Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?
We will use the slope formula and fill it in accordingly.
[tex] m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6
[tex] m=\frac{-3-6}{5-(-2)}=\frac{-9}{7} [/tex].
The slope of your line is -9/7
Answer
Find out the slope of the points G(–2, 6) and H(5, –3).
To prove
The equation for finding the slope of two points be
[tex]m = \frac{y_{2} -y_{1}}{x_{2} - x_{1}}[/tex]
where m represented the slope .
As given
points G(–2, 6) and H(5, –3).
[tex]m = \frac{-3-6}{5+2}[/tex]
solving the above terms
[tex]m = \frac{-9}{7}[/tex]
Therefore the slope of points G(–2, 6) and H(5, –3) is
[tex]m = \frac{-9}{7}[/tex]
describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem.
Final answer:
To write a two-step inequality for a real-world problem, first identify the unknowns and known quantities related to the problem. Next, construct an inequality that represents the problem, and finally solve the inequality for the unknown variable. For example, budgeting for a party with a savings goal can be represented as an inequality.
Explanation:
To write a two-step inequality to solve a real-world problem, follow these steps:
Identify the unknowns: Understand what needs to be determined. This involves defining the variable(s) that will represent the unknown quantity(ies) in the problem.
Identify the known quantities: Make a list of the quantities that are given or can be inferred from the problem. These are the values you will use to construct your inequality.
Construct the inequality: Use the information from steps 1 and 2 to create an inequality that represents the problem. This often involves expressing the relationship between the known and unknown quantities using an inequality symbol (such as <, >, ≤, ≥).
Solve the inequality: Apply algebraic methods to solve for the unknown variable. This may involve isolating the variable on one side of the inequality.
For example, if you are planning a party and know you have a budget of $200 for decorations but want to save at least $50, you could set up the inequality x + 50 ≤ 200, where x represents the amount you can spend on decorations.
Write a compound inequality to represent all of the numbers between -4 and 6.
Answer: -4<x<6 would be the compound inequality
Step-by-step explanation:
Please Need Help! Which of the following is true for the relation f(x) = 5x + 1?
A- Both the equation and its inverse are functions.
B- Only the inverse is a function.
C- Only the equation is a function.
D- Neither the equation nor its inverse is a function.
Part of a tiling design is shown. The center is a regular hexagon. A square is on each side of the hexagon, and an equilateral triangle joins the squares. Complete the pattern around the hexagon and calculate the total area of the pattern.
A.
403.1 in.^2
B.
503.1 in.^2
C.
1,119.6 in.^2
D.
1,379.4 in.^2
Evaluate 8 + W/4 when W = 16.
The evaluation of the algebraic expression 8 + w/4 when w = 16 is 12
How to evaluate algebraic expressionGiven:
8 + w/4
when,
w = 16
substitute w = 16 into the expression8 + 16/4
= 8 + 4
= 12
Therefore, evaluation of the algebraic expression 8 + w/4 when w = 16 is 12
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If it is 11:15
a.m. at teens high school, then a bell will ring. which of these is true?
a. if a bell is not ringing, then it must not be 11:15.
b. if a bell is ringing, then it is 11:15.
c. if it is not 11:15, then a bell will not ring.
d. if a bell is ringing, then it is not 11:15.
e. if a bell is not ringing, then it is 11:15.
What is m∠AEB?
(See attachment)
Unfortunately, without the attachment or diagram, it is not possible to determine the measure of angle AEB.
Explanation:The question asks for the measure of angle AEB. In order to find this angle, we need to refer to the given diagram or attachment. Unfortunately, there is no attachment provided with the question, so it is not possible to provide a specific answer to the question. Please provide the diagram or attachment so that I can accurately determine the measure of angle AEB.
−cz+6z=tz+83 solve for z
Answer:
z = 83 / (-c - t + 6)
Step-by-step explanation:
Correct answer on Khan Academy
Write the equation you would use to solve each problem; then solve.
The quotient of a number and 15 is 120. Find the number
Point ___is the vertex of the angle marked in the figure.
Answer:
The vertex is the point E
Step-by-step explanation:
we know that
The angle marked in the figure is the angle [tex]<CEB[/tex]
therefore
The vertex is the point E
Answer:
Yes the person is right I got it right on the test
Step-by-step explanation:
Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q?
Enter your answer in the box.
Congruent triangles have equal corresponding angles
The measure of <Q is 30 degrees
The given parameters are:
m∠R=80°, and m∠S=70°
△PQR≅△STU
Given that both triangles are congruent, then the measure of Q is calculated using:
Q = 180 - 80 - 70
Evaluate the difference
Q = 30
Hence, the measure of <Q is 30 degrees
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Mark all statements that are true
A: this graph is not a function because the value x=3 is assigned to more than one y-value.
B: this graph is a function because the value of x is the same for every value of y
C: the equation of this line is x=3
D: this graph is a function whose domain is the set ( 3 )
Can Anyone Help Me
The number of e-mails sent each day in the United States is measured in the thousands.
A. True
B. False
The programmer can type 55 words per minute.
At that rate, how many words can the programmer type in 11 min?
66
550
605
655
Answer:
605 words per 11 minutes!
Step-by-step explanation:
60 / 55 = 1.0909
11 x 60 = 660
660 / 1.0909 = 605 + (6x - [tex]\int\limits^a_c {b} \, dx[/tex]) / 10
605 + (6x - [tex]\int\limits^a_c {b} \, dx[/tex]) / 10 rounded = 605
Elliot has a collection of 20 toy cars. Will he be able to put an equal number of toy cars on 3 shelves
He will not be able to put an equal number of toy cars on 3 shelves.
He can put only 18 toy cars in equal number of toy cars of 6 on 3 shelves.
What is division?Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.
According to the question
Elliot has a collection of 20 toy cars.
Put an equal number of toy cars on 3 shelves.
= [tex]\frac{20}{3}[/tex]
= 6.6
Thus, He can put only 18 toy cars in equal number of toy cars of 6 on 3 shelves.
He will not be able to put an equal number of toy cars on 3 shelves.
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Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled.
How many hours did it take the first plane to travel to the destination?
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.
Equation:
x =
h
The formula for distance is equal to:
d = v * t
where d is distance, v is velocity or speed, and t is time
Since the distance travelled by the two airplane is similar, therefore we can create the initial equation:
v1 * t1 = v2 * t2
We know that v1 = 496, and v2 = 558 so:
496 t1 = 558 t2
or
x = 558 t2 / 496
We also know that airplane 1 travelled 30 minutes (0.5 hours) earlier than airplane 2, therefore:
x = t2 + 0.5
Hence,
496 (t2 + 0.5) = 558 t2
496 t2 + 248 = 558 t2
t2 = 4 hours
x = t2 + 0.5 = 4 + 0.5
x = 4.5 hours
So the equation is:
x = 558 t2 / 496
And the first plane travelled:
x = 4.5 hours
HELP NEED QUICKLY ILL GIVE A BRAINLIEST!!!
Mrs. Mac puts money in her piggy bank every week. The function graphed can be used to model the total amount of money in her piggy bank x week after her birthday given Mrs. Mac’s birthday is at x = 0.
1.What is the x intercept and what does it represent?
2.What is the y-intercept and what does it represent?
3.What is the slope and what does it represent?
A) X intercept is -12, this represent the number of weeks before her birthday she started saving money
B) Y intercept = 3, this is the amount of money she has in her piggy bank before her birthday
C) slope = change in Y over the change in X = 1/4, this means she is saving 25 cents per week
c = 0.20m + 2.00 what is the charge for 1mile ride?
What is 4x+5(7x-3)=9(x-5)
A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.
|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.
Can Anyone Help Me
You need to sell 250 candy bars at $2 each. If you meet your goal, the total amount of money you will have is measured in the _____.
A. hundreds
B. tens
C. ones
D. thousands
how do you divide polynomials using long division
Final answer:
The process of dividing polynomials using long division involves dividing the leading terms, multiplying and subtracting to find the remainder, and repeating the process until completion. This method ensures proper management of exponents through subtraction while dividing coefficients.
Explanation:
Dividing Polynomials Using Long Division
To divide polynomials using long division, you should follow these steps:
Write the dividend (the polynomial to be divided) and the divisor (the polynomial by which to divide) in a long division format.Divide the leading term of the dividend by the leading term of the divisor to get the first term of the quotient. Multiply the divisor by this first term of the quotient and write the result beneath the dividend.Subtract this result from the dividend to get a remainder. Bring down the next term of the dividend if necessary.Repeat steps 2 to 4 until there are no more terms to bring down in the dividend.The result is the quotient, with a possible remainder. If there is a remainder, it can be written as the remainder over the divisor.Remember that when you divide the exponents in division of exponentials, you should subtract the exponents while dividing the coefficients normally.
By applying these steps, we achieve a quotient and remainder that satisfy the equation: Dividend = (Divisor × Quotient) + Remainder. This technique is especially useful for division of exponentials where you maintain equality by dividing both sides of an equation and properly manage exponents.
Can Anyone Help Me
A relation is a special type of function.
A. True
B. False
What is the return value of "select".substring(4, 4)?
The expression "select".substring(4, 4) will return an empty string, as the start and end indices are the same and no characters are included in the specified range.
Explanation:The substring method in many programming languages, including Java and JavaScript, is used to extract a portion of a string between two specified indices. In the expression "select".substring(4, 4), we are asking for the part of the string starting at index 4 and up to, but not including, index 4. Since the start and end indices are the same, the method will return an empty string.
It's important to note that string indices are zero-based, meaning that the first character of the string is at index 0. The string "select" has six characters, with indices ranging from 0 to 5. Therefore, calling substring with identical start and end indices will not include any characters in the resulting string.
Example:To retrieve the first character of "select", you would use "select".substring(0, 1).To retrieve "lec" from "select", you would use "select".substring(1, 4).What is the value of x?
Enter your answer in the box
13 is top 12 is bottem and the left is X
Find the probability that when a couple has two children, at least one of them is a boy. (Assume that boys and girls are equally likely.)
The probability that when a couple has two children, at least one of them is a boy is 0.75.
Based on the information given, the sample space will be (BB, BG, GB, GG)
where,
B = Boy
G = Girl
Therefore, based on the sample space given, at least a boy occurs in 3 places out of 4. This will be 3/4 = 0.75.
In conclusion, the correct option is 0.75.
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The probability of a couple having at least one boy when they have two children is 75%, as three out of four possible outcomes include at least one boy. These outcomes are two boys, a boy then a girl, and a girl then a boy.
Explanation:The subject of the question is probability which is a branch of mathematics. In order to find the probability that when a couple has two children, at least one of them is a boy, we need to analyze possible outcomes. The couple could have two boys (BB), a boy and a girl (BG), a girl and a boy (GB), or two girls (GG). Hence, the total unique outcomes are 4 (BB, BG, GB, GG).
Considering at least one boy, the possible outcomes could be BB, BG, GB, which are 3 possibilities. Finally, the probability is given as the ratio of favorable outcomes to the total number of outcomes. So the probability of having at least one boy is 3/4 or 75%.
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PLEASE HELP!!!!!!
What is the value of t?
t-12/2=3t/2 - 3
A)-3
B)-1
C)1
D)3
Answer:
D i aready took the test
Step-by-step explanation:
Which line is parallel to the line given below?
Y=_4/3x+1
A.3x+4y=8
B.3x-4y=-28
C.4x+3y=-15
D.4x-3y=9
What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?