Answers
the slope of the line on the graph is 3 .
What is slope of a line ?Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio can alternatively be expressed as a quotient, which yields the same result for any two separate locations on the same line ("rise over run"). A negative "rise" indicates a falling line. A road surveyor may judge that the line is useful, or it may show up in a diagram of a road or a roof as a description or a design. The steepness, incline, or grade of a line can be measured using the slope's absolute value. A slope with a larger absolute value denotes a steeper line.
Calculationto find the slope of the graph we will take two points which lies on the same line i.e. they must be collinear .
the points i m choosing is (-2,0) and (-1,3)
now for finding the slope we will use the formula
m = (y2-y1)/(x2-x1)
m = (3 - 0 ) / (-1+2)
m = 3 / 1
m = 3
so the slope of the line on the graph is 3 .
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Related Questions
find the number of calories in a stalk of celery and in a carrot, a carrot hs 13 calories more then a celerystalk, five carrots and 1o celery stalks have only 170 calories
Answers
The number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.
What is defined as the method of substitution?The algebraic method for solving simultaneous linear equations is the substitution method. The value with one variable through one equation is replaced in the other equation, as the name implies.For the given question;
Let the number of calories present in carrot is 'x'.
Let the number of calorie present in celerystalk is 'y'.
Carrot has 13 more calories than celerystalk.
Thus,
x = y + 13 ......eq 1
Now, 5 carrots and 10 celery stalks have total 170 calories.
The equation becomes.
5x + 10y = 170
Substitute the value of x from eq 1.
5(y + 13) + 10y = 170
Simplify the equation;
5y + 65 + 10y = 170
15y = 105
y = 7 (number of calories in stalk of celerystalk)
Put the value of y in eq 1.
x = y + 13
x = 7 + 13
x = 20 (number of calories in stalk of carrot)
Thus, the number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.
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Plot the image of point D under a dilation about the origin (0,0) with a scale factor of 2
Answers
The coordinates of the image of point D are (- 6, - 4) and a representation of the rigid transformation is shown in the picture attached below.
How to determine the location of the image of a point set on Cartesian plane
Herein we find the location of point D, which is set on Cartesian plane and must be modified by the use of a rigid transformation known as dilation. The general definition of the dilation rule is defined below:
D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]
Where:
O(x, y) - Center of dilation.k - Scale factorD(x, y) - Coordinates of the point.D'(x, y) - Coordinates of the image.If we know that O(x, y) = (0, 0), D(x, y) = (- 3, - 2) and k = 2, then the coordinates of the image are:
D'(x, y) = (0, 0) + 2 · [(- 3, - 2) - (0, 0)]
D'(x, y) = (- 6, - 4)
Now we proceed to present the location of the image on the Cartesian plane.
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Write the function rule g(x) after the given transformations of the graph of f(x) = 6x.
reflection in the x-axis; vertical compression by a factor of
2
g(x) =
Answers
Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations can be divided into four categories: translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.
Given Data
f(x) = 6x
The resulting function will be f(x) = -6x if the function is not reflected over the x-axis.
The final function rule will be; if the resulting function is compressed by a factor of 1/12.
g(x) = 1/12(-6x)
g(x) = -1/2x
Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.
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Help me solve this!!
Answers
Answer:
3.3 x 10^-4
Step-by-step explanation:
It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4
The Sydney Opera House can house no more than 5738 people. Luisa Miller always brings crowds of at least 4,000 people. What is the maximum number of empty seats that might not be filled during her performance?
Answers
Answer:
a maximum of 1,738 empty seats
Step-by-step explanation:
5,738 - 4,000 = 1,738
Find all roots
y = 3x³ - 7x² − 14x + 24
Answers
Answer:
[tex]x=-2, x=\frac{4}{3}, x = 3[/tex]
Step-by-step explanation:
First, factor it.
[tex](x+2)(3x-4)(x-3)=0[/tex]
Use the Zero Factor Principle and equate them each to 0.
[tex]x+2=0\\x=-2\\\\3x-4=0\\x=\frac{4}{3}\\\\x-3=0\\x=3[/tex]
This is how you find the roots of [tex]3x^3-7x^2-14x+24[/tex].
Cual es el volumen de una pirámide triangular que tiene por base 9cm x 8cm y una altura de 16 cm. Aiuda por favor es para mañana
Answers
Answer:
Step-by-step explanation:
Así que tienes que multiplicar 8x9x16 y dividir por 2 y luego multiplicar por 4 PUEDE ESTAR EQUIVOCADO ASÍ QUE TEN CUIDADO
Help please , THANKS!
:DD
Answers
Answer:
73°
Step-by-step explanation:
To find ∠QPS, just add ∠1 and∠2
∠QPS = ∠1 + ∠2
= 44° + 29°
= 73°
Answer:
∠QPS = 73°
Step-by-step explanation:
∠1 = 44°
∠2 = 29°
∠QPS = ∠1 + ∠2 = 44° + 29° = 73°
suppose one person in your team has two x^{2}-tiles three x-tiles and one unit tile on his desk and another person has one x^{2}-tile five x-tiles and eight unit tiles on her desk. you decide to pull all of the tiles together on one desk. what is the name for this new group of tiles?
Answers
The name for this new group of tiles will be three x² tiles, eight x tiles and nine unit tiles.
How to illustrate the information?Based on the information, it should be noted that the following can be illustrated:
Number of x² tiles = 2 + 1 = 4
Number of x tiles = 3 + 5 = 8
Number of units tiles = 1 + 8 = 9
In this case, this is appropriately illustrated as three x² tiles, eight x tiles and nine unit tiles.. This will be the new name.
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8 1/4 + 2 5/8 = ?
I REALLY NEED HELP!!!!!!!
Answers
Answer: the answer is 10.875
Hope this helped :D
Answer:
10 7/8 Here you go :) ten seven eights
Step-by-step explanation:
In Exercises 6 and 7, use the Law of Detachment to determine what you can
conclude from the given information, if possible.
6. If you eat a healthy breakfast, then you will not be hungry until lunchtime. You
are not hungry until lunchtime.
7. Adjacent angles share one common ray. ∠AOB and ∠ DOB are adjacent angles.
Answers
Using the Law of Detachment, the conclusions are given as follows:
6. No conclusion.
7. ∠AOB and ∠ DOB share one common angle.
What is the Law of Detachment?The Law of Detachment is a logic axiom which states that if a conditional and the hypothesis of a statement are true, then the conclusion of the statement is also true.
Supposing a conditional statement p -> q, we have that the hypothesis and the conclusion are defined as follows:
p is the hypothesis.q is the conclusion.For item 6, we have that the statements are given as follows:
Statement p: You eat a healthy breakfast.Statement q: You are not hungry until lunchtime.We have that p->q and q are true, hence no conclusion can be reached from the law of detachment.
For item 7, we have that the statements are given as follows:
Statement p: Adjacent angles.Statement q: Share one common ray.In this case, we have the hypothesis is true, hence the conclusion is that ∠AOB and ∠ DOB share one common angle.
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A plot of corn is 7 2/3 yards wide. It is 6 times as long as it is wide. How long is the plot of corn?
Answers
Answer:
length = 46 yards
Step-by-step explanation:
width = [tex]7\frac{2}{3}[/tex] yards
length = 6 times the width
[tex]7\frac{2}{3} *6 = 46[/tex]
length = 46 yards
Aşağıdaki sayı ikililerinden hangisinin en büyük ortak böleni 15 değildir? A) 30 ile 45 C) 60 ile 105 B) 45 ile 75 D) 75 ile 125
Answers
Answer:
D 75 and 125
Step-by-step explanation:
cünkü en büyük ortak böleni 25 dir
prove me wrong
Carpet installers often are paid by the square foot rather than by the hour. If a certain installer is paid $0.50 per square foot, how much would he earn on a day when he installed 896 sq ft of carpet?
Answers
Answer:
$44.80
Step-by-step explanation:
Multiply 0.50 by 896.
how to divide 40 by 178
178/40
Answers
Answer: 0.224
Step-by-step explanation:
40/178= 0.224
work in the pic
Nico earns $12.50 per hour as a math tutor. she that the relationship between the amount he earns and the number of hours he tutors is a proportional relationship. then write the equation for the relationship
Answers
Answer: [tex]y=12.50x[/tex]
Step-by-step explanation:
Let the number of hours be x and the total earnings in dollars be y. Since the total amount of money earned is the number of hours times the amount earned per hour, the equation is [tex]y=12.50x[/tex].
Suppose U={1,2,3,4,5,6,7,8} is the universal set and P={2,4,6,8}. Then what is P?
{0,1,3,5,7}
{0,1,3,5,7,9}
{1,3,5,7}
{ }
Answers
{ } pls i right,or u can help me out
(7.98 × 104) + (2.02 x 10-4)
Answers
Answer: 846.12
Step-by-step explanation:
X=7/8t+3; t what does t equal?
Answers
Answer:
[tex]t=\frac{8x-24}{7}\\[/tex]
Step-by-step explanation:
[tex]\frac{7}{8}t+3=x\\\frac{7}{8}t=x-3\\7t=8x-24\\t=\frac{8x-24}{7}[/tex]
Pretty simple, basic algebra.
1. Switch the sides to make it easier to read
2. Subtract 3 on both sides
3. Divide both sides by 8 to cancel the denominator
4. Divide both sides by 7 to isolate the y
1. One of two supplementary angles is four times the other. Find the largest angle.
Answers
144 is the largest angle in supplementary angle .
What is an example of a supplementary angle?
Angles that add up to 180 degrees are referred to as supplementary angles. For instance, the sum of angle 130° and angle 50° is 180°, hence they are supplementary angles.The pair of angles known as supplementary angles always add up to 180 degrees. The terms "supplements" for these two viewpoints describe them. The Latin terms "Supplere" and "Plere," which mean "supply" and "fill," respectively, are the source of the English word "supplementary."Let one angle = x
then other angle is four times the other = 4x
x + 4x = 180
5x = 180
x = 180/5
x = 36
smaller angle = 36
largest angle = 4x = 4 * 36 = 144
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Tell how the Commutative and Associative Properties of Addition can help you evaluate the expression.
Answers
The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.
How to calculate the fraction?It should be noted that a fraction is simply used to represent the numbers that aren't whole. The commutative property of addition states that the sum is unaffected by the order of the addends.
According to the associative property of addition, the grouping of integers does not affect the sum.
Based on the information given, the fraction is illustrated as:
= - 1 3/4 - (-8 1/3) - (- 4 1/4)
Note that (-) × (-) = +
Therefore,
= - 1 3/4 - (-8 1/3) - (- 4 1/4)
= - 1 3/4 + 8 1/3 + 4 1/4
The LCM of the denominator is 12
= - 1 9/12 + 8 4/12 + 4 3/12
= 12 7/12 - 1 9/12
= 10 10/12
= 10 5/6
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Please help me with math lol
Answers
Answer for 1: 16.4
Answer for 2: 10.095
Answer for 3: 7.431
Answer for 4: 2.31
Answer for 5: 42.74
Answer for 6: 10.224
Answer for 7: 4.436
Answer for 8: 20.574
Answer for 9: 35.626
Answer for 10: 31.042
Answer for 11: 84.708
Answer for 12: 53.066
Answer for 13: 0.0061
Answer for 14: 7.092
Answer for 15: 1.463
Answer for 16: 92.0898
I hope this helps :)
What’s the answer plss
Answers
The height till which the ladder will reach the wall will be 3.84 m.
What is defined as the trigonometric identity?Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities involve one or more trigonometric functions (including such sine, cosine, and tangent). The principal trigonometry functions are sine, cosine, and tangent, whereas the other three functions are cotangent, secant, and cosecant. All six trig functions are used to derive the trigonometric identities.For the given question,
The distance between the base of the ladder and the wall is 1.4 m.
The angle made by base of the ladder to the floor is 70 degree.
Let the height till which the ladder goes be 'h'.
Then, applying the trigonometric identity.
tan 70 = h/1.4
h = 1.4 × tan 70
h = 3.84 m
Thus, the height till which the ladder will reach the wall will be 3.84 m.
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. Find the number which is when multiplied by 15 is increase by
196?
Answers
Answer: 14 is the number
Step-by-step explanation:
In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.
Answers
There is a 0.75 percent chance that the person is a woman with long hair.
What is probability?Probability can be used to define potential. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. The likelihood of anything happening is often referred to as probability. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur. A probability scale with a value of 0 for an impossibility and 1 for a certainty. In a sample space, there is a one probability for every event.
E is the probability of an event . Hence,
P(E) is the ratio of favorable results to all outcomes.
In probability, an event is deemed dependent if it is impacted by other occurrences, and independent if it is wholly unaffected by the occurrence of any other event.
By applying the literature and formulas previously mentioned, we have:
F should signify for the fact that the student is female, and L should stand for the fact that the student has long hair.
P(F)
= 0.60
P(L)
= 0.50
P(F AND L)
= 0.45
P(L|F)
= 0.75
There is a probability of 0.75 that a randomly chosen student has long hair.
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Taylor is struggling with literal equations. She has tried to solve the equation below for several times but still can't get the correct answer. Her steps that she used to solve for m are shown below. In which step is she making an error?
Answers
The step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.
In this question, we have been given Taylor is solving a literal equation (x + 3y) / 2 = 40v
We have been given her steps that she used to solve for y.
We need to find an error in the steps.
First we solve given literal equation for y.
(x + 3y) / 2 = 40v
x + 3y = 40v × 2 .................(Multiply both the sides by 2)
x + 3y = 80v
x + 3y - x = 80v - x ...................(Subtract x from both the sides)
3y = 80v - x
y = (80v - x)/3 ............(Divide each side by 3)
If we observe Taylor's steps, we can see that there's an error in the step 3y = 80v + x.
Therefore, the step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.
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Find the total surface area of this cone.
Leave your answer in terms of T.
25m
8m
SA = [?]π m²
Hint: Surface Area of a Cone = Tre + B
Where = slant height, and B = area of the base
Enter
Answers
Answer:
264
Step-by-step explanation:
The area of the base is [tex]\pi(8)^2=64\pi [/tex].
So, the surface area is [tex]\pi(8)(25)+64\pi=264\pi[/tex]
Please help
Step by step
Answers
Explanation:
determine if the sequence is arithmetic. if it is find the common difference and the next 3 terms in the sequence 35, 32, 29, 26
Answers
Answer:
-3 and 23,20,17
Step-by-step explanation:
35-3=32,32-3=29
2/11 multiplied by 7/3
Answers
Step-by-step explanation:
14/33.
step 1. in the denominator you find the Lowest commons multiple, since 11 and 3 don't have common multiples, you just do 11 x 3 which is 33. you denomination would be 33
step 2. multiply 2 and 7 which is 14. your answer is 14/33.