In the given arithmetic sequence, the First term is -74, 2nd term is -81 3rd term is -88 and 4th term is -95.
What is arithmetic sequence?There are two ways to define an arithmetic sequence. It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term." The following is an arithmetic sequence where each term is obtained by adding 4 to the term before it.
We know that arithmetic sequence is:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
Given
a = -74, d = -7
[tex]a_{1} = -74 + (1 - 1)(-7)[/tex]
[tex]a_{1} = -74 + (0)(-7)[/tex]
[tex]a_{1} = -74[/tex] (First term)
[tex]a_{2} = -74 + (2 - 1)(-7)[/tex]
[tex]a_{2} = -74 + (1)(-7)[/tex]
[tex]a_{2} = -81[/tex] (2nd term)
[tex]a_{3} = -74 + (3- 1)(-7)[/tex]
[tex]a_{3} = -74 + (2)(-7)[/tex]
[tex]a_3 = -88[/tex] (3rd term)
[tex]a_{4} = -74 + (4- 1)(-7)[/tex]
[tex]a_{4} = -74 + (3)(-7)[/tex]
[tex]a_3 =-95[/tex] (4th term)
Thus, In the given arithmetic sequence, the First term is -74, 2nd term is -81 3rd term is -88 and 4th term is -95.
Learn more about arithmetic sequence
https://brainly.com/question/15412619
#SPJ1
Complete each congruency statement, and name the rule used.
If you cannot show the triangles are congruent from the given information, leave
the triangle's name blank and write CNBD for "CanNot Be Determined" in place
of the rule.
Answer: [tex]\triangle LAW \cong \triangle WKL[/tex] by ASA
Step-by-step explanation:
[tex]\angle AWL \cong \angle WLK[/tex] (right angles)[tex]\angle ALW \cong \angle LWK[/tex] (given)[tex]\overline{WL} \cong \overline{WL}[/tex] (reflexive)Therefore, [tex]\triangle LAW \cong \triangle WKL[/tex] by ASA.
(05.05 MC)
Using the two-way table, what percentage of the students that do not like to travel out of state like camping? Round to the nearest whole percent.
Likes Traveling Out of State Does Not Like Traveling Out of State Row totals
Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
a
32%
b
34%
c
38%
d
42%
AND
(05.05 LC)
Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
a
In Grade 8, 17 students liked swimming.
b
In Grade 9, 27% of students liked volleyball.
c
In Grade 9, 14 students liked running.
d
In Grade 9, 18% of students liked running.
The percentage of the students that do not like camping like travelling out of state is 33% and this can be determined by using the given data.
what is meant by camping?
The statement is most likely In Grade 9, 18% of students liked running is a correct answer.Based on the data, in grade9, 27 of student liked volleyball most likelyed.Using the two-way table, what percentage of the students that do not like to travel out of state like camping near whole percent is 42%.Camping is an outdoor activity that involves spending the night somewhere other than your house, either without shelter or with just a tent or other form of portable shelter.Usually, people travel from more urbanized regions to spend time outside in more rural ones in search of enjoyable or educational activities.Camping is distinguished from day trips, picnics, and other equally brief recreational activities by the night (or more) spent outside.To the complete questions is;
Likes Traveling Out of State Does Not Like Traveling Out of State Row totals Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
a)32% b)34% c)38% d)42%
To learn more about camping refer to
https://brainly.com/question/18152774
#SPJ1
the table below shows imformation about the distance walked by some hikers work out the minimum number of hikers who could have walked between 8 miles and 19 miles work out the maximum number of hikers who could have walked between 8 and 19 miles
PLEASE HELP!
The minimum number of hikers that could have walked between 8 miles and 19 miles is given as follows:
7.
The maximum number of hikers that could have walked between 8 miles and 19 miles is given as follows:
17.
How to obtain the amounts?The frequency table gives the number of observations on each interval.
Then the minimum number of hikers that could have walked between 8 miles and 19 miles is obtained when:
All the 4 observations in the interval 5 <= x < 10 are less than 8.All the 6 observations in the interval 15 <= x < 20 are more than 19.Hence the minimum amount is of 7.
The maximum number of hikers that could have walked between 8 miles and 19 miles is obtained when:
All the 4 observations in the interval 5 <= x < 10 are more than 8.All the 6 observations in the interval 15 <= x < 20 are less than 19.Hence the maximum amount is of 4 + 7 + 6 = 17.
More can be learned about frequency tables at https://brainly.com/question/16148316
#SPJ1
How do you simplify 9x?.
To simplify 9x, you need to use the distributive property.
The distributive property states that when you multiply a number by a group of numbers or variables, you can separate the group into individual components, multiply each component by the number, and then add the products together.
For example, 9x can be simplified as follows:
9x = 9x(1)
Using the distributive property, you can separate the 1 into individual components:
9x = 9x(1) = 9x(1 + 0)
Then, you multiply each component by the number:
9x = 9x(1) = 9x(1 + 0) = 9x(1) + 9x(0)
And finally, you add the products together:
9x = 9x(1) + 9x(0) = 9x + 0
Therefore, 9x can be simplified to 9x.
To know more about Simplification visit:
https://brainly.com/question/2804192
#SPJ4
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 8
2 2
3 5
4 9
5 7
6 3
Determine the probability that a student studied for exactly 1 hour. Round to the nearest hundredth.
The probability that a student studied for exactly 1 hour is 0.23 Or 23%. The correct option is A.
What is probability?
Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
A table is given where the first column represents the number of hours a student studied math and the second column represents the number of students.
The sum of the second column is 30. So it is the total number of students. And only 7 of them studied mathematics for 5 hours.
Therefore, The probability that a student studied for 5 hours is,
= 7/30.
= 0.23 or 23%.
Therefore, the correct option is A. 23.0.
To learn more about probability, refer to the link:
https://brainly.com/question/30034780
#SPJ1
The question is incomplete. Your most probably complete question is given below:
23.0
0.70
0.23
0.16
What is the definition of the sine ratio in a right triangle?.
The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.
If you know at least one side of the triangle and one of the acute angles, you can use this function to calculate the length of the side.The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine. If you know at least one side of the triangle and one of the acute angles, you can use this function to calculate the length of the side. In a nutshell, the sine, cosine, and tangent ratios are the three basic trig ratios.To learn more about the sine triangle here
https://brainly.com/question/2920412
#SPJ4
If 11/5x5^x-5^x-1=50,then find the value of x
Answer:
1.77865216
Step-by-step explanation:
An isosceles triangle has base angles that each measure x degrees. The measure of the third angle is 72 degrees. Write an equation that can be used to determine x, the measure of each base angle of the isosceles triangle.
Answer:
lol i don't know this
Step-by-step explanation:
lol= laugh out loud
Re-write the quadratic function below in Standard Form
y= 4(x-7)(x-1)
Standard form of the quadratic function is,
⇒ y = 4x² - 32x + 28
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The quadratic equation is,
⇒ y = 4 (x - 7) (x - 1)
Now, We can simplify the equation in standard from as;
⇒ y = 4 (x - 7) (x - 1)
⇒ y = 4 (x² - x - 7x + 7)
⇒ y = 4 (x² - 8x + 7)
⇒ y = 4x² - 32x + 28
Thus, The standard form is,
⇒ y = 4x² - 32x + 28
Learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ1
Please help! Each pair of polygons us similar. Find each missing side measure
Answer:
x = 3
Step-by-step explanation:
18/2 = 27/x
9/1 = 27/x
9x = 27 × 1
x = 3
Answer:
x = 3 because 18 divided by 2 equals nine, also meaning that 2 x 9 = 18. Now since we figured out that 9 is how many times more/less the number is between the polygons. (I'm so sorry if I can't explain clearly) Now we just get 27 and divide it by 9 which leaves us with our answer 3.
What is the nature of roots of the quadratic equation 5x² 2x 3 0?.
The roots are hypothetical, meaning that they have two false roots. As a result, a quadratic equation has real, unequal, and irrational roots.
What is the roots equation's nature?The quadratic equation with roots ax2 + bx + c = 0 has real and unequal roots when a, b, and c are real numbers, a 0, and the discriminant is positive.
5x 2 2x+3=0 a=5, b=2, c=3, D=b 2 4ac D=56 0
What kind of roots are they?The equation's nature of roots indicates whether it contains rational, irrational, or fictitious roots. Imaginary roots and unreal roots are synonyms.
What makes a quadratic equation what it is?A degree two equation of the form ax2+bx+c = 0—where an is not equal to 0—is a quadratic equation. The quadratic equation's roots are the value of x in this equation. The only roots of a quadratic equation are two. These roots can have both real and made-up characteristics.
To learn more about quadratic equation here:
https://brainly.com/question/30098550
#SPJ4
Full Question = Write the nature of roots of the quadratic equation 5x2 - 2x + 3 = 0.
PLS HELP ASAP - algebra 2
India is studying microbiology and is doing an experiment with bacteria. She notices that one of her colonies is dying at a rate of 5% per day. if the original number of colonies was 2757, answer the following:
a. write the equation to model the data that India is witnessing
b. sketch a graph of your equation from part a.
An equation to model the data that India is witnessing is f(x) = 2757(0.95)^x.
A graph of this exponential equation is shown in the image attached below.
What is an exponential function?In Mathematics, an exponential function can be modeled by using this mathematical expression:
f(x) = ab^x
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Since her colonies is dying at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:
Rate of change (decay rate) = 100 - 5 = 95% = 0.95.
Substituting the parameters into the exponential equation, we have the following;
f(x) = 2757(0.95)^x
Read more on exponential equation here: brainly.com/question/28939171
#SPJ1
12 times 12=144
I think
Answer:yes
Step-by-step explanation:
Answer:
correct
Step-by-step explanation:
What is the area of triangle with base 4. 8 cm and hight 3. 6 cm?.
The area of a triangle with a base of 4.8 cm and height of 3.6 cm is 8.64 cm².
Area of triangle = ½ × base × height
= ½ × 4.8 × 3.6
= 8.64 cm²
A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.
In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.
To learn more about Triangle visit here:
brainly.com/question/2773823
#SPJ4
Cahew and peanut are combined to make a nut mixture. At leat 1/4 of the mixture, by weight, i cahew, and the total weight of the mixture cannot exceed 48 ounce. Which ytem of inequalitie model thi ituation
The weight of the cashews plus the weight of the peanuts cannot be more than 192 ounces and the weight of the cashews must be at least one-fourth of the total weight of the mixture.
Step 1: Let c = weight of cashews
Step 2: Let p = weight of peanuts
Step 3: 0.25c + p ≤ 48
Step 4: Multiply both sides by 4
Step 5: 4(0.25c + p) ≤ 4(48)
Step 6: c + p ≤ 192
This system of inequalities models the situation of combining cashews and peanuts to make a nut mixture. The first inequality states that the weight of the cashews plus the weight of the peanuts cannot exceed 48 ounces, and the second inequality states that the weight of the cashews must be at least one-fourth of the total weight of the mixture. To model this situation, we let c equal the weight of the cashews and p equal the weight of the peanuts. We then multiplied both sides of the first inequality by four to get the second inequality, which states that the weight of the cashews plus the weight of the peanuts cannot exceed 192 ounces. This system of inequalities accurately models the situation of combining cashews and peanuts to make a nut mixture, and it ensures that the weight of the cashews is at least one-fourth of the total weight of the mixture.
Learn more about weight here
https://brainly.com/question/28355526
#SPJ4
What is the formula of median for class 7?.
The formula of median is Med(x) = X [n=1/2].
The median of the data is the value of the middle observation found after sorting the data in ascending order. In many cases, it is challenging to consider the entire data set as a representation; in these cases, median is helpful. The median is a simple metric to calculate among statistical summary metrics. Since the data that is in the center of a sequence is used as the median, the median is also known as the Place Average.
Median Formula When n is Odd
Median = [(n + 1)/2] th term
Median Formula When n is Even
Median = [(n/2) th term + ((n/2) + 1) th term]/2
Learn more about Median;
https://brainly.com/question/26177250
#SPJ4
What is 1 4 of a circle in degrees?.
1 in 4 angle of slope in degree is 90°.
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located.
The inverse tangent function is called arctangent, often known as arctan or tan-1. Tangent only has a limited domain for its inverse function.
So to find the 1 in 3 angle we have to put the value 1/3 in arctan function
which is tan inverse function.
Learn more about Angle:
brainly.com/question/30239691
#SPJ4
Consider the rectangle with a width of 6 cm and a length of 9 cm. Write a ratio of the length to the width and simplify.
Answer:
Step-by-step explanation:
ttt
For what value of k does the system of equations kx 2y 5 and 3x 4y 10 have no solution?.
Hence value of k does the system of equations k x +2y= 5 and 3x - 4y =10 have no solution[tex]\frac{-3}{2}[/tex]
The given system of equations:
k x + 2y = 5
⇒ k x + 2y - 5 = 0 ….( i)
3x - 4y = 10
⇒3x - 4y - 10 = 0 …(ii)
These equations are of the forms:
a1x + b1y + c1 = 0
a2x + b2y + c2 =0
where, a1 = k
b1 = 2
c1 = -5
a2= 3
b2 =-4
c2 = -10
[tex]\frac{a1}{a2} \neq \frac{b1}{b2}[/tex]
[tex]\frac{k}{3} \neq \frac{2}{-4}[/tex]
[tex]k\neq \frac{-3}{2}[/tex]
Thus for all real values of k other than −3/2 ,
the given system of equations will have a unique solution.
(ii) For the given system of equations to have no solutions, we must have:
[tex]\frac{a1}{a2} = \frac{b1}{b2}\neq \frac{c1}{c2} \\\\ \frac{k}{3} = \frac{2}{-4}\neq \frac{-5}{-10} \\ \\ \frac{k}{3} = \frac{2}{-4}\\ \\ \frac{k}{3} \neq \frac{1}{2} \\ \\ \\k \neq \frac{3}{2} \\\\k =\frac{-3}{2} \\[/tex]
Hence value of k does the system of equations k x +2y= 5 and 3x - 4y =10 have no solution[tex]\frac{-3}{2}[/tex]
To know more about Linear Equations In Two Variables
visit brainly.com/question/24085666
#SPJ4
Simplify the following polynomial expression.
(5x^4 - 9x^3 + 7x -1) + (-8^4 - 3x + 2) - (-4x^3 + 5x - 1) (2x - 7)
Answer:
[tex]\boxed{\mathrm{Option \;D: 5x^4-37x^3-6x^2+41x-6}}[/tex]
Step-by-step explanation:
You can solve such multiple choice questions using a trick. This especially is useful in a time constrained question
Consider only the coefficients of the terms relating to x⁴ and the constant
If you expand (-4x³ + 5x - 1)(2x - 7) this will work out to
(--4x³) (2x) +..... + (-1)(-7)
This will result in (- 8x⁴ +..... + 7)
Since there is a negative sign before this last term, expanding will change the signs of the terms
-(-8x⁴ + ..... + 7) = 8x⁴ -7
Add the coefficients of the x⁴ terms to get
(5 - 8 + 8)x⁴ = 5x⁴
Add the constants of the individual terms
--1 + 2 - 7 which is -6
So the simplified polynomial is of the form
5x⁴ +....... - 6
Only option D fits these values, so the correct choice is Option D:
[tex]\mathrm{5x^4-37x^3-6x^2+41x-6}[/tex]
ANSWER
--------------------------------------------------------------------------------------------------
If you want to do it the hard way,
First evaluate the last product using FOIL:
[tex]\left(-4x^3+5x-1\right)\left(2x-7\right)\\\\= \left(-4x^3\cdot \:2x-4x^3\left(-7\right)+5x\cdot \:2x+5x\left(-7\right)-1\cdot \:2x-1\cdot \left(-7\right)\right)\\\\= \left(-8x^4+28x^3+10x^2-37x+7\right)\\\\[/tex]
With the negative sign in front of this expression this becomes:
[tex]-\left(-8x^4+28x^3+10x^2-37x+7\right)\\\\= 8x^4-28x^3-10x^2+37x-7\\\\[/tex]
From the original polynomial expression, group like terms:
[tex]\left(5x^4-9x^3+7x-1\right)+\left(-8x^4+4x^2-3x+2\right)-\left(-4x^3+5x\:-1\right)\left(2x-7\right)\\\\[/tex]
[tex]=\left(5x^4-9x^3+7x-1\right)+\left(-8x^4+4x^2-3x+2\right) + (8x^4-28x^3-10x^2+37x-7)\\\\[/tex]
How do you know if its inverse?.
The process to identify if the function is inverse is identified through the horizontal line test.
Function in math is known as a correspondence from one value x of the first set A to another value y of the second set B.
Here we need to identify the way to know that whether the given unction is inverse function or not.
By using the horizontal line test that is If any horizontal line intersects the graph of f more than once then the function f does not have an inverse.
Where as If no horizontal line intersects the graph of f more than once, then the function f does have an inverse.
Here we have also have the property of having an inverse is very important in mathematics, and it has a name.
To know more about function here.
https://brainly.com/question/28193995
#SPJ4
On parallelogram ABCD below, if A(1, 1), B(8, 5), C(5,-5) and D(-2,-9), what are the coordinates of point E?
The coordinates of point E on the parallelogram are given as follows:
(3, -2).
How to obtain the coordinates of point E?The coordinates of point E are obtained considering that the point E is the midpoint of segment AC, hence it's coordinates are the mean of the coordinates of A and C.
Then the x-coordinate of point E is obtained as follows:
x = (1 + 5)/2 = 3.
The y-coordinate of point E is obtained as follows:
y = (1 - 5)/2 = -4.
More can be learned about the midpoint of a segment at https://brainly.com/question/24682140
#SPJ1
There are 5280 feet in a mile and about 3.28 feet in a meter. Given that sound travels about 343 meters per second what’s is the distance in miles from alyssa to the lighting bolt
Answer: We know that sound travels about 343 meters per second. To convert the distance in meters to miles, we need to use the conversion factor that there are 3.28 feet in a meter and 5280 feet in a mile.
1 mile = 5280 feet = 5280/3.28 meters = 1600 meters
Therefore, the distance in miles from Alyssa to the lightning bolt can be calculated by dividing the distance in meters by the number of meters per mile:
distance in miles = distance in meters/1600
So, the distance in miles from Alyssa to the lightning bolt is 343 meters/1600 miles = 0.215 miles (approx)
Note that this calculation is based on the assumption that sound travels 343 meters per second and it's an approximation.
Step-by-step explanation:
The ratio to the total number of tudent in cla i 4 to 7. How many tudent are girl if the cla ha 21 tudent in all
There are total of 12 girls in the class.
what is ratio?A mathematical comparison of two or more values or quantities is called a ratio. It can be used to compare the relative sizes or amounts of various items since it expresses the relationship between the values in terms of a proportion or a fraction.
Let the number of girls in the class be x and the number of boys in the class be y
so total number of students in the class is x+y
ration of number of girls to the total number of students is x/(x+y)
given that total number of student is x+y which is 21
so x/21 = 4/7
=> x= (21*4)/7
=> x= 3*4
=> x=12
so the total number of girls in the class is 12.
To know more about ratio click below:
https://brainly.com/question/13419413#
#SPJ4
Complete question:
The ratio of girls to the total number of students in class is 4 to 7. How many students are girls if class has 21 students in all?
Nelly works at an hourly rate of $11. 28 per hour and worked 45 hours last week. She earns overtime for hours exceeding 40 hours. She is paid overtime at a rate of time and a half. What was her gross pay last week?.
Nelly's gross pay is $451.20 + $84.60 = $535.80.
Gross pay refers to the total amount of money an employee earns before any deductions or taxes are taken out. It is the total amount of money earned by an employee for the hours worked, including any overtime or bonuses.
First, we calculate her regular pay.
She worked 45 hours last week, and her regular hourly rate is $11.28 per hour. Therefore, her regular pay for the week is 40*$11.28 = $451.20. This is the pay she receives for the hours she worked up to 40 hours, which is considered the standard workweek.
Next, we calculate her overtime pay. Nelly worked 45 hours last week, and she is entitled to overtime pay for hours exceeding 40 hours. Therefore, she worked 45-40 = 5 hours of overtime.
Since she is paid time and a half for overtime, her overtime pay is calculated by multiplying her regular hourly rate by 1.5. Therefore, her overtime pay is 5*$11.28*1.5 = $84.60.
Finally, we add her regular pay and her overtime pay to get her gross pay. Her gross pay is the total amount she earns for the week, including both her regular pay and her overtime pay.
Therefore, her gross pay is $451.20 + $84.60 = $535.80.
To know more about gross pay refer to:
brainly.com/question/13143081
#SPJ4
A bag contains 6 red marbles, 5 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be blue?
The exact probability that would make the three marbles to be blue is 6/273,
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability that exactly three marbles drawn would be blue = (number of blue marbles / total number of marbles) x [(number of blue marbles / total number of marbles) - 1] x [((number of blue marbles / total number of marbles) - 1]
Total number of marbles = 6 + 5 + 4 = 15
= (5/15) x (4/14) x (3/13) = 6/273
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
helphelp plsssssssss
-8 hshdjdbdkdndidjdndjdodjfodjdjd
Step-by-step explanation:
2*(-2)-4=
-4-4=
-8
help me with my ALEKS topics pls, i have 5 left and i need to finish them quick
Answer:
V ≈ 13036 ft³
Step-by-step explanation:
the volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
here diameter = 19, then r = 19 ÷ 2 = 9.5 and h = 46 , then
V = 3.14 × 9.5² × 46
= 3.14 × 90.25 × 46
≈ 13036 ft³ ( to the nearest whole number )
Use point-slope form to write the equation of a line that passes through the point (-14,6) with slope -7/4
By using the point-slope form, the equation of a line that passes through the point (-14, 6) with slope -7/4 is equal to y = -7x/4 + 30.5.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.From the information provided above, we have the following slope and data points on the line:
Points = (-14, 6).Slope, m = -7/4At data point (-14, 6), a linear equation of this line can be calculated in point-slope form as follows:
y - y₁ = m(x - x₁)
y - 6 = -7/4(x - (-14))
y - 6 = -7/4(x + 14)
y = -7x/4 + 24.5 + 6
y = -7x/4 + 30.5
Read more on slope here: brainly.com/question/3493733
#SPJ1
please help with this coordinates question
Answer:
Coordinates of C are (22, 20)
Step-by-step explanation:
We can see the squares are identical
The x-distance between A and B is 38 - 6 = 32
This covers 4 squares so each square side length = 32/4 = 8
Since point C is two squares away, the x-coordinate of C is 8 x 2 = 16 units away from the A x coordinate
x-coordinate of C = x-coordinate of A + 16 = 6 + 16 = 22
So x-coordinate of C is 22
To find the y-coordinate of C, because it is a square each vertical side of the square is also 8 units
If the third square were aligned with the top right of the second square, the y-coordinate of that square should be :
y-coordinate of A + 2 x 8 = 7 + 16 = 23
In this case, the y-coordinate of B should have been 23 + 2 x 8 = 23 + 16 = 39
However, because of the downward shift of the third square, the y-coordinate of B is only 36
39-36 = 3
So the third square has been shifted down by 3
Therefore y coordinate of C = 23 - 3 = 20
Coordinates of point C: (22, 20) which will result in the figure shown.
Just to verify
Since point B is 16 units to the right of C, its x-coordinate = 22 + 16 = 38
Point B
Point B y-coordinate is 16 units vertically up from y-coordinate of C.
So y-coordinate of B = 20 + 16 = 36
Hence verified
I hope that makes sense.
The attached figure shows exactly the figure in the question but with the coordinates marked. You can independently verify this
