Find the slope of each line defined below and compare their values.
Equation of Line A:
-1=
(x – 6)
Graph of Line B:
10
7
6
5
3
2
-Q-
8-7-6
-5
-3
-2 -1
2
3
4
5
6
8
to
g
-3
The slope of Line A is
and the slope of Line B is
Therefore the slope
of Line A is
the slope of Line B.
Answers
Step-by-step explanation:
The equation of line A:
y - 1 = 0.5x - 3
y = 0.5x - 2. Hence its gradient is 0.5.
For line B, its y intercept is -8, so y = mx - 8.
When x = -4, y = -4m - 8 = 0 as shown in the graph. This means that m = -2.
So the equation of line B:
y = -2x - 8. Its gradient is -2.
Since |-2| > |0.5|, line B is steeper than line A.
The slope of the line A(1/2) > slope of line B(2).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take Points from the graph as (-4, 0) and (0, 8)
so, the slope is
m = (8-0)(0-(-4))
m = 8/ 4
m = 2
So, the slope- intercept form
y- 0 = 2(x- (-4))
y= 2x + 8
Hence, the slope of the line A(1/2) > slope of line B(2).
Learn more about slope here:
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Related Questions
Brad and Nora both went bowling last weekend, but not together. Brad went during open bowling time, paying $2 for shoe rental and $3 per hour. Nora went on family night, when each hour was $1 and shoe rental was $6. As it turned out, they played for the same number of hours and spent the same amount. How many hours did each one bowl?
Answers
Point Q' is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q'?
A (9,-5)
B. (1.1)
C (3.-5)
D. (1-1)
Answers
Answer:
A. (9,-5)
Step-by-step explanation:
Translation down is -2 to the y coordinate, which is (5,-5). Then you translate it right 4 units, which is +4 to the x coordinate, so the final coordinate is (9,-5).
_ - 72 = 62 - 53
Fill in the missing number
Answers
What is the answer to all these questions? I need help asap
Answers
Answer:
1) Slope= 2, y-intercept=4, equation: y=2x+4
2.Slope= -10 , y-intercept= 60 , equation: y=-10x+60
Step-by-step explanation:
Slope formula: [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]
1. Plug in two sets of cordinates into the equation
(0,2) (2,8)
2. Solve, slope =2
3. Plug in one pair into the point slope formula
Point slope formula: [tex]y-y_1=slope(x-x_1)[/tex]
4. y-8=2(x-2)
5.y-8=2x-4
6. y=2x+4
Do the same for the other equation
Answer:
1: slope
2: y-intercept
1a: slope= 3
1b: 2
y=3x+2
2a: slope= -10
2b: 60
y= -10x+60
Step-by-step explanation:
find the vertex of y=x^2-6x+1 A. ( 1 , 5 ) B. ( 4 , 1 ) C. ( 2 , -3 ) D. ( 3 , -8)
Answers
[tex]h=\frac{-b}{2a}[/tex]
[tex]k=f(h)[/tex]
[tex]h=\frac{6}{2}[/tex]
[tex]h=3[/tex]
[tex]k=f(3)[/tex]
[tex]f(3)=9-18+1[/tex]
[tex]f(3)=-8[/tex]
The vertex is [tex](3,-8)[/tex]
Hope this helps.
頑張って!
write the equation of a line
Answers
Answer:
Answer: Option D.
Step-by-step explanation:
Hey there!!
Here, To find the equation of a st.line passing through point (3,1) is :
[tex](y - 1) = m1(x - 3)[/tex]
It is the first equation.
Given, Another equation is:
[tex]y = \frac{2}{3} x + 1[/tex]
It is 2nd equation.
Comparing the 2nd equation with y = mx+c we get,
Slope (m2) = 2/3.
As per the condition of parallel lines,
m1 = m2 = 2/3.
Putting, the value of m1 in equation 1st we get,
[tex](y - 1) = \frac{2}{3} (x - 3)[/tex]
or, 3 (y-1) = 2(x-3)
or, 3y - 3 = 2x - 6
[tex]y = \frac{2x - 6 + 3}{3} [/tex]
[tex]y = \frac{2}{3} x - 1[/tex]
Diving-3/3 = -1.
Therefore, y = 2/3 x - 1 is the required equation.
Hope it helps.
Elizabeth mode 12 lawns in four hours what is her rate of mowing of mowing in law per hour
Answers
Answer
seventytwo
Step-by-step explanation:
there 60 minute in hour+12+4 becayse 12 lans and 4 hors (correct me ig im wrong)
2, 10, 50, 250, ...
Write a recursive formula for
Answers
Answer:
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]
Step-by-step explanation:
The sequence has a common ratio r between consecutive terms, that is
r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5
Thus the sequence is geometric with recursive formula
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]
What is the absolute value of |5+8a|=53?
Answers
Answer:
a = 6 or a = -58/8
Step-by-step explanation:
I think you meant to ask us to solve for a.
There are two cases to solve for:
5 + 8a = 53 or -(5 + 8a) = 53
8a = 48 or 5 + 8a = -53
a = 6 or 8a = -58
a = 6 or a = -58/8
4x-15=25 what’s the answer to this? It’s a two step equation
Answers
Answer:
x=10
Step-by-step explanation:
4x=40
x= 40/4
x=10
Square number between 40 and 48
Answers
6. Give the slope of each line. Also, state if the lines are parallel (yes or no).
Hint: rewrite to slope intercept form.
AB: 2y + 2x = 8 and CD: y + x = 2
Slope of line AB:
Slope of line CD:
Are the lines parallel (yes or no):
Answers
Step-by-step explanation:
Hey there!!
Let me simply clear you.
Given,
AB: 2y+2x =8.
Let's take the equation in slope intercept form.
2y = -2x +8
[tex]y = \frac{ - 2x}{2} + \frac{8}{2} [/tex]
[tex]y = - 1x + 4[/tex]
Comparing the equation with y= mx+c, we get;
Therefore, slope of AB is -1.
Now,
Again, the another equation is,
y + x = 2
y = -x+2
Comparing, the equation with y = mx + c.
Therefore, slope of CD = -1
For parallel lines, m1=m2.
slope of AB (m1) = -1
slope of CD(m2)= -1
As m1= m2 {True}.
Therefore, They are parallel to eachother.
Hope it helps...
square root of 2025 by prime factorisation
Answers
I can give you the easy answer of 45, but let's use prime factorization.
What number looks like it divides into 2025 easily?
Your first answer was probably 5.
2025 divided by 5 is 405.
What number looks like it divides into 405 easily?
It was probably 5 again.
405 divided by 5 is 81.
Now hopefully you know that the square root of 81 is 9.
We can bring these all out of the radical.
[tex]\sqrt{2025}[/tex]
[tex](9*5)\sqrt{1}[/tex]
We know that [tex]\sqrt{1}=1[/tex], so we can simplify this whole expression down to the outside terms, which multiply to 45.
Answer:
45
Step-by-step explanation:
Working shown in the picture:)
Two angles form a linear pair. the measure of one angles is 15° less than 2/3 the measure of the other angle. Write and solve an algebraic equation to find the measure of each angle. I need help! someone plz help me!
Answers
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
If two angles are a linear pair, then their measures must add up to 180°. A straight line has a measure of 180°.
If we let one angle = x, then the other angle is (2/3)x - 15
Now we can form the following equation:
x + (2/3)x - 15 = 180
(5/3)x = 195
5x = 585
x = 117
Therefore, one angle is 117 degrees, and the other angle is (2/3 * 117) - 15 = 78 - 15 = 63 degrees.
Brian is traveling at a rate of 72.0 meters/second. What speed would he be traveling in miles/hour?
Answers
Answer:
we know that, 1miles/hour = 0.45m/s
or, 1meters/second = 1/0.45
1m/s = 2.22222222222
Step-by-step explanation:
Then,
72.0 meters/second = 72.0*2.22222222222
=160 miles per hour.
What point he plot to show how far he runs in 8 minutes and 12 minutes?
Answers
Answer:
4
Step-by-step explanation:
because you subtract it.
Picture pinned, need answers ASAP! Trying to give out “brainliest”
Answers
Answer:
The answer is 8.50
Step-by-step explanation:
If you multiply 8.5 by 2 3/5 the aswer will be 22.1
⚠️I'm sorry if i'm wrong⚠️
John makes and sells cookies. He made a profit of 58 dollars last week. The next week he decided to donate cookies to a local charity. His profit (earnings) for that week is represented by -27 since he didn't earn any money. Write a subtraction and addition expression to represent John's profit for the two weeks combined.
Answers
Answer:
Addition expression: 58+(-27)
Subtraction expression: 58-27
Solve -5=3/4x-2 please solve ???
Answers
Answer:
x=−4
Step-by-step explanation:
i hope this help you
Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours will Tiana have to spend in class before she will have a total of 43 pages of notes in her notebook?
Answers
Answer:
42 Hours.
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
Jason has 144 feet of material to build a fence around a rectangular garden on his property. If the width of the fence must be 9 feet, what is the length of the fence in yards if he uses all 144 feet of material
Answers
Answer:
Length = 63 feet
Step-by-step explanation:
concept used:
perimeter of rectangle = 2( length + width)
____________________________________________
Given that Jason has 144 feet of material and all is used in building fence.
It means that perimeter of fence is 144 feet.
2. Width of fence = 9 feet
let the length be x
perimeter of rectangle = 2( length + width)
then perimeter of fence will be = 2(9+x)
As given above perimeter of fence is 144 feet.
2(9+x) = 144
=> 9 + x = 144/2 = 72
=> x = 72 - 9 = 63
Length = 63 feet.
Answer:
21 yards
took the test :D
Please help me!I kinda bad at math:(((
Answers
A toy rental store charges a $100 anual fee, then $5 for each toy you rent. What is the average cost per toy if you rent 20 toys in a year?
Answers
Answer:
the answers 200
Step-by-step explanation:
Answer:
200$
Step-by-step explanation:
for 1 year it will charge 100$ and if you rent 20 toys in that year the toys will cost 100$ as well so if you add 100+100 you get 200 so the answer is 200$
-17 + -68+(+56) -5333+620
Answers
Answer:
-4742
Step-by-step explanation:
-17 + -68+(+56) -5333+620
-5418+58+620
-5418+676
-4742
:) Hope this helped
Answer:
-4742
steps :
-17 - 68 = -85
-85 + 56 = 29
29-5333= -5304
-5304+620 = -4742
Q:Evaluate -3(-10)
Choices:
1) 13
2) -13
3) -30
4) 30
Answers
Answer:
4. 30
Step-by-step explanation:
-3(-10)
=3×10
= 30
Just so you know in the future, here are some tips and tricks for multiplication.
1) If you are multiplying a positive and a positive, the answer is always gonna be positive
2) If you multiply a negative and a negative, the answers gonna be positive.
3) If you multiply a negative and a positive, the answers going to be negative.
Hope these help you in the future.
Which of the following is a correct proportion?
А. 2/3 = 4/9
B. 5/7 = 10/11
C. 4/6 = 8/12
D. 3/4 = 12/9
Answers
First, we'll solve A.
2 x2 = 4
3 x2 = 9
3x2=6, not 9.
So it is not A.
5 x2 = 10
7 x2 = 11
7x2=14, not 11.
So B. is out too.
It isn't D. because 12/9 is improper and 3/4 isn't.
So C. is left.
4 x2 = 8
6 x2 = 12
hope it helps!
===============================================
Explanation:
Let's go through the answer choices
-----------
Choice A.
Assume that the given equation here is correct. If so, then we can cross multiply to get
2/3 = 4/9
2*9 = 3*4
18 = 12
The last equation is false, so the first equation is also false. Choice A is not the answer.
-------------
Choice B.
We could do the similar trick as with choice A, but I'll use another method.
Use your calculator to find that
5/7 = 0.714 approx
10/11 = 0.909 approx
We get different decimal values for each fraction, so there's no way the two sides are the same. Choice B is crossed off the list.
-------------
Choice C.
I'll use another method here. Note how the denominators are 6 and 12, and how 6*2 = 12. If we multiply top and bottom of 4/6 by 2, then
(4/6)*(2/2) = (4*2)/(6*2) = 8/12
meaning that 4/6 = 8/12 is a true equation. We can see it through cross multiplication
4/6 = 8/12
4*12 = 6*8
48 = 48
or we could use our calculator to find that
4/6 = 0.667 approx
8/12 = 0.667 approx
Another calculator trick you can use is type in "4/6 - 8/12" without quotes and you should get 0 (or very close to it) as a result. This is using the idea that if x = y, then x-y = 0.
Choice C is the answer
----------------
Choice D.
Since we found the answer, we technically don't need to check choice D. But let's do so anyway.
Right off the bat, we know that 3/4 is less than one, while 12/9 is greater than one. So there's no way 3/4 = 12/9 could be true.
I really need help with this math problem. I hope anyone can answer this
Answers
Mr. rose takes $777.68 out of his bank account. The bank account has $10,364.45 left at the end of the day. How much money did Mr. rose bank account start with that day?
Answers
Answer: $11,142.13
Step-by-step explanation:
You add 777.68 to 10,364.45.
Answer:
11,142.13
Step-by-step explanation:
You add those 2 number
in a fraction with a denominator of 15, which value could a numerator be to produce a repeating decimal???? A. 15 B. 9 C. 11 D. 12
Answers
Answer:c.11
Step-by-step explanation:
There are many cell phone case options on the market. This discretionary item comes in a variety of colors,materials, thicknesses, protection levels, and more. Amit runs a small buisness that sells computer and phone case accessories. he has kept the following inventory of cell phone case sales for similar model phones:$19.99, $8.99, $35.99, $49.99, $49.99, $39.99, $99.99, $79.99, $35.99, $19.99, $49.99, $29.99, $49.99, $59.99, $35.99, $49.99, $19.99, $8.99, $29.99, $35.99. Using sigma notation calculate the mean cell phone case price. round your answer to the nearest cent. construct a frequency distribution for the data.use the frequency distribution to determine the mean.
Answers
Answer:
$40.59
$40.59
Step-by-step explanation:
Given the data below :
$19.99, $8.99, $35.99, $49.99, $49.99, $39.99, $99.99, $79.99, $35.99, $19.99, $49.99, $29.99, $49.99, $59.99, $35.99, $49.99, $19.99, $8.99, $29.99, $35.99
The mean of the sample data :
Σ(X) / n =
Σ(X) = $811.8
n = 20
Σ(X) / n = $811.8 / 20
Mean = $40.59
Frequency distribution:
Interval_____f_______fx
8.99_______2______ 17.98
19.99______3_______59.97
29.99______2______59.98
35.99______4______143.96
39.99______1______39.99
49.99______5_____249.95
59.99______1______59.99
79.99______1______79.99
99.99______1______99. 99
Total______20______811.8
Mean = Σfx / Σf
Mean = 811.8 / 20
Mean = 40.59