(-4 -16) and (2 -1) help pls
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The slope of the line with given points is 15/6
What is Slope of LineThe slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
m = Δy / Δx
m = y₂ - y₁ / x₂ - x₁
m = -1 - (-16) / 2 - (-4)
m = -1 + 16 / 2 + 4
m = 15 / 6
The slope is 15 / 6
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What is slope of (-4 -16) and (2 -1)
Related Questions
(SAT Prep) Find the value of x.
x 105 35
Answers
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
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Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?
To solve 5/7 - 2/n = 1/21
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Answer:
Step-by-step explanation:
Lol u think AM smArt to hice You the answer
Write a function to describe the quadratic relationship given in the table.
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Given the quadratic function formula
\(\begin{gathered} y=ax^2+bx+c \\ \text{where a, b and c are real numbers and a}\ne0 \end{gathered}\)Use two points on the table to find the values of the unkonwns in the above equation
\(\begin{gathered} \text{when x=2, y=11} \\ 11=a(2)^2+b+c \\ 11=4a+2b+c_{}-----\text{eqn (1)} \end{gathered}\)\(\begin{gathered} \text{when x=4, y=47} \\ 47=a(4^2)+bx+c \\ 47=16a+4b+c\text{ -------eqn(2)} \end{gathered}\)Also
\(\begin{gathered} 107=a(6)^2+6b+c \\ 107=36a+6b+c------\text{eqn}(3) \end{gathered}\)\(\begin{bmatrix}{4} & {2} & {1} \\ {16} & {4} & {1} \\ {36} & {6} & {1}\end{bmatrix}\begin{bmatrix}{} & {a} & {} \\ {} & {b} & {} \\ {} & {c} & \end{bmatrix}=\begin{bmatrix}{} & {11} & {} \\ {} & {47} & {} \\ {} & {107} & \end{bmatrix}\)Thus, a = 3, b= 0 and c= -1
Substitute the above values in the general quadratic equation formula
\(\begin{gathered} y=3x^2+0(x)+(-1) \\ y=3x^2-1 \end{gathered}\)Hence, the fucntion that best describe the relationship in the table is y=3x² - 1
PLEASE HELP!!! due today!!
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Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
The m∠ABC = (10x-5)°and m∠CBD=35°. If the angles are supplementary, find the value of x.
Answers
Answer:
15
Step-by-step explanation:
Supplementary angles completes each other to 180°
if the teo angles are supplementary here the the sum of 10x - 5 + 35 should be 180°
10x - 5 + 35 = 180
10x + 30 = 180
10x = 150
x = 15
please solve step by step
Answers
Answer:
x = 10,8
Step-by-step explanation:
Raise both sides to the power of 2.
When the square root of a number is squared, the result is the original number.
Expand the square
Then you get x = 10,8.
Help quick in timed and I don’t have a lot left
Answers
Answer:
Should be the 2nd choice.
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
Answers
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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Find the 19th term for the arithmetic sequence in which the 23rd term is 9 and the 11th term is -75 .
A) -19
B) -27
C) 27
D) 19
Answers
Answer:
A) -19
Step-by-step explanation:
Basics first:
An arithmetic sequence progresses with numbers being added or subtracted by a constant value.
After understanding that, as soon as we have any two values of the sequence we can find the constant value which is added or subtracted.
Look:
The 11th term is -75.
12 terms later (23th), the term is 4.
In other words, after "jumping" 12 terms, we went up 84 numbers (75 + 9)
To find the size of each "jump" we just divide the total number variation (84) by the number of jumps (12)
84/12 = 7
Now that we know the size of each jump, we can either jump 4 terms back from the 23rd term or jump 8 terms forward from the 11th term.
I will jump 4 terms back from the 23rd term:
19th term = 23rd term - 4 jumps
19th term = 9 - 4 * 7 //Remember that 7 is the jump size
19th term = 9 - 28
19th term = -19
Answer:
-19
Step-by-step explanation:
I just did the test
the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Answers
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
The manager of a football team is keeping track of the yards
gained or lost on each play of a football game. On the first
play, the team gained 4 yards. On the second play, the team
lost 33 yards. On the third play, the team gained 11 yards.
What was the position of the ball relative to its starting point
after the first three plays of the game?
Answers
Answer: -48 yd
Step-by-step explanation:
The summary of the payroll for the monthly pay period ending July 15 indicated the following:
Sales salaries $125,000
Federal income tax withheld 32,300
Office salaries 35,000
Medical insurance withheld 7,370
Social security tax withheld 10,200
Medicare tax withheld 2,550
Required:
Journalize the entries to record (a) the payroll and (b) the employer's payroll tax expense for the month. The state unemployment tax rate is 3.1%, and the federal unemployment tax rate is 0.8%. Only $25,000 of salaries are subject to unemployment taxes. Refer to the Chart of Accounts for exact wording of account titles.
Answers
The journal entries to record (a) the payroll and (b) the employer's payroll tax expense for the month are as follows:
Journal Entries:a) The payroll:
Debit Sales salaries $125,000
Debit Office salaries 35,000
Credit:
Federal income tax withholding payable 32,300
Medical insurance withholding payable 7,370
Social security tax withholding payable 10,200
Medicare tax withholding payable 2,550
Cash $107,580
To record the monthly payroll.b) The employer's payroll tax expense:
Debit Payroll Tax Expense $975
Credit:
Federal Unemployment Tax Payable $200
State Unemployment Tax Payable $775
To record the employer's payroll tax expense for the month.Data and Transaction Analysis:SUTA = 3.1% of $25,000 = $775
FUTA = 0.8% of $25,000 = $200
Sales salaries $125,000
Federal income tax withheld 32,300
Office salaries 35,000
Medical insurance withheld 7,370
Social security tax withheld 10,200
Medicare tax withheld 2,550
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Which of the following shows the image T of triangle ABC under the transformation (x,y)→(x−4,y+1)?
Answers
The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.
Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).
To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:
(x,y) → (x-4, y+1)
(a,b) → (a-4, b+1)
Therefore, the image of vertex A is A'(a-4, b+1).
Similarly, we can find the images of vertices B and C:
B'(c-4, d+1)
C'(e-4, f+1)
Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
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Given the information in the diagram below, find the measure of angle N. Use complete sentences to show how you found this answer. In your written response, include key vocabulary terms.
Answers
Answer:
76
Step-by-step explanation:
j and k are the same size and every triangle equals 180
64+64=128
180-128=52
L=52
l and m are the same
52+52=104
180-104= 76
n=76
Amy is an installer for the telephone company. She earns $13.10 per hour. How much will she earn in 37.5 hours?
Answers
Answer:
$491.25
Step-by-step explanation:
Amy is an installer for the telephone company. She earns $13.10 per hour. How much will she earn in 37.5 hours?
$13.10 * 37.5 = $491.25
Dzani bought some candy. If he packs them equally into 4 jars, he will have 3 candies left. If he packs them equally into 5 jars, he will have 1 candy left. What is the smallest possible number of candies Dzani bought?
Answers
The smallest possible number of candies Dzani bought is 11
How to determine the smallest possible number of candies Dzani bought?From the question, we have the following parameters that can be used in our computation:
4 jars and 3 remaining candles5 jars and 1 remaining candleRepresent the number of jars with x
So, we have
4x + 3 = 5x + 1
Collect the like terms
So, we have
5x - 4x = 3 - 1
Evaluate
x = 2
So, we have
Candles = 4 * 2 + 3
or
Candles = 5 * 2 + 1
Evaluate
Candles = 11
Hence, the smallest possible number of candies Dzani bought is 11
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If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of
getting exactly 6 heads?
Answers
The probability, to the nearest thousandth, of getting exactly 6 heads is 0.008
Probability is the likelihood or chance that an event will occur
Probability = Expected/Total
If a fair coin is tossed 7 times, the total outcome will be 2^7 = 128
The probability of getting exactly 6 heads is only 1 outcome, hence the expected will be 1.
Pr(exactly 6 heads) = 1/128 = 0.008 (to nearest thousandth)
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Please help me I don’t k ow how to do it
Answers
triangle UTV similar with triangle YZX
Step-by-step explanation:
that mean UT/YZ = TV/ZX = UV/YX is the answer
a prize is divided in the rayio 1:4. if the larger share is £96 what is the total prize
Answers
Answer:
£120
Step-by-step explanation:
96 divided by 4=£24
1=£24
24+96=120
What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 and one-half feet, width of 24 feet, and height of 6 feet. Use the formula A = one-half b h to find the area of the base. Use the formula A = b h to find the area of the base. Use the formula V = B h to find the volume of the prism. The volume of the prism, V is (114) (6) = 684 feet cubed. The volume of the prism, V is (228) (6) = 1,368 feet cubed.
Answers
The steps to be taken to determine the volume of the rectangular prism are:
Use A = bh to find the area of the base.
Use V = Bh to find the volume of the prism.
Volume of the prism, V = (228)(6) = 1,368 feet cubed.
How to Find the Volume of a Rectangular Prism?A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:
Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.Parameters are:
Length of prism = 9 and one-half feet,
Width of prism = 24 feet,
Height of prism = 6 feet
Given the dimensions of the rectangular prism above, do the following:
Find the area of the base of the rectangular prism:
Area of base = (9 1/2)(24) = 228 cm²
Find the Volume of the prism using V = Bh :
Volume of the prism = (228)(6) = 1,368 feet cubed.
Therefore, the steps to be taken to determine the volume of the rectangular prism are:
Use A = bh to find the area of the base.Use V = Bh to find the volume of the prism.Volume of the prism, V = (228)(6) = 1,368 feet cubed.Learn more about volume of the rectangular prism on:
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What is the LCD of 8/15 and 3/5?
Answers
The denominators are 15 and 5
The LCM, or lowest common multiple, of 15 and 5 is 15.
Note how 15 is a multiple of 5.
We can write 3/5 as 9/15 after multiplying top and bottom by 3.
A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
Answers
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answers
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
State if the pair of triangles are similar. If so, state how you know they are similar and complete the similarity statement.
Answers
The triangles ∆UTS and ∆UBA are similar, hence we can write the similarity statement as:"Triangle ∆UTS is similar to triangle ∆UBA."
How to determine if triangles ∆UTS and ∆UBA are similarTo determine if triangles ∆UTS and ∆UBA are similar, we need to check if their corresponding angles are congruent and if their corresponding sides are proportional.
If ∆UTS is similar to ∆UBA, the following conditions must be true, then each angle in ∆UTS must have a corresponding congruent angle in ∆UBA. Also, the ratio of the lengths of corresponding sides in ∆UTS and ∆UBA must be equal.
AB/ST = 984/1271 = 0.7742
UB/UT = 768/994 = 0.7742
UA/US = 648/837 = 0.7742
AB/ST = UB/UT = UA/US
Therefore triangles ∆UTS and ∆UBA are similar, hence we can write the similarity statement as:"Triangle ∆UTS is similar to triangle ∆UBA."
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Graph the function and describe the domain and range f(x)=(x-2)(x+4)
Answers
The function f(x) = (x-2)(x+4) is a quadratic function that can be written in standard form as f(x) = x^2 + 2x - 8.
To graph this function, we can start by finding the vertex, which is located at x = -b/2a = -2/2 = -1, and then plotting a few additional points to determine the shape of the parabola.
To find the y-coordinate of the vertex, we plug x = -1 into the equation and get f(-1) = (-1)^2 + 2(-1) - 8 = -7. So the vertex is at (-1, -7).
We can also find the x-intercepts by setting f(x) = 0 and solving for x:
(x-2)(x+4) = 0
x-2 = 0 or x+4 = 0
x = 2 or x = -4
So the x-intercepts are at (2, 0) and (-4, 0).
To find the y-intercept, we set x = 0 and get f(0) = (0-2)(0+4) = -8. So the y-intercept is at (0, -8).
Now we can plot these points and sketch the parabola:
```
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| *
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------+------------> x
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```
The domain of the function is all real numbers, since there are no restrictions on the values that x can take.
To find the range of the function, we can look at the vertex and see that the lowest point on the parabola is at y = -7. Since the parabola opens upward, the range extends from -7 to infinity:
Range: [-7, ∞)
This Took me a long long time
What is zw?
need help asapppppp
Answers
Answer:
2nd one
Step-by-step explanation:
2. A client has approached a stockbroker with the following request: Invest $100,000 for maximum annual income under these conditions: • Spread the investment over no more than three different stocks • Put no more than 40 percent of the money into anyone stock • Put a minimum of $10,000 in to oil stock. The broker has identified three stocks for investing the funds. Their estimated annual returns and price per share are shown in the following table: Stock Price Per share Estimated annual return per share Oil $120 $11 Auto 52 4 Health 18 2 Required: Formulate an LPM for the problem. 1. Given this summarized linear programming model: Maximize: Subject to: 1. 2. 3. i) Graph the model ii) Find the optimal point on the graph using the extreme point approach iii) Use simultaneous equations to determine the optimal value of iv) Determine the amount of slack for each constraint
Answers
Answer:
Step-by-step explanation:
the optimal point is (40,000, 40,000, 20,000), which gives an annual income of $680,000. The slack for the first, second, and fourth constraints is 0, and the slack for the third constraint is also 0.
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Answers
Besides 40 and 1, what is one factor of 40?
Answers
Answer:
Step-by-step explanation:
40 x 1 = 40
20 x 2 = 40
10 x 4 = 40
8 x 5 = 40