 47 8
35 96 15 65 16
93 5 48 53 28
59 23 7 47 50
20 73 26 86 92
21 10 99 91 32
32 35 63 47 25
3 87 75 9 5
4 75 15 79 43
62 33 6 23 70
81 37 96 93 33
49 72 20 47 61
30 51 67 77 16
51 11 66 68 36
49 45 29 10 98
92 39 36 89 57
74 70 77 13 94
78 1 80 33 85
34 82 27 1 97
59 99 72 82 20
73 67 35 69 68
61 83 15 77 72
31 90 77 9 71
96 96 30 75 87
40 97 78 26 16
41 5 4 57 82
50 94 11 1 94
2 72 71 6 77
89 12 22 68 82
2 35 88 11 43
54 46 9 30 95
7 90 63 13 70
10 15 49 97 73
12 7 86 24 69
91 99 40 51 18
2 79 91 19 97
99 9 66 86 92
70 34 77 31 95
89 25 68 70 57
65 36 4 24 95
36 48 92 44 62
69 84 41 52 92
84 20 66 23 73
16 85 44 17 2
9 90 58 28 90
53 41 42 15 37
18 87 53 21 57
55 25 24 5 57
93 24 17 37 63
8 92 68 68 20
100 69 45 73 11
100 79 27 99 36
44 38 10 100 27
35 32 10 28 70
53 67 81 26 97
9 42 22 1 91
61 70 80 16 38
87 91 49 1 12
57 1 22 12 24
71 88 72 42 23
67 41 20 89 14
24 1 40 41 78
86 77 23 57 96
65 90 27 1 5
59 61 39 34 28
47 83 80 84 44
29 79 94 52 86
32 39 49 100 74
31 87 65 59 47
41 53 99 79 50
83 32 70 69 27
73 69 56 20 99
26 96 14 49 66
42 94 78 88 43
38 93 62 70 97
6 84 59 86 17
20 3 100 52 71
96 71 52 65 30
39 60 100 100 10
82 52 88 39 98
82 28 91 71 33
15 32 7 100 51
40 15 51 42 70
59 54 26 47 74
98 26 42 18 96
40 76 89 79 94
61 70 21 95 18
37 25 99 91 30
86 22 87 18 53
76 57 41 71 52
10 54 35 36 36
53 14 95 5 45
49 98 16 40 8
81 67 54 82 76
83 83 94 37 76
86 23 57 42 79
63 35 88 75 100
26 70 35 35 14
64 24 98 76 46
86 65 59 76 49
70 96 65 57 30
80 1 54 19 93
28 44 11 63 24
61 27 76 6 62
44 22 24 69 58
21 92 44 100 68
82 78 74 4 100
3 52 94 18 91
32 9 95 94 40
67 57 62 46 36
91 24 22 70 17
71 74 66 2 48
86 41 52 66 54
33 99 23 40 81
65 32 16 54 48
18 79 67 4 42
9 47 13 27 59
57 80 24 51 32
86 1 95 17 83
47 38 3 27 26
21 50 99 14 66
40 74 98 16 92
9 15 21 33 87
35 91 50 7 26
22 56 27 77 92
14 81 54 40 63
84 15 48 72 75
70 50 37 48 66
34 12 17 98 51
47 2 33 39 86
10 87 57 6 95
25 74 70 44 57
91 10 34 21 99
21 81 61 87 88
19 38 73 50 11
97 63 83 28 74
7 91 44 32 56
53 98 100 51 70
86 79 18 22 45
46 28 59 76 23
21 57 67 24 16
30 22 12 65 23
51 12 62 39 97
60 49 31 68 21
84 24 66 5 24
64 63 57 12 1
58 79 1 5 62
52 15 69 26 40
17 43 32 73 79
79 25 41 98 46
50 14 91 5 93
23 65 55 85 80
71 62 14 79 53
30 5 88 30 18
2 45 41 45 99
89 13 35 96 12
58 1 71 25 38
73 53 89 63 69
67 93 72 1 17
12 96 12 86 75
1 17 77 92 5
40 78 15 82 5
75 5 34 39 71
80 4 80 13 55
69 44 61 57 45
52 5 49 27 74
76 95 68 93 45
30 75 52 1 51
43 11 43 65 69
3 3 12 4 83
96 58 45 31 89
71 28 49 89 41
31 13 45 86 89
85 61 5 72 60
20 14 19 36 6
29 64 41 40 74
66 16 7 42 15
20 42 72 66 63
97 90 33 47 84
97 81 5 33 58
72 23 25 84 1
17 60 34 51 43
3 29 96 90 37
39 28 43 17 52
99 23 85 93 27
9 10 90 19 30
2 77 6 88 17
45 85 59 60 64
32 11 70 52 2
100 33 22 12 62
42 93 37 5 55
54 70 49 81 4
40 29 45 13 84
83 63 30 46 23
34 19 44 35 8
90 71 19 100 9
28 87 52 6 11
26 14 23 3 13
57 89 82 12 56
69 63 22 3 8
40 38 2 5 4
64 66 52 8 4
62 71 41 39 58
42 76 98 65 33
92 16 48 29 44
8 96 98 74 57
22 12 15 46 10
50 34 75 2 8
40 22 100 21 16
22 60 38 94 81
32 42 65 45 93
23 93 85 64 6
36 12 94 4 79
97 9 96 26 35
12 19 56 4 67
15 47 72 78 74
30 78 100 83 69
24 50 39 87 93
47 11 4 32 15
35 26 9 14 60
11 56 88 84 47
3 28 47 40 67
3 2 94 16 68
28 76 21 86 97
23 85 8 68 49
63 67 82 66 36
20 21 56 91 6
61 24 92 47 89
32 5 83 37 46
70 56 69 41 14
68 52 84 19 9
19 96 54 46 5
23 26 49 79 31
98 48 7 88 56
78 72 82 62 47
3 35 60 95 28
17 34 63 32 81
57 58 88 23 72
25 85 46 36 35
46 26 73 91 63
What is 1 12/20 as a percentage
Step-by-step explanation:
step 1. 1-12/20 = 1.6
step 2. 1.6 = 160%.
please help me.............
1
HELP
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of
unit.
1
How many
unit cubes does it take to fill the prism?
3
Answer:
Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.
Step-by-step explanation:
Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.
what is each measure of the rhombus?
These are my cats, idek if it worked lol, also 40x2 bc why not you don’t have to answer
Answer:
It didn't work, 40 x 2 = 80
Step-by-step explanation:
have a good day
Answer:
Hey! I don't see any cats :(
Step-by-step explanation:
40x2= 80 !
Hope this helps!
Have a nice day! ♥(>'-'<)
(08.02 MC)
The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there are 2 dots for the fifth mark, there are 4 dots above the sixth mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.4. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)
3.2
3.0
1.5
0.8
Answer:
b
Step-by-step explanation:
A number w increased by 6 is at least 24. Using an inequality
Answer:
x<24
Step-by-step explanation:
[tex]w + 6 \geqslant 24[/tex]
Will give Brainliest!!!!
Solve the equation for the specified variable.
w=yh−5yt2, for y
y =
Answer:
[tex] y = \dfrac{w}{h - 5t^2} [/tex]
Step-by-step explanation:
w = yh − 5yt^2
There is a y in each term on the right side. We factor it out.
w = y(h - 5t^2)
Now we divide both sides by h - 5t^2 to isolate y.
[tex] \dfrac{w}{h - 5t^2} = y [/tex]
[tex] y = \dfrac{w}{h - 5t^2} [/tex]
Kiemanh is solving the equation 15r-6r= 36. What is the value of r?
O 2
O 4
O 15
O 27
Answer:
4
Step-by-step explanation:
15r-6r=36
9r=36
r=36/9
r=4
PLEASE HELP, I’ll give brainliest to anyone who answers first!!!!
Answer:
opotion 2!
Step-by-step explanation:
Activity 1: Put me in the Box!
Direction: Determine the hypothesis and the conclusion of the given statement
the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5
Step-by-step explanation:
To find - Determine the hypothesis and the conclusion of the given
statement the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5
Proof -
Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.
1.)
Given statement - Vertical angles are congruent
Conditional statement - If two angles are vertical , then they are congruent.
Hypothesis - Two angles are vertical
Conclusions - They are congruent.
2.)
Given statement - Bats are mammals that can fly
Conditional statement - If bats are mammals , then they can fly.
Hypothesis - Bats are mammals
Conclusions - They can fly.
3.)
Given statement - You are a good citizen when you obey rules and regulations.
Conditional statement - If you are a good citizen , then you obey rules and regulations.
Hypothesis - You are a good citizen
Conclusions - You obey rules and regulations.
4.)
Given statement - A number is divisible by 10 if its last digit is a 0.
Conditional statement - If a number is divisible by 10, then its last digit is a 0.
Hypothesis - A number is divisible by 10
Conclusions - Its last digit is 0.
5.)
Given statement - 3x + 6 = 21, because x = 5
Conditional statement - If 3x + 6 = 21, then x = 5
Hypothesis - 3x + 6 = 21
Conclusions - x = 5
Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days
Answer:
1,125.5
Step-by-step explanation:
You subtract the amount she climbed on the last day then divide the difference by four
Answer:
She climbed 4502 feet the first four days and if she climbed the same amount each of those four days she climbed 1125.5 each day!
what mistake was made and what you suggestion to give me to avoid the mistake again
marking brain list
next question is worth 100 points don’t use this anymore just need help on these
Answer:
The mistake made is the line of Best Fit is not drawn through any points on the graph. A way to avoid the mistake is to think "Okay, where are most of the points located?" Then find that area, and draw a line through the points that would connect to form a straight line.
Hope this helps!
At a holiday camp, the ratio of boys to girls is
3
:
4
and the ratio of girls to adults is
5
:
7
. What is the ratio of children to adults at the camp?
Input note: give the ratio in its simplest form.
Answer:
5:4
Step-by-step explanation:
Step-by-step explanation:
boys : girls : adults
3 : 4 :
5 : 7
15 : 20 : 28
children : adults
15 + 20 : 28
35 : 28
5 : 4
Ms. Kumar has a checking account at the bank. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Ms. Kumar's account is -$2.67. If she does not make any deposits or withdrawals, what will be the balance in her account after 2 days?
Answer:
-14.57
Step-by-step explanation:
5.95×2=11.90 (for the fee in 2 days) 11.90+2.67=14.57 and sense she owes money it would be -14.57
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points and time I will report your if you do that :) have a nice day and stay safe. PEOPLE WORK HARD FOR THERE POINTS IF YOU DON'T KNOW
Answer:
Step-by-step explanation:
Frequency table for the height of the seedlings,
Height (in inches) Number of seedlings
[tex]\frac{1}{2}[/tex] 2
[tex]\frac{3}{4}[/tex] 4
[tex]\frac{5}{8}[/tex] 2
[tex]\frac{7}{8}[/tex] 2
Now we can draw the line plot as attached.
Average height of the seedlings = [tex]\frac{2(\frac{1}{2})+4(\frac{3}{4})+2(\frac{5}{8})+2(\frac{7}{8})}{2+4+2+2}[/tex]
= [tex]\frac{1+3+1.25+1.75}{10}[/tex]
= [tex]\frac{7}{10}[/tex]
I need some help with this please
Your restaurant bill is $28.35. Find the amount of TAX you would pay for your dinner if the tax is 6%. (Round to the nearest cent.)
Answer:
The tax is $1.70
Step-by-step explanation:
Divide 28.35 by 100 then multiply by six. This is how you reach 6%
Which pair shows equivalent expressions?
Answer:
d
Step-by-step explanation:
HELP PLEASE!! THIS IS DUE IN A BIT
Answer:
my bestie john is correct!!
everything was correct
What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well, thank you.
Answer:
Step-by-step explanation:
A = C^2 / 4 x pi
so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).
you would then just divide 100 by 12.57 = 7.96 ( rounded)
hope it helped
2) The area of a rectangular pool is 1260 ft. Find the dimensions of the rectangle, if one
side of the pool is 48 ft more than three times the other side?
The sum of 7 and n. giving brainly .
Answer:
The sum of 7 and n would be 7n
Step-by-step explanation:
I don't know why my question was deleted but with this information it would be 7n
Mr. Fernandez uses 7 boards that are 4 feet long and 6 inches wide to make on bookshelf. If he buys lumber in lengths of 8 feet with a width of 12 inches, how many pieces of lumber does he need to purchase to make 5 bookshelves?
is this table linear or non -linear?
Answer:
all of them are linear
Step-by-step explanation:
Use the function y=ax, plug x and y into it.
I have just tried it and all of them are linear function.
ANYONE PLZ PLZ PLZ ANSWER THIS QUESTION
Answer:
120
Step-by-step explanation:
you add em all up then you find the answer choice
A parallelogram has a height of 14 in and a base
that is 2 in long. What is the area of this
parallelogram?
HURRY PLEASE
Answer:
28 in^2
Step-by-step explanation:
Given,
Height of the parallelogram = 14 in
Base of the parallelogram = 2 in
Therefore, area of the parallelogram = base × height
= 2 in × 14 in
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 28 {in}^{2} (ans)[/tex]
someone help? thanks <3
Answer:
10^2 +6/2
100+3
103
Step-by-step explanation:
Answer:
103
Step-by-step explanation:
[tex] {a}^{2} + \frac{6}{b} \\ \\ = {(10)}^{2} + \frac{6}{2} \\ \\ = 100 + 3 \\ \\ = 103[/tex]