Answers
This is a concept I always found very confusing when first learning quadratics, so don’t worry about the struggle.
To explain the reasoning, we should look at the clues we’re given by the table. Since we know we’re looking at a quadratic function, we know that we’re going to have a point that either serves as a min or a max, where the values will go from increasing to decreasing or vise versa. I’m this example, we see the values go from 6, to 3, to 2 (decreasing) and then to 3, and 6 and so on (increasing). This means our minimum is located at h(x) = 2, x = -1 for this function.
Because our minimum is on at x = 0, which is where it would be normally, we can assume there is a value affecting the expression being squared. To find the value, we need to set x to our current minimum, which is -1(x = -1). In order to figure out how our value is being affected, we want to set the left side with our x to equal zero. To do this we would add 1 to both sides (x + 1) = (-1 + 1) which would give us (x + 1) = 0. We now know the value that is being squared in the function, (x + 1)^2.
To find the value added outside of the squared expression, we simply look at h(x) at our minimum location. In this case h(-1) = 2. Normally a quadratic function will have its minimum value be 0, so the outside of the squared expression is being added by 2, giving us (x + 1)^2 + 2.
I’m sorry if this isn’t explained very well. I was trying to write it in a way I thought would be easier to understand, but I’m not sure if it will come across that way. If you need further explanation, please let me know.
Related Questions
Factorize a2 - b2
[tex]a {?}^{2} - b {?}^{2} \\ \\ [/tex]
Answers
The factorization of the given expression, a² - b², is (a + b)(a - b)
Factorizing an expressionFrom the question, we are to factorize the given expression.
From the given information, the given expression is
a² - b²
This is a special case in the factorization of polynomials. This is called difference of two squares.
Given the expression
x² - y²
The above expression can be written in the factorized form as
(x + y)(x - y)
Check:
Check by expanding the above factored form
(x + y)(x - y)
Applying the distributive property
x(x - y) + y(x - y)
x² - xy + xy - y²
Simplify further
x² - y²
Thus,
x² - y² = (x + y)(x - y)
In the same manner,
a² - b² = (a + b)(a - b)
Hence, the factorization of a² - b² is (a + b)(a - b)
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A 2-pint bottle of salad dressing costs $13.76. What is the price per cup?
Submit
Answers
The price per cup of salad dressing in a 2-pint bottle that costs $13.76 is $0.86.
To calculate the price per cup of salad dressing, we need to know that there are 2 cups in a pint. Therefore, there are 4 cups in a 2-pint bottle of salad dressing.
To find the price per cup, we divide the total cost of the bottle by the number of cups in the bottle.
$13.76 ÷ 4 cups = $3.44 per cup
Therefore, the price per cup of salad dressing is $0.86, which is obtained by dividing $3.44 by 4.
It is important to know the price per unit, whether it is per ounce, per pound, per liter, or per cup, to be able to compare the cost of different products accurately.
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A restaurant put out small dishes of butter at each table.
They divided 1/6 of a pound of butter evenly between
5 dishes.
Answers
Answer:
Step-by-step explanation:
Hello!
1. Start by Plugging your numbers in. now all you have to do is 5 divided by 6! Use a calculator but anything works.
The radius of circle O is 22, and OC = 15. The diagram is not drawn to scale. What is the length of segment AB? Round the answer to the nearest tenth.
16.1
32.2
26.7
53.3
Answers
The length of the segment AB according to the given equation as required to be determined is; 32.2.
What is the length measure of the segment AB?As evident from the task content; the length measure of segment AB is required to be determined.
The assumption is such that point C is the midpoint of AB.
Therefore, on this note, the triangle OBC is a right triangle and the since radius OB = 22 and OC = 15;
CB² = 22² - 15²
CB² = 484 - 225
CB² = 259
CB = 16.1
Therefore, since C is the midpoint of AB; AB = 2 × 16.1 = 32.2.
Ultimately, the length of segment AB is; 32.2.
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The slope of the line tangent to the graph of y = \ln \left( {1 - x} \right) at x=-1 is
(A) -1
(B) - \frac{1}{2}
(C) \frac{1}{2}
(D) \ln \left( 2 \right)
(E) 1
Answers
To find the slope of the line tangent to the graph of y = ln(1 - x) at x = -1, we can use the derivative of the function.
The derivative of y with respect to x can be found using the chain rule:
dy/dx = d/dx[ln(1 - x)] = 1 / (1 - x) * (-1) = -1 / (1 - x)
Substituting x = -1 into the derivative, we have:
dy/dx = -1 / (1 - (-1)) = -1 / 2
Therefore, the slope of the line tangent to the graph at x = -1 is -1/2.
The correct answer is (B) -1/2.
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a simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. what is the 99% confidence interval (z-score
Answers
The 99% confidence interval for the population mean time spent on the internet, in minutes, is given as follows:
(48.9, 59.5).
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The variables of the equation are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 50 - 1 = 49 df, is t = 2.68.
The parameter values are given as follows:
[tex]\overline{x} = 54.2, s = 14, n = 50[/tex]
Then the lower bound of the interval is given as follows:
[tex]54.2 - 2.68\frac{14}{\sqrt{50}} = 48.9[/tex]
The upper bound of the interval is given as follows:
[tex]54.2 + 2.68\frac{14}{\sqrt{50}} = 59.5[/tex]
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a rectangular lot is 135 yards long and 100 yards wide, give the length and width of another rectangular lot that has the same perimeter but a larger area.
Answers
After heating up in a teapot, a cup of hot water is poured at a temperature of
20
3
∘
203
∘
F. The cup sits to cool in a room at a temperature of
6
9
∘
69
∘
F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
�
=
�
�
+
(
�
0
−
�
�
)
�
−
�
�
T=T
a
+(T
0
−T
a
)e
−kt
�
�
=
T
a
= the temperature surrounding the object
�
0
=
T
0
= the initial temperature of the object
�
=
t= the time in minutes
�
=
T= the temperature of the object after
�
t minutes
�
=
k= decay constant
The cup of water reaches the temperature of
18
5
∘
185
∘
F after 1.5 minutes. Using this information, find the value of
�
k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4.5 minutes.
Enter only the final temperature into the input box.
Answers
The cup of water reaches a temperature of 173 F after 4.5 minutes.
What is temperature?Temperature is a measure of the average kinetic energy of particles in a system. It is an important physical quantity used to describe the state of a system and is widely used in science, engineering, and everyday life. Temperature is a thermodynamic property of a system that shows how much energy is available to do work. In everyday terms, temperature is a measure of how hot or cold something is.
k = -0.2416
The equation for the cooling rate of the cup of water is:
T(t) = 203- 0.2416t
After 4.5 minutes, the temperature of the cup of water can be found by substituting t = 4.5 into the equation:
T(5) = 203- 0.2416(4.5 ) = 173.08 F
Therefore, the cup of water reaches a temperature of 173 F after 4.5 minutes.
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Will make brainiest if two people answer ૮ ˶ᵔ ᵕ ᵔ˶ ა
Answers
The length of side LJ as shown in the similar shapes is 12.92.
What is similar shapes?Similar shapes are enlargements of each other using a scale factor.
To calculate the length of side LJ, we use the formula below
Formula:
XZ/XY = KJ/KL....................... Equation 1From the diagram,
Given:
/XZ/ = 8.2/XY/ = 8.7/KJ/ = 12.18Substitute these values into equation 1 and solve for KL
8.2/8.7 = 12.18/KLKL = 8.7×12.18/8.2KL = 12.92Hence, the right option is 12.92.
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Can someone tell me the original and perpendicular slope of this question
Answers
The slope of the original line of the graph sis found to be 1 and the slope of perpendicular line is -1.
One of the line shown in the graph is passing through the points (0, -7) and (7, 0). Now we have to recall that the slope M of the line L passing from points (a, b) and (c, d) is given as,
M = (d-b)/(c-a)
Also, if the line L is perpendicular to line l, then the slope m of the line l will be given as,
m = -1/M.
So, now the slope of line L is,
M = (0-(-7))/(7-0)
M = 7/7
M = 1
Now, the slope of the perpendicular line l is,
m = -1/1
m = -1.
Hence, the slope of the perpendicular line and original lines are -1 and 1.
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An athlete throws a shot put with an initial vertical velocity of 40 feet per second. He releases the shot put at a height of 5.69 feet.
Use an equation that models the height h (in feet) of the shot put as a function of the time t (in seconds) after it is thrown to find the time that the shot put is in the air.
Round your answers to the nearest whole numbers.
Answers
The shot put is in the air for approximately 3 seconds.
The height h (in feet) of the shot put as a function of the time t (in seconds) after it is thrown can be modeled by the equation:
h(t) = h + vt - (1/2)gt²
where v is the initial vertical velocity in feet per second, and s is the initial height in feet.
Here, the initial vertical velocity is 40 feet per second, and the initial height is 5.69 feet. Therefore, we can plug in these values to get:
h = -16t² + 40t + 5.69
To find the time that the shot put is in the air, we need to find the value of t when h = 0, since the shot put will hit the ground when its height is 0.
Therefore, we can set the equation equal to 0 and solve for t:
0 = -16t² + 40t + 5.69
Using the quadratic formula, we get:
t = (-b ± √(b² - 4ac)) / 2a
where a = -16, b = 40, and c = 5.69.
Plugging in these values, we get:
t = (-40 ± √(40² - 4(-16)(5.69))) / 2(-16)
Simplifying, we get:
t ≈ 3 or t ≈ 0.2
Since the shot put cannot be in the air for negative time, the only possible answer is t ≈ 3.
Therefore, the shot put is in the air for approximately 3 seconds.
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Can someone help me solve question number 14? I've tried to solve it and got 3426 while the answers in the book say it's 2,6. Can someone pls explain why it's wrong?
Answers
Answer:
f(x) = x^3 - 12x^2 + 6x - 8
f'(x) = 3x^2 - 24x + 6 = -30
3x^2 - 24x + 36 = 0
x^2 - 8x + 12 = 0
(x - 2)(x - 6) = 0, so x = 2, 6
Answer:
the values of x are :
x = 2
x = 6
A store sells packages of 3 pens for $1.50, 8 pens for $4.00, and 12 pens for $6.00. Let c represent the total cost and p represent the number of pens. Write an
equation to represent this situation.
Answers
The equation for the total cost and p represent the number of pens is c = 3p + 8p + 12p
Which equation represents the situation?3 pens for $1.50
8 pens for $4.00
12 pens for $6.00
Where,
c represent the total cost
p represent the number of pens
Total cost, c = 1.50 + 4.00 + 6.00
= $11.50
Number of pens, p = 3 + 8 + 12
= 23
c = 3p + 8p + 12p
$11.50 = 23p
Hence, c = 3p + 8p + 12p is the equation that represents the situation.
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emily paints at a constant rate. she can paint square feet in minutes. what is emily's constant rate in square feet per minute?
Answers
Emily's constant rate in square feet per minute is 10. This means that she can paint 10 square feet in one minute.
To determine Emily's constant rate in square feet per minute, we need to use the given information that she can paint a certain number of square feet in a certain number of minutes. Let's say that Emily can paint x square feet in y minutes.
To find her rate, we need to divide the number of square feet painted by the number of minutes it took to paint them. So Emily's constant rate would be:
x / y = rate (in square feet per minute)
For example, if Emily can paint 200 square feet in 20 minutes, her rate would be:
200 / 20 = 10
Therefore, Emily's constant rate in square feet per minute is 10. This means that she can paint 10 square feet in one minute.
In conclusion, to determine Emily's constant rate in square feet per minute, we need to divide the number of square feet painted by the number of minutes it took to paint them. The result is the rate in square feet per minute.
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What is the range of f(x) = 3x + 9?
{y | y < 9}
{y | y > 9}
{y | y > 3}
{y | y < 3}
Answers
The range of the given function is {y|y>9}. Therefore, option B is the correct answer.
The given function is f(x)=3x+9.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
Substitute x=0, 1, 2, 3, 4,....in y=3x+9, We get
When x=0
y=9
When x=1
y=12
When x=2
y=15
When x=3
y=18
So, the range is {9, 12, 15, 18,.....}
Therefore, option B is the correct answer.
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a bag contains 6 red marbles, 4 blue marbles, 8 yellow marbles, 10 green marbles, & 2 white marbles. find the probability of drawing a blue marble (please help right now)
Answers
The probability of selecting a blue marble is 2/15
What is the probability of drawing a blue marbleA probability event can be defined as a set of outcomes of an experiment. In other words, an event in probability is the subset of the respective sample space.
In this problem, to find the probability of drawing a blue marble, let's work with the sample space.
Probability of blue marble = number of blue marbles / total number of marbles
Total number of marbles = 6 + 4 + 8 + 10 + 2 = 30
Probability of blue marble = 4 / 30
probability of blue marble = 2/15 = 0.133
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Which composite figure is made up of a cylinder and a half sphere?
Answers
Solve 2x(3x+5)+3(3x+5)=ax 2 +bx+c
Answers
Answer:
6x² + 19x + 15
Step-by-step explanation:
2x(3x+5)+3(3x+5)
= (3x + 5) (2x + 3)
= 6x² + 9x + 10x + 15
= 6x² + 19x + 15
So, the answer is 6x² + 19x + 15
We can start by simplifying the left side of the equation using the distributive property:
2x(3x+5)+3(3x+5) = (2x)(3x) + (2x)(5) + (3)(3x) + (3)(5)
= 6x^2 + 10x + 9x + 15
= 6x^2 + 19x + 15
Now we can compare this expression with the right side of the equation, which is a polynomial in x with unknown coefficients a, b, and c:
ax^2 + bx + c
Since the two sides are equal, their corresponding coefficients must be equal as well. This gives us a system of three equations in three unknowns:
a = 6 (the coefficient of x^2)
b = 19 (the coefficient of x)
c = 15 (the constant term)
Therefore, the solution to the equation 2x(3x+5)+3(3x+5)=ax^2+bx+c is:
2x(3x+5)+3(3x+5) = 6x^2 + 19x + 15
15 Points PLEASE HELP ME OUT.
Algebra 1 honors
Answers
Answer: A C(t) = -(x-5)^2
Step-by-step explanation:
Answer:
C(t) = -x^2 + 5
Step-by-step explanation:
Notice how C(t) = 5 when t = 0. This means that (0, 5) is a point on C(t) and is the y-intercept, thus making the constant term (term without variable in standard form) 5. Next, notice how C(t) decreases as t increases and decreases. This means that C(t) is reflected over the x-axis such that it looks like an upside-down U shape. Thus, a negative must be applied to the term of the highest degree.
You deposit $400 in an account that pays 2.34% annual
compounded monthly. What is the balance after
interest
10 years?
A=
Answers
The balance after 10 years, considering monthly compounding, would be approximately $512.69.
To calculate the balance after 10 years, we can use the formula for compound interest:
A = [tex]P(1 + r/n)^{(nt)[/tex]
A is the final balance
P is the principal amount (initial deposit)
r is the annual interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the number of years
In this case, the principal amount (P) is $400, the annual interest rate (r) is 2.34% or 0.0234, the interest is compounded monthly (n = 12), and the number of years (t) is 10.
Using these values, we can calculate the final balance (A):
A = $400(1 + 0.0234/12)⁽¹²ˣ¹⁰⁾
A = $400(1.00195)¹²⁰
A ≈ $400(1.28172)
A ≈ $512.69
We may use the compound interest calculation to determine the balance after 10 years:
A = [tex]P(1 + r/n)^{(nt)[/tex]
The ultimate balance is A.
P stands for the initial deposit's principal.
The yearly interest rate is represented by the decimal r, while the number of times it is compounded annually is represented by n.
The number of years is t.
In the above scenario, the principle (P) is $400, the annual interest rate (r) is 2.34%, or 0.0234, the interest is compounded on a monthly basis (n = 12), and the time (t) is 10.
These numbers allow us to determine the final balance (A):
A = $400(1 + 0.0234/12)⁽¹²ˣ¹⁰⁾
A = $400(1.00195)¹²⁰
A ≈ $400(1.28172)
A ≈ $512.69
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the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? the answer should be typed as a decimal with 4 decimal places.
Answers
This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
Using the normal distribution formula, we can calculate the z-scores for 200 and 400 shoppers:
z(200) = (200 - 505) / 115 = -2.65
z(400) = (400 - 505) / 115 = -0.91
Next, we can use a standard normal distribution table or calculator to find the area between these two z-scores. The probability is:
P(-2.65 < z < -0.91) = 0.1678
Therefore, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
To calculate the probability that there are between 200 and 400 shoppers at the grocery store, we first need to determine the z-scores for those values. We can then use a standard normal distribution table or calculator to find the area between those two z-scores. The result is the probability of interest. In this case, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
The probability that there are between 200 and 400 shoppers at the grocery store is 0.1678. This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
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The number of times 100 groups took a
selfie is as follows.
Takes
1 2 3
4
Frequency 27 29 18 14
5
12
Find the probability a group will take their
selfie exactly 3 times.
P(3) = [?]
Answers
The probability a group will take their selfie exactly 3 times is 0.18.
We have,
The total groups = 100
The number of groups that took selfies 3 times = 18
Now,
The probability a group will take their selfie exactly 3 times.
= 18/100
= 0.18
Thus,
The probability a group will take their selfie exactly 3 times is 0.18.
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The graph of function fis shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.
g(x)=f(x + 2)
Drawing Tools
Select
Line
Click on a tool to begin drawing.
-6
-2
Delete
Undo
8
Reset
Answers
A graph representing the function g(x) = -1/2f(x + 2) is shown in the image below.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 - 0)/(5 - 3)
Slope (m) = 4/2
Slope (m) = 2.
At data point (3, 0) and a slope of 2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 0 = 2(x - 3)
y = f(x) = 2x - 6
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Please helppp. What’s the area and circumference??!
Answers
The value of EF is 26
What is segment of a circle?A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord's endpoints.There is minor segment and major segment.
Since the two arcs are equal, i.e arc EF = arc CD, therefore,
chord EF = chord CD
9x-1 = 41 - 5x
collecting like terms
9x +5x = 41+1
14x = 42
divide both sides by 14
x = 42/14
x = 3
Therefore EF = 41-5x
= 41-5×3
= 41-15
= 26
therefore the value of EF is 26
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In the diagram, ⨀R≅ ⨀S . Find m DE⌢ .
Answers
Answer:
60°
Step-by-step explanation:
ST = SW, since both are radii of the circle.
SW = WT, given.
STW is an equilateral triangle.
RED is an equilateral triangle.
Therefore, the measure of DE is 60°.
A fair six sided die is thrown.find the possibility Of getting the following a)a3 b)a4 c) a9 d) a1 or a2
Answers
Answer:
a) 1/6. b) 1/6. c) 0. d) 1/3.
Step-by-step explanation:
it's a fair die, so probability of getting any of the 6 numbers is equal.
that is, they all have probability 1/6.
a) p(3) = 1/6
b) p(4) = 1/6
c) p(9) = 0. die only goes up to 6.
d) p(1) = 1/6. p(2) = 1/6
p(1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
The quadratic equation h=-16t^2+32t+2
represents the height, h (in feet), of a ball kicked after t seconds. Answer each question. Express each answer as a decimal rounded to the nearest hundredth.
How long will it take the ball to reach 18 feet?
When will the object be at 10 feet?
When will the ball hit the ground?
Answers
By solving the quadratic equations,
It will take the ball 1 second to reach 18 feet
It will take the ball 1.71 seconds to be at 10 feet
It will take the ball 2.06 seconds to hit the ground
Solving quadratic equations: Determining how long it would take the ball to reach a heightFrom the question, we are to determine how long it would take the ball to reach 18 feet
To determine how long it would take the ball to reach 18 feet, we will set h = 18 in the equation
The given equation is
h = -16t² + 32t + 2
Put h = 18
18 = -16t² + 32t + 2
Rearrange
16t² - 32t - 2 + 18 = 0
16t² - 32t + 16 = 0
16t² - 16t - 16t + 16 = 0
16t(t - 1) -16(t - 1) = 0
(16t - 16)(t - 1) = 0
16t - 16 = 0 OR t - 1 = 0
16t = 16 OR t = 1
t = 16/16 OR t = 1
t = 1 OR t = 1
Hence,
t = 1 second
Hence, it will take the ball 1 second to reach 18 feet
To determine how long it will take the ball to reach 10 feet, we will set h = 10
h = -16t² + 32t + 2
Put h = 10
10 = -16t² + 32t + 2
Rearrange
16t² - 32t - 2 + 10 = 0
16t² - 32t + 8 = 0
Using the quadratic formula,
t = 0.29 second OR t = 1.71 seconds
The ball will hit the ground when h = 0
Set h = 0 in the equation
h = -16t² + 32t + 2
0 = -16t² + 32t + 2
16t² - 32t - 2 = 0
Using the quadratic formula,
t = -0.06 OR t = 2.06
Since t cannot be negative,
t = 2.06 seconds
Hence, it will take 2.06 seconds for the ball to hit the ground
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kimberly sent gifts to her friends. for each gift she used either a rectangular gift box or a cylindrical gift box. each box contains exactly one gift: either a fragrant soap or a pack of spicy roasted almonds. if half of the boxes she sent were cylindrical, and a third of the rectangular boxes contained soap, then how many cylindrical boxes contained soap?
Answers
Kimberly sent approximately 34 cylindrical boxes that contained soap
Let's assume Kimberly sent a total of 100 gift boxes. Since half of the boxes were cylindrical, that means she sent 50 cylindrical boxes.
If a third of the rectangular boxes contained soap, then 1/3 * (100 - 50) = 1/3 * 50 = 50/3 ≈ 16.7 rectangular boxes contained soap. Since we cannot have a fraction of a box, let's round it down to 16 rectangular boxes containing soap.
Now, since each box contains exactly one gift, the remaining cylindrical boxes must contain the pack of spicy roasted almonds. Therefore, out of the 50 cylindrical boxes, 50 - 16 = 34 cylindrical boxes contain soap.
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The terminal side of theta in standard position contains the point (-2, -6). Find the exact value of sin theta.
Answers
The exact value of sin theta as required to be determined in the task content is; sin theta = -3 / 2√10.
What is the exact value of sin theta as required?It follows from the task content that the exact value of sin theta is required to be determined from the given information.
Since the given terminal side of theta is; (-2, -6) it follows that the length of the hypothenuse in the arrangement is;
= √((-2)² + (-6)²)
= √(4 + 36)
= √40
= 4√10.
Therefore, since sin theta = opposite / adjacent;
Sin theta = -6 / 4√10
sin theta = -3 / 2√10.
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The points (7,-5) and (r,5) lie on a line with slope . Find the missing coordinate .
Answers
The missing coordinate is equal to 15.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
5/4 = (5 + 5)/(r - 7)
5/4 = 10/(r - 7)
5(r - 7) = 40
5r - 35 = 40
5r = 75
r = 75/5
r = 15.
Based on the information provided, the slope is the change in y-axis with respect to the x-axis and it is equal to 5/4.
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Complete Question:
The points (7,-5) and (r,5) lie on a line with slope 5/4. Find the missing coordinate
