ok
P1 = (2, 3)
P2 = (2, 5)
1.- Find the slope
slope = m = (y2 - y1) / (x2 - x1)
-Substitution
m = (5 - 3) / (2 - 2)
m = 2/0
The slope is a horizontal line because does not exist.
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 0
y = 3 This is the standard form of your question.
Find the missing number so that the equation has no solutions.
2 x + 4 = – 3 x – 18 + blank x
The value of x in the equation given is x = -4.4
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.
In this case, the value will be expressed by subtracting the variables that are given in order to get the other term. This will be:
2x + 4 = -3x - 18
Collect like terms
2x + 3x = -18 - 4.
5x = -22
Divide
x = -22 / 5
x = -4.4
This illustrates the concept of equations.
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What are the terms of each expression?
4x + 3z
Answer:
4x and 3z are the only 2 terms in this esxpression.
A cube has a surface area of 600 cm2 what is the area of one face of the cube
Answer:
The surface area of one face of the cube is 100 square centimeters.
Step-by-step explanation:
From the given diagram, we can conclude that a cube has 6 faces. To get the surface area of one face, we take the total surface area and divide it by 6, as following:
[tex]\frac{600}{6}\rightarrow100[/tex]This way, we can conclude that the surface area of one face of the cube is 100 square centimeters.
A tissue factory produces 3,876 tissues a day. How many tissues does it produce after 7 days?
Answer:
27,132 tissues
Step-by-step explanation:
if it produces 3,876 tissues a day, and a week has 7 days, then the answer would be 3,876 x 7=27,132 tissues
Answer:
27132 tissues
Step-by-step explanation:
everyday 3876 tussues are made
so the equation would be 3876×7 to get how many tissues are made in 7 days
Calculate rates (backwards)
If you pay $60 for bulk rice, at $4.00 / kg, how many kilograms can you buy?
Answer:
15kg
Step-by-step explanation:
$60 divide by $4 kg
60/4=15
Solve the system of equations
Answer x=-1 and y = 7
Explanation:
Find the inverse of f(x) = 12x - 3
ANSWER
[tex]f^{-1}(x)\text{ = }\frac{y}{12}+\frac{1}{4}[/tex]EXPLANATION
We want to find the inverse of the function given:
f(x) = 12x - 3
First, replace f(x) with y:
y = 12x - 3
Now, make x the subject of the function:
y + 3 = 12x
[tex]\begin{gathered} \Rightarrow\text{ x = }\frac{y}{12}\text{ + }\frac{3}{12} \\ x\text{ = }\frac{y}{12}\text{ + }\frac{1}{4} \end{gathered}[/tex]Now, replace x with f-1(x) and y with x:
[tex]f^{-1}(x)\text{ = }\frac{y}{12}+\frac{1}{4}[/tex]That is the inverse function.
f(x)=√x+11. Find the inverse of f(x).
O A. f¹(x) = x³ – 11
O B. f¹(x) = (x - 11)³
O c. f¹(x) = x³ + 11
O D. f¹(x) = (x +11)³
Answer: Your answer would be C: f¹(x) = x³ + 11
Devon records 4 hours of reality shows on her dvr. she records comedy shows for 3/8 of that amount of time. devon watches all the reality and comedy shows in half hour sittings.
If Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours
Number of hours the Devon record the reality shows = 4 hours
she records comedy shows for 3/8 of that amount of time
The number of hours taken to record the comedy show = (3/8)×Number of hours the Devon record the reality shows
Substitute the values in the equation
= (3/8)×4
= 12/8
= 1.5 hours
Hence, if Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours
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f(x)=5x+10 solve when f(x)=20
When f(x) = 20
Then
5x + 10 = 20
Therefore
5x=20-10=10
x = 10 / 5 = 2
x= 2
Question 8
Given the equations y=-4x-4 and y=4(x+1), is (-1,0) a solution of the system of
equations?
True
False
Question 9
The solution to the system of linear equation
1 pts
1 pts
Yes is (-1,0) a solution of the system of equations.
A linear equation is defined.A linear equation is one that has a maximum degree of 1. No variable in a linear equation has an exponent greater than 1, thus. A linear equation's graph is always a straight line.
Since each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line. It is called a "linear equation" because of this.
Given
y=-4x-4...(i)
y=4(x+1)
=> y =4x + 4....(ii)
Adding (i) and (ii) we get
y= 0
Now putting y = 0 in Equation (i)
we get x = -1
Therefore (-1,0) is the solution of the two given equations.
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the length of a small garden is 12.64 feet. the width of the garden is 14 feet. samuel wants to fence the garden in on all sides. he has 50 feet of fencing. calculate the perimeter of the garden to determine if samuel has enough fencing.
Answer:
He does not have enough for fencing the garden
Step-by-step explanation:
The garden is in the shape of a rectangle
The perimeter of a rectangle of length L and width W is given by
P = 2 (L + W)
Since we are given L = 12.64 ft and W = 14 ft, the perimeter of the garden is
2 ( 12.64 + 14) = 2 (26.64) = 53.28 feet
Since Samuel only has 50 feet of fencing, there is not enough to fence. He is short by 3.28 feet
2/3 + 9/10 adding fractions
My teacher is making us show work :(
Answer: 47/30
Step-by-step explanation:
1) Find the common denominator
2/3 + 9/10
10/10 * 2/3 + 9/10 * 3/3
2) Add the numerator
20/30 + 27/30
47/30
"Complete the table" can i get some help with this pls and thank you
when we divide the number of seconds in december by the number of seconds in november, we get a remainder of $r$. if we then divide $r$ by $11$, what remainder do we get?
The remainder when r is divided by 11 is 6.
Remainder is the amount left after dividing a number by another. After dividing a number with another, it will result to an integer and a remainder, which is less than the divisor.
Divide the number of seconds in December by the number of seconds in November and get the remainder, r.
number of seconds in December ÷ number of seconds in November
31days(24h/day)(60min/h)(60s/min) ÷ 30days(24h/day)(60min/h)(60s/min)
= 2678400 s ÷ 2592000 s
= 1 r. 86400
r = 86400
Divide r by 11 and get the remainder.
86400 ÷ 11 = 7854 r. 6
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Suki has placed $800 in an account that pays 4 percent interest compounded quarterly. at the end of two years (eight quarters), the balance in the account will be $ 0.08 . that means suki will have earned $ in interest during that time. (round your answers to the nearest cent.) what will be the balance in the account at the end of two years (eight quarters)? how much interest will suki have earned during that time? (round your answers to the nearest cent.)
The balance in the account at the end of two years is $864.
The interest earned by Suki during that time is $64.
The initial principal amount "P" is $800.
The interest rate "R" is 4%.
The interest is compounded quarterly.
This means the value of "n" is 4.
The time period for which the interest is earned is 2 years.
The formula for compound interest is :
A = P*[1 + (R/n)]^(n*t)
A = 800*[1 + (0.04/4)]^(4*2)
A = 800*[1 + 0.01]^(4*2)
A = 800*[1.01]^(8)
A = 800*1.08
A = 864
The total interest earned is the final amount minus the principal amount.
The total interest earned is $864 - $800.
The total interest earned is $64.
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Estimate the difference by rounding each number
to the nearest hundredth: 0.076 -0.011
A 0.08
B 0.06
C 0.05
D 0.07
Answer:
answer is D= 0.07
Step-by-step explanation:
The equation:
0.076 - 0.011
By rounding to the nearest hundredth
0.076 = 0.08
0.011 = 0.01
=0.08-0.01
=0.07
Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y -axis of the graph of f(x)=(2x+1)^2-4 . Write a rule for g .
The rule for the function g(x) is (2x + 5)² - 5.
We are given a function f(x). The function f(x) is defined as given below :
f(x) = (2x + 1)² - 4
A function connects an input with an output. It is analogous to a machine with an input and an output. And the outcome is somehow connected to the input.
We first need to do a translation with 2 units left.
The translation is given by f(x + 2).
f(x + 2) = (2x + 5)² - 4
We now need to do a translation with 1 unit downwards.
The translation is given by f(x + 2) - 1.
f(x + 2) - 1 = (2x + 5)² - 4 - 1
f(x + 2) - 1 = (2x + 5)² - 5
The definition of the function is given below :
g(x) = (2x + 5)² - 5
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Point-slope form: y minus y 1 = m (x minus x 1).
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Choose the equation of the line.
y = 2x – 7
y = 2x + 11
y = –4x + 14
y = 3x +14
Help me please!!
Juan Fuentes is a computer programmer. His annual salary is
$32,190.00. Benefits he receives consist of $1,881.73 in vacation time,
holidays worth $1,287.60, health insurance premiums of
$2,300.00 paid by the employer, Social Security of $1,995.78,
Medicare of $466.76, and unemployment insurance of $541.06.
a. What are the total benefits?
b. What is the rate of benefits?
In linear equation,$7185.33 is the total benefits.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.the total benefits of Juan Fuentes = $1,881.73 + $2,300.00 + $1,995.78 +
$466.76 + $541.06
= $7185.33
the rate of benefits of Juan Fuentes = $1,287.60
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how much will Yoona charge to walk 8 dogs
Yoona will charge $20.75 to walk 8 dogs based on the trend of Yoona charges to walk dogs.
How to find the amount to be charged?First, find the pattern in the amount that Yoona charges to walk each additional dog.
Additional cost to walk 2 dogs:
= 40 - 37.25
= $2.75
Additional cost to walk 3 dogs:
= 37.25 - 34.50
= $2.75
Additional cost to walk 4 dogs:
= 34.50 - 31.75
= $2.75
Every extra dog therefore leads to a fall in price by $2.75. For eight dogs, Yoona would charge:
= 40 - (7 x 2.75)
= 40 - 19.25
= $20.75
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Naomi is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?
After 4 hours of driving, there will be 3 gallons of gas left in the tank. After t hours,10 - 0.75t of gas will still be present.
Describe algebra.Algebra is the study of mathematical symbols, and logic is the manipulation of those symbols.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To solve the equation properly and accurately, this rule is applied.
Naomi is traveling by car a long distance. She has 10 gallons of gas in her automobile right now. Her car consumes 0.75 of gas per hour that she is on the road.
After four hours of driving, the amount of gas in the tank will be
⇒ 0.75 x 4
= 3 gallons
After t hours, the amount of gas remaining will be
⇒ 10 - 0.75t
After 4 hours of driving, there will be 3 gallons of gas left in the tank. After t hours, there will be 10 - 0.75t of gas left.
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Is this right?
Look at this graph.
What is the equation of the line in slope-intercept form?
Answer:
I think the answer is (3,10) sorry if I got this wrong!
Step-by-step explanation:
How do I find simple interest? I am currently working on a CYU that requires this information. Thank you!
think of all the things s you like
(5 points) use coordinate vectors to test the linear independence of the sets of polynomials. do they form a basis for the space of polynomials of third degree? why or why not? explain your work.
The linear independence of vector sets forms the basis of the space of polynomials of third degree.
In vector space theory, a collection of matrices is said to be heavily dependent if there is a nontrivial concatenation of the vectors that equal the zero vector. If no such linear combination exists, the vectors are said to be linearly independent. These concepts are crucial to the concept of dimension.
The maximum number of nonzero vectors determines whether the dimensions of a vector space are finite or infinite. The capacity to recognize whether a subset of columns in a vector space is dependent, as well as the concept of linear dependence, are crucial for determining a vector space's dimensionality.
If the same vector appears twice in a vector sequence, it must be dependent. The linear dependency of a vector series is independent of the order of the terms. A restricted collection of vectors can have linear independence if the sequence obtained by sorting a finite number of lines is linearly independent. In other words, the following outcome is frequently useful.
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The area of a circle is 25 pi ft 2.
Are the triangles similar? If so write the similarity statement and state which postulate allows them to be similar and why.
The Triangles are not similar as they do not predict any similar triangle properties that is SSS, SAS , AA properties.
What are the triangle similarity criteria?Two triangles are similar if they meet one of the following criteria.
AA: Two pairs of corresponding angles are equal.
Example: Let Two triangles with Two angles of the first triangle are congruent to two angles of the second triangle.
SSS: Three pairs of corresponding sides are proportional.
Example: Let Two triangles with The first triangle has sides of length a, b, and c. The second triangle has corresponding sides of length k times a, k times b, and k times c.
SAS: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
Example: Let Two triangles with both have one congruent angle. In the first triangle, the congruent angle is between sides of length a and b. In the second triangle, the congruent angle is between corresponding sides of length k times a and k times b.
So, We have given that
Two Triangles namely ABC and DEF
So, For ΔABC,
∠A = 105°, ∠C=34°, ∠B= 180-(105+34)=180-139=41°
Now Similarly for ΔDEF,
∠E = 105°, ∠D=43°, ∠F= 180-(105+43)=180-148=32°.
So, For both triangles
∠A~∠E but no other similar property found between the both Triangle.
So, we can conclude that the ΔABC and ΔDEF are not similar as they don't show any similar triangle properties.
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Give the domain and range of each relation below. (help please)
Answer:
Domain is (-infinity, infinity), range is (-infinity, 0]
Step-by-step explanation:
The x values are infinite on both sides, but the y values are not. Let me know if you want me to explain more :)
Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.24% simple interest for one year.
The interest earned by Ryan is $131.44 and the interest earned by Brian is $32.86 .
In the question,
it is given that
amount deposited by Ryan = $775
time for which the amount is deposited = 4 years
rate at which the amount is deposited = 4.24%
So the simple interest = (p*r*t)/100
= (775 * 4.24*4 ) /100
= 13144/100
= 131.44
amount deposited by Brian = $775
time for which the amount is deposited = 1 years
rate at which the amount is deposited = 4.24%
So the simple interest = (p*r*t)/100
= (775 * 4.24 * 1 ) /100
= 3286/100
= 32.86
Therefore , the interest earned by Ryan is $131.44 and the interest earned by Brian is $32.86 .
The given question is incomplete , the complete question is
Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.24% simple interest for one year. Find the interest earned by both Ryan and Brian ?
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This shape is made up of one half-circle attached to a square with side lengths 11 inches. You can use 3.14 as an approximation for π. help i don't know it
The approximate perimeter of the entire shape is 50.27 inches.
How to find the perimeter of a figure?The perimeter of a figure is the sum of the whole sides of the figure.
Therefore, the perimeter of the entire shape can be calculated as follows:
The shape is made of three sides of a square and half a circle.
Therefore,
circumference of the semi circle = πr
r = 11 / 2 = 5.5 inches
circumference of the semi circle = 5.5π
Hence,
perimeter of the shape = 11 + 11 + 11 + 5.5π
perimeter of the shape = 33 + 5.5(3.14)
perimeter of the shape = 33 + 17.27
Therefore,
perimeter of the shape = 50.27 inches
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