Find the slope of the line y=1/6x+3/2
The slope of the given line is [tex]\frac{1}{6}[/tex].
The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.
When a linear equation is written in slope intercept form, the slope of the line can easily be identified. The slope is "m" or the coefficient of x in the equation.
According to the question ;
The given line is
[tex]y = \frac{1}{6} x + \frac{3}{2}[/tex]
By comparing with the standard equation of the line .
y = mx + c
[tex]m = \frac{1}{6} \\ c = 6 \\[/tex]
Now ; slope of the line = m = [tex]\frac{1}{6}[/tex]
The slope of the line is [tex]\frac{1}{6}[/tex] .
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1. For every 1/4 mi Pascal walks, Lucien runs 2/3 mi. How many miles does Pascal walk for every 1 mi Lucien runs? Write your answers in the blanks. Write a complete sentence to answer the question.
Answer:
Step-by-step explanation:
1/4:2/3 = x:3/3
cross multiply
1/4 x
2/3 1
2/3x=1/4
divide by 2/3 on both sides..
when you divide a fraction you multiply by its reciprocal
1 3 3
4 2 8
so when lucien runs a mile, pascal walks 3/8 of a mile
I NEED THIS ANSWER ASAP PLEASE HELP ME OUT :((
Answer:
y+8=-14/11(x-7)
Step-by-step explanation:
Janet wants to build a fence around her square garden.her garden has an area of 81 square feet.How much fencing will Janet need?
Area of garden = 81 ft²
Area of square = side²
[tex] \rm \implies side ^{2} = 81 \\ \\ \rm \implies side = \sqrt{81} \\ \\ \rm \implies side = \sqrt{ {9}^{2} } \\ \\ \rm \implies side = 9 \: ft[/tex]
Perimeter of square = 4 × Side
= 4 × 9
= 36 ft
[tex] \therefore [/tex] Fencing needed by Janet = 36 ft
what is the area of the shape, respond if you love your mom
Answer:
162m
Step-by-step explanation:
(8x14)+ (10x5) =162m
112 + 50 = 162m
Answer:
162m
Step-by-step explanation:
Help me please asap!!
Answer:
67
Step-by-step explanation:
180 - (53 + 60) = 67
What is the value of x?
HELP! Please
Answer:
a. 68
Step-by-step explanation:
You just have to subtract these two numbers from 180 because adding all the angles of a triangle the resulta is 180. Subtracting those numbers from 180 will give you the result.
list three numbers that are larger than 20 but smaller than 50 and only have 2 factor
Answer:
23, 29, 31 I think. yeeeee good luck
What is 3 groups of 1/8
Answer:
3/8
Step-by-step explanation:
The 3 groups of 1/8 will be 3/8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Given that: 3 groups of 1/8
Then the number 3 and 1/8 is multiplied. Then the expression will be
⇒ 3 × 1/8
⇒ 3 / 8
Then the 3 groups of 1/8 will be 3/8.
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while holding her cat, Mya steps on a scale, the scale reads 127 pounds. Alone, Mya weighs 112 pounds. Write an addition equation to find the weight of Mya's cat.
Answer:
127+(-112)=15
Step-by-step explanation:
If you subtract 112 from 127, you can find the difference. Since 112 is Mya's weight, and the total is 127, we need to find out how much weight is left over after we take away Mya's weight, which would be the cat's weight. So if you follow the expression, which is 127+(-112), you would get a sum of 15 pounds. Since this is an addition problem, the expression would be 127+(-112) instead of 127-112. I hope you understand. The difference between 127 and 112 is the cat's weight, so the cat weighs 15 pounds.
Given a
6 and a common
difference of – 12, find the
18th term in the sequence.
Answer:-210
Step-by-step explanation:6, -6, -18, so, you multiply -12 by 18, and you can find that number. -12 times 18=-216, and -216+the first number 6, equals 210
Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x + 9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).
x
y
1
7
2
5
3
3
4
1
What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
y = negative 4 x + 9
y = negative 4 x + 18
y = negative 2 x + 9
y = negative 2 x + 18
Answer:
y = negative 2 x + 9
Step-by-step explanation:
Describe the slope of the line.
The slope of line from the given graph is 4/3.
The coordinates of line from the given graph are (4, 3) and (1, -1).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Now, put (x1, y1) = (4, 3) and (x2, y2) = (1, -1) is slope formula, we get
Slope = (y2-y1)(x2-x1)
= (-1-3)/(1-4)
= 4/3
Therefore, the slope of line from the given graph is 4/3.
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The tutors aren't working :/
Can you please check if the one I checked is right, if not please explain.
Please and thank you（＾∀＾）
Answer: it’s the first one
Step-by-step explanation:
congruent means flipped but still the same
Answer:
Yes, the second one is correct!
Step-by-step explanation:
They are in order by the congruent angles, so you are correct.
10 10 points
At a restaurant you meal is $20. In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip. What is the total
bill?
The graph shows two lines, A and B.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
O (1, 2) is the solution to both lines A and B.
(-1,0) is the solution to line A but not to line B.
(3, -2) is the solution to line A but not to line B.
(2, 1) is the solution to both lines A and B.
Answer:
(2,1) is the solution to both lines A and B
Step-by-step explanation:The answer is D
.Chelsea graphs a proportional relationship. Bradyn graphs a line that passes through the origin. What do you know about the y-intercept of each student’s graph? Explain your answer.
Answer:
If the graph of the line passes through the origin, it means that the graph has no y-intercept
Step-by-step explanation:
Here, we want to interpret the y-intercept of a graph that passes through the origin
If the y-intercept of a graph passes through the origin, it means that the value of the y-intercept is zero
In other words, the graph has no intercept on either the y or x axes
What is equivalent ratio in lower terms of 55:30
Answer:
11/6
Step-by-step explanation:
Answer:
the simplest form is 11/6
if a/3=b/2 what are the following ratios? 3a-3b/a-b
Answer:
[tex]\dfrac{3a-3b}{a-b}=\dfrac{3}{1}[/tex]
Step-by-step explanation:
[tex]\text{Given}\\\\\dfrac{a}{3}=\dfrac{b}{2}\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{a}{3\!\!\!\!\diagup}=3\cdot\dfrac{b}{2}\\\\a=\dfrac{3b}{2}[/tex]
[tex]\text{Substitute to}\ \dfrac{3a-3b}{a-b}:\\\\\dfrac{3\cdot\frac{3b}{2}-3b}{\frac{3b}{2}-b}=\left(\dfrac{9b}{2}-3b\right):\left(\dfrac{3b}{2}-\dfrac{2b}{2}\right)=\left(\dfrac{9b}{2}-\dfrac{6b}{2}\right):\left(\dfrac{3b-2b}{2}\right)\\\\=\left(\dfrac{9b-6b}{2}\right):\dfrac{b}{2}=\dfrac{3b\!\!\!\!\diagup}{2\!\!\!\!\diagup}\cdot\dfrac{2\!\!\!\!\diagup}{b\!\!\!\!\diagup}=\dfrac{3}{1}[/tex]
Other method:
[tex]\dfrac{3a-3b}{a-b}=\dfrac{3(a-b)}{a-b}\qquad|\text{cancel}\ (a-b)\\\\=\dfrac{3}{1}[/tex]
Help mee pleaseeeeee!!!!
Answer:
c bye have a good day
Step-by-step explanation:
did diagram shows the three squares that are joined at vertices to form a right triangle
Answer:
who katie
Step-by-step explanation:
Answer: the answer is letter A
Step-by-step explanation:
2 > −1/4 (d + 1) Solve the inequality.
HELP PLEASEEEEE ASAP!!!
please help its due today!
Answer:
B. 12.40
Step-by-step explanation:
Add all the hours
Total profit divided by the amount of hours
Write the equation for the
line that passes through
(-3, 5) and is parallel to the
graph of y = 2x - 4.
Answer:
(
y
−
4
)
=
2
⋅
(
x
+
3
)
y
−
4
=
2
x
+
6
y
=
2
x
+
6
+
4
We get the equation of the line as :
y
=
2
x
+
10
The graph will look like this:
graph{y=2x+10 [-10, 10, -5, 5]
Step-by-step explanation:
PLEASE HELP I DONT UNDERSTAND!!! :( also show your work
Answer:
just do y/x if its the same number for all its proportional
Step-by-step explanation:
if its not the same number for all ten its not proportional
5÷0
7÷1 etc.
A partial proof was constructed given that MNOP is a parallelogram.
Which statement should fill in the blank in the last line of the proof?
A. angle M is supplementary to angle O.
B. angle N is supplementary to angle P.
C. angle M is congruent to angle P
D. angle N is congruent to angle P.
Answer:
B
Step-by-step explanation:
B. angle N is supplementary to angle P
Answer:
B
Step-by-step explanation:
Evaluate if a = 6 a + a2 =
Answer:
42
Step-by-step explanation:
6 to the second power is 36+6 is 42.
the difference of 2 and x?
Answer:
2 is a number and x is a letter
Step-by-step explanation:
hope this helps XD
Is 7,8,10 linear or non linear and why and pls don’t use big words cuz I don’t and then the teacher gonna ask why hahahah
Answer:
9 and 8 are linear and 10 is non linear
Step-by-step explanation:
an = dn - c
The an stands for the nth term of the pattern. So a1 is the first term and a2 is the second term of the pattern. The d is the difference between each of the terms. The n stands for the term you're calculating. If you're calculating the third term, then n is 3. And c is a constant that you'll need to calculate.
For example, the linear number pattern of 1, 3, 5, 7, 9, … has an equation of:
an = 2n - 1.
Help plsss will give brainliest
Answer:
115.6
Step-by-step explanation:
use a calculator
