The required value of x is 112/13 which line through the points has the given slope of (x, -8) and (-7,5).
What is the slope of the line?The slope of the line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
We have been given two points :(x, -8) and (-7,5)
As per the line of slope,
m = (y₂ - y₁)/(x₂ -x₁ )
Here
x₁ = x, y₁ = 8
x₂ = -7, y₂ = 5
Substitute values in the above formula
-13/7 = (5 - 8)/(-7 - x )
-13/7 = -3/(-7 - x )
-13(-7 - x ) = -21
91 + 13x = -21
13x = -21 - 91
13x = 112
x = 112/13
Therefore, the required value of x is 112/13.
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Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 3 or a queen?
Final answer:
The probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards is 2 / 13, or approximately 15.38%.
Explanation:
The question asks for the probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards. There are four 3s and four Queens in a standard deck, making a total of eight specific cards that fulfill our criteria out of 52. To calculate this probability, we divide the number of favorable outcomes (drawing a 3 or a Queen) by the total number of outcomes (total cards in the deck).
The formula for calculating the probability, P(A), of an event A (in this case, drawing a 3 or a Queen) is:
P(A) = Number of favorable outcomes / Total number of outcomes
Therefore, P(3 or Queen) = 8 / 52 = 2 / 13. This simplifies to approximately 0.1538 or 15.38%.
This means that when you draw a card from a standard deck of 52 playing cards, you have approximately a 15.38% chance of drawing either a 3 or a Queen.
A rectangular picture frame measures 10 cm by 12 cm. Do you want to triple the frames area by adding the same distance "x" to the length and the width. Write and solve an equation to find the value of "x". What are the new dimensions of the picture frame?
Given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point? Explain. no; The points must all be collinear to draw a plane. yes; Use the three points provided to draw the plane. yes; Use the third point to create a perpendicular to the line. no; The measurements between the points must be found to be equal.
Yes, it is possible to draw a plane that includes a line and a third point not on the line. In mathematics, a plane can be defined by three points. Therefore, the two points on the line and the third point not on the line can be used to define the plane.
Explanation:Yes, it is indeed possible to draw a plane that includes a line and a third point not on the line. The definition of a plane in mathematics is that it's a two-dimensional surface that extends infinitely along its length and width, which can be defined by three points. Considering you have two points on the line, and a third point that's not on the line, you could use these three points to define your plane. It doesn't matter whether the three points are collinear or not, the plane can still be defined. The key is that you need at least three non-collinear points to define a plane.
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What are the zeroes of f(x) = x2 − 9x + 20?
What is “Twice a number is more than the sum of that number and 9” written in equation form?
which term best describes the intersection of two lines?
a) angle
b) line segment
c) point
d) ray
How many days between 09/26/16 and 10/04/2016?
There are 7 days between September 26, 2016, and October 4, 2016.
To find the number of days between 09/26/16 and 10/04/16, you can follow these steps:
Start Date: September 27, 2016End Date: October 3, 2016Count the days from September 27 to October 3 as the question asks for days between 26 September and 4 October, i.e., days belonging to the interval (26 September,4 October).Let's break it down:
September 27 to September 28: 1 daySeptember 28 to September 29: 1 daySeptember 29 to September 30: 1 daySeptember 30 to October 1: 1 dayOctober 1 to October 2: 1 dayOctober 2 to October 3: 1 dayWhen you add these, the total is 7 days.
Therefore, there are 7 days between 09/26/16 and 10/04/16.
F(x)=T-2(X+4)^2 where t is the constant. If f(-8.3)=f(a) and a > 0 what is the value of a ?
We are given the equation:
F (x) = T – 2 (x + 4)^2 ---> equation 1
Since we know that f (-8.3) = f(a) and a>0, therefore from equation 1 we can generate that:
(x + 4)^2 = (a + 4)^2
(-8.3 + 4)^2 = (a + 4)^2
(-4.3)^2 = (a + 4)^2
(a + 4)^2 = 18.49
a + 4 = 4.3
a = 0.3
h(x) = x^2 + 1 k(x) = x – 2
(h + k)(2)=?
Answer: the answer is 5
Step-by-step explanation: edge 2020
Name the property illustrated by each statement:
1. If x+9=2, then x+9-9=2-9
2. If x=3y and 3y=16. then x=16
Final answer:
The first statement demonstrates the Subtraction Property of Equality, and the second statement shows the Transitive Property of Equality, both of which are fundamental in solving linear equations.
Explanation:
The property illustrated by each statement:
If x+9=2, then x+9-9=2-9. This is an example of the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.If x=3y and 3y=16, then x=16. This is known as the Transitive Property of Equality, where if one value equals a second value, and the second value equals a third value, then the first value equals the third value.Understanding these properties helps in solving linear equations and applying basic operations in algebra.
Final answer:
The properties illustrated are the Subtraction Property of Equality and the Transitive Property of Equality, used in solving linear equations.
Explanation:
The question is asking to name the property illustrated by each statement:
Subtraction Property of Equality: If x+9=2, then x+9-9=2-9. This shows that if you subtract the same number from both sides of an equation, the equality is maintained.
Transitive Property of Equality: If x=3y and 3y=16, then x=16. This property states that if one quantity equals a second, and the second quantity equals a third, then the first quantity equals the third.
These properties are fundamental in solving linear equations and are used to manipulate and solve equations for a specific variable.
What percent of 225 is 180
A company bought a total of 4 1/2 feet of cable to connect 3 computers to the wall outlet. Each computer needs the same amount of cable. How many feet of cable are needed to connect each computer?A.1 1/2 ft B.1/3 ft C.1 1/3 ft D.1/2 ft please help i will mark brainliest
Answer:
A Hope this helps
Step-by-step explanation:
A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many quarters are there?
how to solve for literal equations with multiple variables
A dreidel is a top with four sides, used in a Hanukah game. The sides are labeled with the Hebrew letters, nun, gimel, hay, and shin. A dreidel is spun 100 times, with the following results: nun 10 gimel 45 hay 24 shin 21 A player wins tokens if the dreidel lands on either gimel or hay. What is the probability of winning tokens? a. 0.54 c. 0.69 b. 0.63 d. 0.87
The probability of winning tokens is 0.69. Therefore, the option C is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, dreidel is spun 100 times, with the following results: nun =10, gimel =45, hay =24 and shin =21.
A player wins tokens if the dreidel lands on either gimel or hay.
Here, probability of getting gimel is 45/100
The probability of getting hay is 24/100
So, the probability of an event is 45/100 +24/100
= 69/100
= 0.69
Therefore, the option C is the correct answer.
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Of all the students enrolled at Anderson High School, 9, percent are in the band. The band has 1801members.How many students are enrolled at Anderson?
The sum of x to the sixth power and 3 times x
what is 1.23 pounds as an mixed number?
A map is drawn using a scale of 1cm and 80mi. Two cities are 280miles apart. How far are the cities on the map.
Which algebraic expression models the given word phrase 10 times the sum of a and b?
Answer:
[tex]10(a+b)[/tex]
Step-by-step explanation:
We are asked to write an algebraic expression for the given word phrase.
The sum of 'a' and 'b' would be [tex]a+b[/tex].
10 times the sum of 'a' and 'b' would be 10 multiplied by sum of both 'a' and 'b': [tex]10(a+b)[/tex]
Therefore, our required algebraic expression would be [tex]10(a+b)[/tex].
Which of the following is not part of the job search preparation checklist
A- self assessment
B-resume
C-fact sheet
D- follow up plan
Answer:
c). Fact sheet
Step-by-step explanation:
A). Self assessment
Self assessment is analyzing oneself or examining oneself. This is important for job search as to it provides a clear idea in our mind that what we actually want to do and want we are interested in.
B). resume
Resume is very important in job search. It is basic bio data or a brief summary of our education and past employment experience if any. It also showcases our strength and weakness and our main objective in our life.
C). fact sheet
Fact sheet is a list of facts or events listed in a chart and it has no connection to any job search. It may be good to have knowledge about facts but it is not necessary and compulsory for job search.
D). follow up plan
Follow up plan is a routine check to be done when searching for jobs. Searching for vacancies, contacting the company and following up with the employer is a necessary thing in job search.
Therefore, C). fact sheet is not a part of job search preparation checklist.
If x , y and z Are whole numbers greater than 2 and If xyz2 = 735 What is the value of x+ y+z
The value of x + y +z is 15.
A type of number that includes the natural number and zero.
It does not include fractions and decimals.
Odd numbers are those real numbers that are not divisible by 2.
The variables x, y, and z are whole numbers.
The value of x, y, and z is greater than 2
xyz² = 735
The value of x + y +z has to be determined.
Let x = 3 ,then by the given statement y = 5 and z = 7
These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.
To check, they should satisfy xyz² = 735
= 3 * 5 * 7²
= 735
So these are the values of the variables and so,
The value of x + y +z is
= 3 + 5 + 7
= 15
It seems that your question is incomplete, the complete question is :
If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.
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If y is directly proportional to x and if y=50 when x=25, find k, the constant of proportionality.
Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values of x and y. Then evaluate the simplified expression.
The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is
By using the logarithmic property the solution of the given function will be 0.43.
What is Logarithm?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The solution of the given expression is given as:-
Log7(70) - log7(35) = log7(70/35) = log7(2)
Properties of exponents tell us that:
log7(2) / log7(5) = log5(2)
x = 5
y = 2
Answer = 0.43
Therefore using the logarithmic property the solution of the given function will be 0.43.
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Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.
Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.
What is the youngest age Juanita's cousin can be?
Enter your answer in the box.
Write 506.137 in expanded form.
The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle
Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form?
A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1600 feet, what are the dimensions of the field?
Final answer:
The width of the field is 80 feet, and the length is 720 feet, calculated using the perimeter formula and the given ratio of length to width.
Explanation:
To determine the dimensions of the rectangular field, we need to set up two equations based on the given information that the field's length is nine times its width and that the perimeter is 1600 feet. We'll let w represent the width of the field and l represent the length.
Since the field's length is nine times its width, we can express this as l = 9w. The perimeter P of a rectangle is given by P = 2l + 2w. Since we know the perimeter is 1600 feet, we can use this to create the equation 1600 = 2(9w) + 2w, which simplifies to 1600 = 18w + 2w.
Combining like terms gives us 1600 = 20w, and solving for w gives us w = 1600 / 20, so w = 80 feet. Knowing w, we can find l by multiplying the width by 9: l = 9w = 9 × 80 = 720 feet.
Therefore, the dimensions of the field are a width of 80 feet and a length of 720 feet.