Lines can be perpendicular or parallel to one another.
The parallel line's equation is y = mx - am + c.The perpendicular line's equation is y = -(x/m) + a/m + c.What do we mean by linear equation?
A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.So,
A linear equation is written as: y = mx + b
Where, m = slope.
(A) Parallel equation:
The slope of a line parallel to y = mx + b is the same as the slope of y = mx + b, that is the slope is the equation in m.
The equation is then solved as follows:
y = m(x - x₁) + y₁Where:
(x₁,y₁) = (a,c)Now, put (x₁,y₁) = (a,c) in y = m(x - x₁) + y₁ as follows:
y = m (x - a) + c
y = mx - am + c
So, the equation of a line is y = mx - am + c.
(B) Parallel equation:
The slope (m2) of a perpendicular line to y = mx + b is:
m₂ = -(1/m)The equation is then solved as follows:
y = m₂(x - x₁) + y₁Where:
(x₁,y₁) = (a,c)m₂ = -(1/m)Now, put (x₁,y₁) = (a,c) in y = m(x - x₁) + y₁
y = -(1/m)(x - a) + cy = -(x/m) + a/m + cThe perpendicular line's equation is y = -(x/m) + a/m + c.
Therefore, lines can be perpendicular or parallel to one another.
The parallel line's equation is y = mx - am + c.The perpendicular line's equation is y = -(x/m) + a/m + c.Know more about the linear equation here:
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The correct question is given below:
Find the equations for the lines through the point (a,
c.that are parallel to and perpendicular to the line y = mx + b where m ≠ 0. use y for the dependent variable and all letters in lower case.
Find the volume of the swimming pool?
depth = 9
2x+10 3x-5
Answer:
50
Step-by-step explanation:
2(9)+10
3(9)-5
18+10=28
27-5 =22
28+22=50
Eighth grade > J.10 Solve proportions: word problems 5XV
You have prizes to
Sally's retirement party will cost $34 if she invites 17 guests. If there are 46 guests, how
much will Sally's retirement party cost? Assume the relationship is directly proportional.
Answer:
Practice with this https://www.ixl.com/math/grade-8/solve-proportions-word-problems
Step-by-step explanation:
On a map once 1 cm = 22 miles, find the actual distance between two towns a & b which is 4.7 cm on the map
on the map , 1cm=5kmtherefore ,
4.7cm= 5/1 x 4.7=23.5 km <----—-answer
I NEED HELP QUICK
In the image above angle 11 is 93 degrees, what is angle 11?
Answer:
angle 11 is an obtuse angle
Step-by-step explanation:
93 < 90
⬆️ ⬆️
obtuse right
You are graphing rectangle ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle: A(-7, -2), B(3, -2),A(−7,−2),B(3,−2),A, left parenthesis, minus, 7, comma, minus, 2, right parenthesis, comma, B, left parenthesis, 3, comma, minus, 2, right parenthesis, comma and C(3,-5)C(3,−5)C, left parenthesis, 3, comma, minus, 5, right parenthesis.
What are the coordinates of point DDD?
Answer:
5 units
Step-by-step explanation:
The graph, the coordinates of point D is (-7, -5).
The given coordinates of the rectangle ABCD are A(−7, -2), B(3, -2) and C(3, −5).
We need to find the coordinates of point D.
How to plot the coordinates on the cartesian plane?A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, plot A(−7, -2), B(3, -2) and C(3, −5) on cartesian plane.
The coordinates are plotted on the graph, shown below.
From the graph, the coordinates of point D is (-7, -5).
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Factor:
3t³-21t²-12t
Answer:
3t (t²-7t-4t)
Step-by-step explanation:
The highest common factor was 3t
Write two number so that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number ?
The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.
Given that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number .
The first number will be 9 and the second number will be 98.
In the second number, the 9 is in the tens position which means that it has the value of 90.
In the first number, the value of 9 is simply 9.
90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.
The first number will be 9 and the second number will be 98.
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please answer with steps
txt: identify the domain and range of the following relation and determine if the relation is a function. Explain why or why not.
We need to know about relation and function to solve the problem. The domain of the relation is {-4,2,7,10} and the range is {-4}. The relation is a function.
Relation is a subset of Cartesian product or we can say that it is a set of points. It can also be described as a collection of ordered pairs.Function is a relation which follows that each input should have only one output. The domain of a relation or function is the set of values that the relation can accept, the range of a relation is the set of values that can be an output of the function or relation. The x values are the inputs and form the domain whereas the y values give the range. In the given relation the domain of the relation is {-4,2,7,10} and the range of the relation is {-4} since there is only one ouput value. The relation is a function since every input has only one output.
Therefore the domain of the relation is {-4,2,7,10} and the range is {-4} and the relation is function.
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Select all the correct answers.
Grace's work is x miles from her house. She drives to work every day of a 5-day workweek. Grace also goes to the gym every day after work, which increases her daily drive by 8 miles. The following expression shows the number of miles Grace puts on her car during the workweek.
Which of the following descriptions are equivalent ways to write this problem?
-----------------------------------------------------
1, Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 7 times. She also goes to the gym to work out which increases her driving by 13 miles per workweek.
2. Grace's work is x miles from her house. To get to work and back, she drives 2x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.
3. Grace's work is x miles from her house. To get to work and back, she drives x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.
4. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 10 times. She also works out which increases her driving by 40 miles per workweek.
(this problem is multiple choice btw)
Answer: 54
Step-by-step explanation:
54
Answer: The 4 one is correct, The 2 one is correct
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest and if im wrong i am so sorry:(
Describe all numbers x x that are at a distance of 6 6 from the number 12 12. express this using absolute value notation.
The absolute value notation will be |x - 12| = 6
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
All numbers x is at a distance of 6 from the number 12. Then the equation will be
|x - 12| = 6
Simplify the equation, then we have
For x ≥ 0, then the value of x will be
x - 12 = 6
x = 18
For x < 0, then the value of x will be
- x + 12 = 6
x = 6
The absolute value notation will be |x - 12| = 6
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Shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. What percent increase in sales does this represent?
If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.
Percentage increaseUsing this formula
Percentage increase= Percentage increase in share price / Initial percentage x 100%
Let plug in the formula
Percentage increase= 0.9% / 4.5% x 100%
Percentage increase=20%
Therefore If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.
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5) Margot buys a 5 litre bottle of lemonade for £2.30. She divides it into glasses. She
pours 250ml into each glass. She sells all the glasses at 25p each.
Work out her percentage profit.
Answer: 117.39%
Step-by-step explanation:
5 Litre x 1000 ml (1 litre=1000ml)
=5000 ml
5000÷250
=20 glasses
20 x 25p = 500p (£1 = 100p)
£(500÷100)=£5.00
5.00-2.30/2.30 x 100%
=2.7/2.3 x 100%
≈117.39%
Does this help?
help me solve this! (with explanation)
Answer:
a) 512cm³ b) 2 × 2 ×2
Step-by-step explanation:
A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL
a) Volume of a cube = length × width × height
as the length width and height are equal so it will be
8 × 8 × 8 = 512
b) Volume of a cube = length × width × height
as length, width and height are equal lets suppose the value of each of them will be = x
volume = x × x × x
vol = x³
8 = x³
∛8 = x
x = 2
Which function would you use to locate the index of the first character of the first occurence of a substring within another string?
You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
What is the CHARINDEX function?The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.
⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)
Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.
Input_string: The input string is defined in this argument.
Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
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Use what you know about addition and subtraction of polynomials to find the missing term represented by the question mark in each equation. (â€""4x2 6x 3) (8x 5 ?) = 2x2 14x 8 ? = (â€""b3 3b2 8) â€"" (? â€"" 5b2 â€"" 9) = 5b3 8b2 17 ? =
According to the given statement the value for:
A. = 6x²
B. = 6x³
What do you mean by Polynomials?An expression that only uses the same operations of addition, subtraction, multiplication, and non-negative integer exponentiation of factors is said to be a polynomial. It consists of indeterminates and coefficients. x²+4x + 7 is an illustration of a polynomial of one uncertain x.
According to the given data:Polynomials are added by combining like terms.
We can see that adding 6 and 8 together yields 14, and adding 3 and 5 together yields 8.
We also understand that adding something to -4x² yields 2x². We deduct to obtain the value that is missing:
2x²-(-4x²) = 2x²+4x² = 6x².
Similarly for the second equation on solving we get:
Polynomials are added by combining like terms.
We also understand that adding something to -b³ yields 5b³. We deduct to obtain the value that is missing:
5b³-(-b³) = 5b³+ b³ = 6x³.
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I understand that the question you are looking for is:
Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x² + 14x + 8
? =
(-b³ + 3b2 + 8) – (? - 562 - 9) = 5b³ + 8b2 + 17
? =
does pie ever end?
the question is the 3.14 i know the answer i just want to see if you get it right
Answer:3.141598
Step-by-step explanation: that is all I can remember on the top of my head
Please help me due in less than an hour
Answers to Question 6: m∠1 = 92, m∠2 = 88
The sum of a linear pair's angles is 180°, so we will set up an equation to solve.
(x + 67) + (3x + 13) = 180
4x + 80 = 180
4x = 100
x = 25
-
(x + 67) ➜ (25 + 67) ➜ 92
(3x + 13) ➜ (3(25) + 13) ➜ 88
Answer to Question 7: m∠2 = 56
Vertical angles are congruent, or equal, so we can set up an equation to solve.
(5x + 16) = (4x + 24)
x = 8
-
(5x + 16) ➜ (5(8) + 16) ➜ 56
(4x + 24) ➜ (4(8) + 24) ➜ 56
The vertical asymptote of the function = ln(x-6) + 5 is:
O A. x = -6
B. x = -5
O C. x = 6
D. x = 5
The vertical asymptote of the function = ln(x-6) + 5 is option C: x = 6.
The given function is f(x) = ln(x - 6) + 5.
A vertical asymptote is a vertical line that a function approaches but never crosses as it approaches infinity or negative infinity. For a logarithmic function like ln(x), the domain of the function is restricted to positive values only since the natural logarithm is undefined for non-positive arguments.
In the given function, we have f(x) = ln(x - 6) + 5. To find the vertical asymptote, we need to identify the value of x that would make the argument of the natural logarithm equal to zero.
Let's set the argument of the natural logarithm to zero:
x - 6 = 0
Now, solve for x:
x = 6
Thus, the value of x that would make the argument of the natural logarithm zero is x = 6.
So, the correct answer is option C: x = 6.
This means that the vertical asymptote of the function f(x) = ln(x - 6) + 5 is the vertical line x = 6. As x approaches 6 from either side (but never equaling 6), the function's values approach infinity. Similarly, as x approaches negative infinity, the function's values also approach infinity. The function never crosses the vertical line x = 6.
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(7x-11) (6x-1) find the value of x
Answer:
Hey!
Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°
We can write the expression as (7x - 1) + (6x - 1) = 180
Simplify
→ (7x + −1) + (6x + −1) = 180
Combine Like Terms
→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180
Add 2 To Both Sides
→ 13x - 2 + 2 = 180 + 2 → 13x = 182
Divide 13 To Both Sides
13x/13 = 182/13 → x = 14
Hence, the value of x is 14!
-------------------------------------------------
Hope This Helped! Good Luck!
BD bisects ZABC. Solve for x and find mABC.
m/ABD = 11x - 10, m/CBD = 8x + 2
The value of x is 4 and the value of ∠ABC is 68°.
To solve this problem we first have to understand the concept of an angle bisector. Angle bisector is a straight line passes through the vertex of an angle dividing the angle in two equal angles.
According to the condition BD bisects ∠ABC
Therefore the two angles formed by the angle bisector are ∠ABD and ∠CBD.
The angle value of these two angles are equal.
Given:
m∠ABD=11x-10
m∠CBD=8x+2
Therefore from the above condition:
m∠ABD=m∠CBD
Substituting the values we get:
11x-10=8x+2
Solving the linear equation to find the value of x.
[tex]or,11x-10=8x+2\\or,11x-8x=2+10\\or,3x=12\\or,x=4[/tex]
Now let us find the value of ∠ABC
m∠ABC=m∠ABD+m∠CBD
or,∠ABC=11x-10+8x+2
or,∠ABC=19x-8
Substituting the value x=4 in the equation we get:
m∠ABC=19×4-8
or,m∠ABC=68°
Therefore we can conclude that the value of xis 4 and the value of ∠ABC is 68°.
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other recipe calls for 34
3
4
cup of milk. Marisa has 1
1
cup of milk.
Does Marisa have enough milk for both recipes?
Bombonica s-a gândit la un număr, i-a adăugat 74, rezultatul obţinut l-a mărit de 10 ori, iar din
noul rezultat a luat de 7 ori câte 86 şi a obţinut 318, număr care reprezenta numărul zilelor de când
fusese răpit împăratul. La ce număr s-a gândit?
[tex]x + 74 \cdot 10 - (7 \cdot 86) = 318[/tex]
[tex]x+74\cdot \:10-7\cdot \:86=318[/tex]
[tex]x+740-7\cdot \:86=318[/tex]
[tex]x+740-602=318[/tex]
[tex]x+138=318[/tex]
[tex]x = 318 - 138 = 80[/tex]
Imparatul s-a gandit la numarul 80.
A boat travels upstream the Missouri River for 3.5 hours. The return trip takes only 2.5 hours because the boat travel 2 miles per hour faster downstream due to the current. How far does the boat travel downstream? PLEASE HELP PLSPLSPLSPLS
The distance traveled by boat upstream would be 5 miles because downstream, the boat moves 2 miles per hour more quickly.
What is the speed?Speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
We have been given that the boat takes 3.5 hours to move upstream on the Mississippi River.
And 2.5 hours are used traveling back.
Downstream, the boat moves 2 miles per hour more quickly.
Let the speed of travel upstream would be x
⇒ 3.5x = 2.5(x + 2)
⇒ 3.5x = 2.5x + 5
⇒ 3.5x - 2.5x = 5
⇒ x = 5
So the distance traveled by boat upstream would be
= 3.5 × 5
= 17.5 miles per hour
Therefore, the boat travels 5 miles downstream.
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31.693 rounded to the nearest tenth
Answer:
31.7
Rounded to the nearest Tenths Place.
write an equation of the line
The test statistic value calculated by the statistical procedure selected is known as the ______.
The test statistic value calculated by the statistical procedure selected is known as the obtained value.
What is the obtained value in statistics?The obtained value is the test statistic value derived using the specified statistical procedure.
An outcome of a statistical test of a hypothesis is a test statistic. It displays how closely your actual data match the distribution predicted by the statistical test's null hypothesis.
The p-value of these results, which is needed to decide whether to reject your null hypothesis, is calculated using the test statistic.
Therefore, the test statistic value calculated by the statistical procedure selected is known as the obtained value.
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The sequence below shows the number of raffle tickets that Samantha sold each day during a month.
3,7,11,15…
Which one explicit formula models the number of tickets Samantha sold on day x?
Answer:
C
Step-by-step explanation:
You are looking for the arithmetic sequence.
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n-1)d
In this case the formula is written:
t(x) = 3 + 4(x-1)
The 3 is the first term. The 4 is how much the sequence is increasing each time. (x-1) stands for the term we are looking for. If we were looking for the 15th term, we would have (15-1) in the parentheses.
Solve for x when g=x-c/x
Answer:
x= -3/g -1
Step-by-step explanation:
Of the students at Milton Middle School, 192 are girls. If 60% of the students are girls, how many total students are there at Milton Middle school?
Answer:
320 Students
Step-by-step explanation:
Hope this helps :)
The function f(x) = x² + 4 is defined on the domain [-8, 8]. Which of the following is the correct associated range?
O [4, 68]
O [0, 4]
O [-60, 4]
O (-∞, 4]
O [-60, 68]
0 (-∞, ∞)
========================================================
Explanation:
The parabola has its lowest point when either x = -8 or x = 8
Plug either value into the function
f(x) = -x^2 + 4
f(-8) = -(-8)^2 + 4
f(-8) = -60
You should find that f(8) = -60 as well
This is the lowest output possible. Confirmation of such can be done using a graph. Look for the lowest point and only focus on the interval [tex]-8 \le \text{x} \le 8[/tex]
The highest point is at the vertex (0, 4), so the largest output is y = 4
------------
We have the lowest output y = -60 and the highest output y = 4
The possible set of outputs is the interval [tex]-60 \le \text{y} \le 4[/tex] which turns into the interval notation [-60, 4]
Check out the graph below.
