Answers
The slope intercept equation is 3y+ 2x = -4.5,
What is slope intercept equation?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
let the two points from the graph is (4, -4) and (-2, 0)
then
m= 4/ -6= -2/3
and the intercept is 1.6 as the line intersects the y- axis.
So, the slope intercept is
y= -2/3x - 1.6
3y= -2x - 4.5
3y+ 2x = -4.5
Learn more about this concept here:
https://brainly.com/question/26259030
#SPJ1
Related Questions
Find the equation for the line that passes through the point (2, -3), and that is parallel to the line with the equation x - 3y = 3
Answers
Step-by-step explanation:
the slope of a line is the factor of x, when the equating looks like
y = ...
so,
x - 3y = 3
x = 3y + 3
3y = x - 3
y = 1/3 x - 1
so, the original slope is 1/3.
a parallel line has the same slope.
having a specific point we can use the point-slope form as equation :
y - y1 = m(x - x1)
with m being the slope, and (x1, y1) being a point on the line.
y - -3 = 1/3(x - 2)
y + 3 = 1/3(x - 2)
simplified that is
y + 3 = 1/3 x - 2/3
y = 1/3 x - 2/3 - 3 = 1/3 x - 2/3 - 9/3 = 1/3 x - 11/3 =
= 1/3 × (x - 11)
Answer:
[tex]y=\frac{1}{3}x - \frac{11}{3}[/tex]
Step-by-step explanation:
We are given the line x-3y=3.
We want to write the equation of the line that is parallel to this line, and that passes through (2, -3).
Parallel lines have the same slope.
Therefore, let's find the slope of x-3y=3.
The line is currently written in standard form, which is ax+by=c, where a, b, and c are free integer coefficients.
In order to find the slope of this line, we can convert it into slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.
To do that, we need to isolate y on one side; this is the same as solving the equation for y.
x - 3y = 3
Start by subtracting x from both sides
-3y = -x + 3
Now divide both sides by -3
[tex]y = \frac{1}{3} x - 1[/tex]
The slope of the line is 1/3, as 1/3 is the coefficient in front of x.
It is also the slope of our new line.
Since the question doesn't specify which format for the equation of the line, we can use any form. However, let's put the equation of the new line into slope-intercept form.
So, substitute 1/3 as m in y=mx+b.
[tex]y = \frac{1}{3} x + b[/tex]
Now we need to find b.
As the equation passes through the point (2, -3), we can use its values to help solve for b.
Substitute 2 as x and -3 as y.
[tex]-3 = \frac{1}{3} (2) + b[/tex]
Multiply.
[tex]-3 = \frac{2}{3} + b[/tex]
Subtract 2/3 from both sides (we can write this as an improper fraction).
[tex]-\frac{11}{3} = b[/tex]
Substitute -11/3 as b in the equation.
[tex]y=\frac{1}{3}x - \frac{11}{3}[/tex]
If the coordinates of one endpoint of a
line segment are (2, 3) and the midpoint
of the segment is (5,3), what are the
coordinates of the other endpoint of the
segment?
Answers
Answer: (8,3)
Step-by-step explanation:
The distance from (2,3) to (5,3) is 3. The only other point that is 3 units away from (5,3) where y=3 is (8,3).
describe how you can use similar triangles to explain that the slope
Answers
Similar triangles can be used to explain the slope through the right angle.
What is a triangle?It should be noted that a triangle refers to a shape that has three sides and angles.
In this case, similar triangles can be used to explain the slope through the right angle. The slope of the hypotenuse is what we are concerned about.
The legs of the triangle will be the horizontal change and the vertical change of the endpoints.
Learn more about triangles on:
brainly.com/question/1058720
#SPJ1
A polygon has the following interior angle , (y+10); (y+20); (y+30); (y+40); (y+50);
Answers
A polygon has a total of 5 interior angles
In order to find the total amount of angles in a shape you do (the amount of angles - 2)x180 degrees
(5-2(3))180
3x180=540
Add the numbers you know (10+20+30+40+50=150)
540-150=390 and there are 5y altogether so divide 390 by 5 which is 78
HELP
Often times you can use similar triangles in the real world. Sarah is attempting to find the height of a tree by using a mirror. By the laws of physics she knows that the angle of incidence is congruent to the angle of reflection (these are marked in red on the diagram). Explain why the two triangles are similar and if she knows her height and the distance from the mirror to her feet and also the distance from the mirror to the tree how could she calculate the height of the tree?
Answers
The two triangles are similar by the AA Similarity theorem.
The height of the tree can be calculated by figuring out the ratio between the distance between the mirror to her feet and the distance from the mirror to the tree
How to use the concept of similar Triangles?From Law of Reflection, we know that the angle of incidence and the angle of reflection are equal to each other.
Now, triangles can be proved similar by the AA, SAS, or SSS theorems. However, in this question, the triangles as seen in the attached image can be proved similar by the AA similarity theorem.
This is because both triangles have one congruent angle in common.
Sarah and the tree are standing straight and perpendicular to the ground and as such, the angles formed by Sarah and the tree are right angles.
The above tells us that the two triangles have two angles in common, making them similar triangles by the AA (Angle Angle) similarity theorem.
Since the triangles are similar, it means that the ratios of the sides of the triangles will be the same. Thus, if Sarah knows the distance from the mirror to her feet and the distance from the mirror to the tree, she can create the ratio between the two triangles.
Read more about Similar Triangles at; https://brainly.com/question/14285697
#SPJ1
twelve bottles of water cost $9. How many bottles can you buy for $3?
What is the cost per bottle of water? How much would 7 bottles of water cost?
Answers
That is the answer for the 3 questions
And 3 dollars goes into 9 dollars three times, so to figure out how many u must do 12/3 = 4
So he can buy 4 bottles for three dollars
What is the cost per bottle?
Let x be cost of one bottle
12x=9
So x = 9/12 =3/4 = 0.75 cent
We know that if one bottle is 0.75 cent, then 7 bottles must be 0.75 x7= $5.25
For 2018, XYZ Co. uses machine-hours as the only overhead cost-allocation base. The direct cost rate is $8.00 per unit. The selling price of the product is $25.00. The estimated manufacturing overhead costs are $320,000 and estimated 50,000 machine hours. The actual manufacturing overhead costs are $360,000 and actual machine hours are 55,000. Using job costing, the 2018 actual (not predetermined) overhead cost rate is ________.
Answers
The 2018 actual overhead cost rate is $6.55
Compute the actual overhead cost rate for 2018?
Note that the requirement is to determine the actual overhead cost rate per machine hour in the year 2018, which considers the actual manufacturing overhead incurred and the actual machine hours used.
In essence, the actual overhead cost rate is the actual manufacturing overhead cost divided by the actual machine hours
actual overhead cost rate=$360,000/55,000
actual overhead cost rate=$6.55
https://brainly.com/question/16868593
#SPJ1
The B737-400 aircraft costs $2948 dollars per hour to operate. The algebraic expression 2948t gives the total cost to operate the aircraft for t hours. Find the total cost to operate the B737-400 for 3.6 hours.
Answers
Answer:
The required cost is $10,612.8
Step-by-step explanation:
Find the value at t = 3.6:
2948t, t=3,6
Substitute t=3,6
Multiply 2948x3,6
Solution = 10612,8
Help me with this please!! :)
Answers
Answer: 26 cards
Step-by-step explanation: Just divide 52 by 2 and you get 26 cards :)
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
In Les Misérables, Monsieur Thénardier and Madame Thénardier are married, and during Act 2, Cosette and Marius become married. If the Thénardiers must next to one another, and Cosette and Marius must sit next to one another, but there are no restrictions on how the others can sit, how many different ways can you seat the 13 people around the circular table?
4
17,160
14,515,200
6,227,020,800
Answers
There are 14,515,200 ways to arrange the people around the table
How to determine the number of ways?The given parameters are:
People = 13
Thénardiers = 2 actors
Cosette and Marius = 2 actors
If the married actors must seat together, then the actors must be grouped as 1.
The 2 actors can be arranged in 2! ways each
Now, there are 9 individuals remaining
The 9 people can be arranged in 9! ways
So, the number of ways is
Ways= 2! * 2!* 9!
Evaluate
Ways =14,515,200
Hence, there are 14,515,200 ways to arrange the people around the table
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help determine which option to take.
Determine the iterative rule for each sequence. Show your work.
Your friend trusts your tables in Problem 1, but wonders if you wrote the iterative rules correctly. Show two calculations to convince your friend that both your rules work.
my table is below (it is correct, I checked with my math teacher, it is ten percent added to the previous week for all you doubters)
Answers
The iterative rule for each sequence in the table will be to use the slope-intercept form of the equation of a line y=mx+b.
How to depict the information?In this situation, x is the week, and y is the amount paid. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0.
The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1.
After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week.
Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.
The calculations to convince your friend that both your rules work are:
m=(y2-y1)/(x2-x1)
(x1,y1)=(1,200)
(x2,y2)=(2,250)
m=(250-200)/(2-1)
=50/1 =50
y=50x+b
200=50(1)+b
200=50+b
b=200-50
b=150
Learn more about tables on:
https://brainly.com/question/3632175
#SPJ1
Please help!!! In 2000, the median household income was $41,990. In 2010, it was $49,445. What is the average rate of change in the median household income over this time period?
Answers
Answer: 745.50
Step-by-step explanation:
49445-41990=7455
7455/10=745.50
Multiply (-3) by (+1,4
Answers
The product (-3) * (1, 4) is (-3, -12)
How to multiply the numbers?The expression is given as:
(-3) * (1, 4)
Rewrite the expression as
(-3 * 1, -3 * 4)
Evaluate the product
(-3, -12)
Hence, the product (-3) * (1, 4) is (-3, -12)
Read more about products at:
https://brainly.com/question/10873737
#SPJ1
8/11 minus negative 1/3
Answers
Answer:
[tex] \frac{35}{33} [/tex]
Step-by-step explanation:
[tex] \frac{8}{11} - ( - \frac{1}{3} ) \\ = \frac{8}{11} + \frac{1}{3} \\ = \frac{8 \times 3}{11 \times 3} + \frac{1 \times 11}{3 \times 11} \\ = \frac{24}{33} + \frac{11}{33} \\ = \frac{35}{33} [/tex]
Things to note :
Subtracting a negative value will be equals to adding.
To add/subtract 2 fractions together, the denominator must be the same.
What is the slope of the linear function represented in
the table?
Answers
Slope formula: [tex]\frac{y1-y2}{x1-x2}[/tex]
To find the slope:
[tex]\frac{1-0}{0-(-7)} =\frac{1}{7}[/tex]
Hope it helps!
Answer:
Step-by-step explanation:
Good morning/evening!
The table we have is,
[tex]\Large\boxed{\begin{tabular}{c | 1} x & y \\ \cline {1-2} -7 & 0 \\ 0 & 1 \end{tabular}}}[/tex]
This is enough information. Using this we CAN find the slope of the line.
We will utilise the formula,
[tex]\Large\boldsymbol{\sf{m=\dfrac{\triangle y}{\triangle x}}}[/tex]
Slope = Change in y divided by the change in xThe change in y is 1, and the change in x is 7.
∵, the slope is [tex]\boxed{\rm{1/7}}[/tex]
done !!
[tex]\orange\hspace{300pt}\above3[/tex]
Suppose y varies directly with x. If x is 15 when yis 25, what is x when y is 10?
Answers
Answer:
the value of x will be
x= (10x15)/25=6
Lila’s dog Mollie had 8 puppies. 6 of them were male and 2 were female. What percent of Mollie’s puppies were female?
Answers
Find the critical value z alpha/2 that corresponds to the given confidence level. 81%
Answers
Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie. The required critical value is 1.31.
What are critical Values?Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie; for example, if the null hypothesis is true, the critical value is surpassed with probability alpha.
The value of α can be written as,
α = 1 - 0.81 = 0.19
[tex]z_{\frac{\alpha}{2}} = \dfrac{0.19}{2}= 0.095[/tex]
Now, using the z-table the value of z will be,
z = 1.31
Hence, the required critical value is 1.31.
Learn more about Critical Values:
https://brainly.com/question/14508634
#SPj
Write out the form of the partial fraction decomposition of the fraction. Do not determine the numerical values of the coefficients.
[tex]\frac{x^4}{(x^3+x)(x^2-x+7)}[/tex]
Answers
Factorizing the denominator gives
[tex]\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{x^4}{x(x^2+1)(x^2-x+7)} = \dfrac{x^3}{(x^2+1)(x^2-x+7)}[/tex]
Then the partial fraction decomposition would take the form
[tex]\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{a_0x + b_0}{x^2+1} + \dfrac{a_1x + b_1}{x^2-x+7}[/tex]
The difference of a number and its reciprocal is 35/6 Find the number.
Answers
Answer:
[tex]\huge\boxed{\sf x = 6 \ \ \ OR \ \ \ x = -1/6}[/tex]
Step-by-step explanation:
Let the number be x
Given condition:[tex]\displaystyle x - \frac{1}{x} =\frac{35}{6} \\\\Subtract \frac{35}{6} \ to \ both \ sides\\\\x - \frac{1}{x} -\frac{35}{6} = 0\\\\Multiply \ 6x \ to \ both \ sides\\\\x \times 6x - \frac{1}{x} \times 6x -\frac{35}{6} \times 6x = 0 \times 6x\\\\6x^2-6-35x=0\\\\6x^2-35x - 6 = 0[/tex]
Applying mid term break formula
We can use the factor -36 and +1 to break the mid term (-35x) because multiplying -36 and +1 gives -36 which is the product of side terms (-6 * +6 = -36)[tex]6x^2-36x+x-6=0\\\\Take \ common\\\\6x(x-6)+1(x-6)=0\\\\Take \ (x-6) \ common\\\\(x-6)(6x+1)=0[/tex]
Either:
x - 6 = 0 OR 6x + 1 = 0
x = 6 OR 6x = -1
x = 6 OR x = -1/6
Mr Ade's monthly salary is #460 after paying #50 for his house, giving #2 to each 5 children and setting aside #290 for food, how much has he left?
Answers
The amount of money left for Mr Ade after deducting his house payment, children allowance and food is #110
Total balanceMr Ade's total salary = #460Amount paid for his house = #50Amount given to each child = #2
Number of children = 5
Total given to his children = #2 × 5= #10
Amount for food = #290Balance left = 460 - (50 + 10 + 290)
= 460 - (350)
= #110
Learn more about total balance:
https://brainly.com/question/26867415
#SPJ1
Which pair of expressions is equivalent using the Associative Property of Multiplication?
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
4(2a ⋅ 5) = 8a ⋅ 20
4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5
Answers
Answer:
out of 700 full marks dolma obtained 525 marks in an examination express her marks in percent
When fully distributed, both give the answer 8a • 20 making them equivalent through Associative Property.
You are working out a budget for your holiday. Here is your list: Food $594.09 Clothes $204.33 Trips $100.40 Transport $310.05 Extras $189.74 Estimate how much you will spend altogether $ (Round each price to a hundred dollars before estimating)
Answers
We will spend altogether $1400.
We know that the process of combining two or more items is known as an addition. Addends are the sums of the numbers that are added. The addition sign (+), which is positioned in between the addends, is present. The outcome of adding the addends is referred to as the sum.
Given that
Food = $594.09
Clothes = $204.33
Trips = $100.40
Transport = $310.05
Extras = $189.74
Now we have to round each price to a hundred dollars.
Food = $600
Clothes = $200
Trips = $100
Transport = $300
Extras = $200
Now the sum = 600 + 200 + 100 + 300 + 200 = 1400
Therefore, we will spend altogether $1400.
Learn more about addition here -
https://brainly.com/question/641144
#SPJ10
Graph the image of the figure given the transformation
Answers
This transformation requires us to shift 1 unit left and 4 units down.
Please help! Need to pass!
Answers
The height of the ramp of Raúl is calculated as; 8ft
How to use the principle of similar triangles?Both big and small triangles are similar triangles because all three of their corresponding angles are congruent.
Now, to get the height we will use the concept of similar triangles to get;
h/2 = 12/3
Cross multiply to get;
h = 24/3
h = 8 ft
Thus, the height of the ramp of Raúl is 8ft.
Read more about similar triangles at; https://brainly.com/question/14285697
#SPJ1
jake has 32 quarters on his desk, and molly has q qaurters in her purse. Which algebraic expression represents the total numbers of quarters that jake and molly have.
Answers
Answer:
32+q=x
Step-by-step explanation:
32(jakes) + q (molly) = x(total)
Answer:
32+Q= total number of quarters.
Step-by-step explanation:
How many yards are in 1 mile 300 feet?
Answers
Answer:
1860 yards
Step-by-step explanation:
Question 14 of 49
Which of the following objects is best described by the term line segment?
A. The point where two sides of a triangle meet
B. The perimeter of a triangle
C. The angle formed by two sides of a triangle
D. One side of a triangle
SUBMIT
Answers
Option (A) one side of a triangle is the object that best describes the term line segment is the correct answer.
What is a line segment?
A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.
For the given situation,
A line segment is a portion or piece of a line that allows you to build polygons, determine slopes, and make calculations.
From the definition of line segment we know that the object that best describes the term line segment is one side of a triangle.
Hence we can conclude that option (A) one side of a triangle is the object that best describes the term line segment is the correct answer.
epresents a function?
{(2, 3), (3, 4), (5, 6), (2, 9)}
{(4, 2), (5,2), (6, 2), (9, 2)}
{(1, 2), (1, 3), (1, 4), (1, 5)}
{(-4, 9), (-8, -12), (-4, -15), (-8, -21)}
Answers
Answer:
No, it does not represent a function
Step-by-step explanation:
A function can be described as a set of points where each x coordinate has 1 corresponding Y coordinate
1 has multiple different Y coordinates
2 has multiple different Y coordinates
-4 has multiple different Y coordinates
Answer:
Only the second one
Step-by-step explanation:
All of the others have multiple values for 'x'
a function can only have one value for each value of x
Example: the first one when x = 2 it has two 'y' values 3 and 9
Which list shows all the factors of 16?
A. 1, 2, 4, 8
B. 1, 2, 3, 8, 16
C. 1, 2, 4, 8, 16
D. 16, 32, 48, 64
Answers
Answer:
C
Step-by-step explanation:
To be a factor of 16 they need to be numbers that divide into it without remainders.
Answer:
Step-by-step explanation:
its C