Please solve the question. I am leaving but I will refer the answer typed by you teacher tomorrow, as I am going to sleep. Bit please solve.
To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x)
Step 1
[tex]\begin{gathered} Preimage\text{ of }triangle\text{ ABC} \\ A(1,3) \\ B(2,1) \\ C(1,1) \end{gathered}[/tex]Step 2
The new ordered pair of the image after rotation
[tex]\begin{gathered} \Delta A^{\prime}B^{\prime}C \\ A^{\prime}(3,-1) \\ B^{\prime}(1,-2) \\ C(1,-1) \end{gathered}[/tex]Step 3
Image of the coordinateStep
Step 4
Label of the points
how do you tun the area of a rectangle into its side lengths?
In order to find what factors could represent the length and the width, we need to factor the polynomial that represents the area.
To do so, first let's find the zeros a1 and a2, then we can factor as follows:
[tex]k(a-a_1)(a-a_2)[/tex]Where k is the coefficient of the quadratic term (so k = 12).
Using the quadratic formula, we have:
[tex]\begin{gathered} 12a^2+4a-5=0 \\ a_{}=\frac{-4+\sqrt[]{4^2-4\cdot12\cdot(-5)}}{2\cdot12} \\ a_1=\frac{-4+16}{24}=\frac{1}{2} \\ a_2=\frac{-4-16}{24}=-\frac{5}{6} \end{gathered}[/tex]Then, we have:
[tex]\begin{gathered} 12(a-\frac{1}{2})(a+\frac{5}{6}) \\ =(2a-1)(6a+5) \end{gathered}[/tex]Therefore the factors are 2a-1 and 6a+5.
What is the missing perfect square in this list?
81, 100, 121, ____, 169
A. 125
B. 160
C. 12
D. 144
Answer:
d 144
Step-by-step explanation:
Each number is the square starting with 10
10² = 100
11² = 121
12² = __?
13²=169
Members of a softball team raised $1186.50 to go to a tournament. They rented a bus
for $842.50 and budgeted $21.50 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
The equation to determine the number of players the team can bring is $842.50 + $21.50y = $1,186.50
The team can bring 16 players to the tournament.
To go to a tournament, softball team members raised $1186.50 and rented a bus for $842.50, and the cost of meals of each player is $21.50.
Let y represent the number of players.
$842.50 + $21.50 × y = $1,186.50
$842.50 + $21.50 × y = $1,186.50
$842.50 + $21.50y = $1,186.50
Subtracting $842.50 from each side.
$21.50y = $1,186.50 - $842.50
$21.50y = $344
Divide both side of the equation by $21.50.
x = $344 / $21.50
x = 16 players
As a result, the team is allowed to enter 16 players into the competition.
Learn more about equation here:
https://brainly.com/question/2972832
#SPJ1
2. Ying sees this flyer. She decides to buy 12 of these boxes for her shoes. What total volume will these boxes occupy in her closet?
Step 1. Find the volume of just one box.
To find the volume V of one box, we multiply all of the dimensions of the box:
In this case, the volume of one box is:
[tex]V=29.5cm\times18cm\times9.5cm[/tex]The result is:
[tex]V=5,044.5cm^3[/tex]Step 2. We are told that Ying bought 12 boxes, so the total volume that the boxes occupy will be the volume of one box multiplied by 12:
[tex]12\times5,044.5cm^3=\boxed{60,534cm^3}[/tex]Answer:
[tex]\boxed{60,534cm^3}[/tex]Find the area of the polygon with the given vertices.
X(-1, 2), Y(-1, -3), Z(4, -3)
square units
Check the picture below.
f(x)=4x+6 and g(x)=1/2*f(x) What is the function rule for function g?
g(x) = _________________ x+ _____________________
g(x) is a dilation of scale factor 1/2 of f(x), and the rule is:
g(x) = 2x + 3
What is the rule for function g?
Here we have the function f(x) = 4x + 6 and the function g(x) that is defined as:
g(x) = (1/2)*f(x)
So g(x) is a vertical dilation of scale factor k = 1/2 of f(x).
Replacing f(x) in there we get:
g(x) = (1/2)*(4x + 6) = (4/2)*x + 6/2 = 2x + 3
The rule for g is:
g(x) = 2x + 3
Learn more about vertical dilations:
https://brainly.com/question/3457976
#SPJ1
Hello I need help please :)
Given: The system of equations below...
[tex]\begin{gathered} y=2x-2 \\ -4x-y=26 \end{gathered}[/tex]To Determine: The value of x and y
Using substitution method, Substitute for y in the second equation
[tex]\begin{gathered} -4x-y=26 \\ -4x-(2x-2)=26 \\ -4x-2x+2=26 \\ -6x=26-2 \\ -6x=24 \\ x=\frac{24}{-6} \\ x=-4 \end{gathered}[/tex]Substitute for x in the first equation to solve for y
[tex]\begin{gathered} y=2x-2 \\ y=2(-4)-2 \\ y=-8-2 \\ y=-10 \end{gathered}[/tex]ence,
x = -4; y = -10
G
PLSSSS HELP Which number is not in the correct location?
We can conclude that the position of the number -7 in the provided Venn diagram is incorrect as -7 is an integer but, not a whole number.
What are whole numbers?Any positive number that does not contain a fractional or decimal component is referred to as a whole number. The numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers, for instance, as a result. -3, 2.7, or 3 12 are examples of non-whole numbers.Integers:
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers.As we can read the definitions whole numbers do not include negative numbers and integers do include negative numbers, so we can conclude that the number -7 in the given Venn diagram is not in the correct location.
Therefore, we can infer that the position of the number -7 in the provided Venn diagram is incorrect as -7 is an integer but, not a whole number.
Know more about whole numbers here:
https://brainly.com/question/23692915
#SPJ9
What is the correct answer
1) [tex]m\angle A=76^{\circ}[/tex] (given)
2) [tex]m\angle B=76^{\circ}[/tex] (base angles theorem)
3) [tex]m\angle BCA=28^{\circ}[/tex] (sum of angles in a triangle)
4) [tex]m\angle ECD=28^{\circ}[/tex] (vertical angles)
5) [tex]m\angle DEC=90^{\circ}[/tex] (perpendicular lines)
6) [tex]m\angle D=62^{\circ}[/tex] (sum of angles in a triangle)
Determine a, b, c ∈ N*, different two by two, so that: [tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{c}[/tex] is an integer
Using a system of equations, a possible set of values for a, b and c such that it results in an integer number is given by:
a = 6, b = 3, c = 2.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.
In the context of this problem, the variables are the given ones of:
a, b and c.
An integer number is a number that has no decimal part, hence the easiest way to solve this is making the sum of 1.
Attributing a = 6, we have that:
[tex]\frac{1}{6} + \frac{1}{b} + \frac{1}{c} = 1[/tex]
[tex]\frac{1}{b} + \frac{1}{c} = \frac{5}{6}[/tex]
This is possible with these two fractions:
[tex]\frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6}[/tex]
Hence the other possible values are given by:
b = 2, c = 3.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Find the scale factor from triangle A to triangle B:
From the figure of triangles, scale factor of A and B, the value of x = 3
According to the question, given that
when two triangle are same, then we easily get missing value x
From the figure, two triangle are similar in it thus,
[tex]\frac{x}{1}[/tex] = [tex]\frac{9}{3}[/tex] {property of triangles which are similar}
x = [tex]\frac{9}{3}[/tex] .
x = 3
Therefore, we get scale factor of triangle A and B, the missing value of missing x = 3.
What is a Scale Factor?Scale factor is the proportion of an original object's scale to a new one that is a representation of it but is a different size (bigger or smaller).
For example, if we have a rectangle of sides 4 cm and 6 cm, we can enlarge it by multiplying each side by a number, say 4. The new figure we get will be similar to the original figure, but all its dimensions will be twice that of the original rectangle.
To learn more about scale factor visit here :brainly.com/question/22312172
#SPJ1
please help fast how do i what property do i need to solve this
h to the 3rd power g to the -7th power
Answer: the property needed to find this is negative exponents
Step-by-step explanation: find the reciprocal of g to the -7th power which would be 1 over g to the 7th power
What is 7,984 -9,151 =
Use front end rounding to round each number. Then add the rounded
numbers to get an estimated answer. Finally, find the exact answer.
35.25
197.39
+ 4.835
An estimated answer is 237.44 and the exact answer is 237.475.
The first number is 35.25.The second number is 197.39.The third number is 4.835.We need to use front end rounding to round each number and then add the rounded numbers to get an estimated answer.First, look only at the whole numbers and add the digits.35 + 197 + 4 = 236Next, look at the decimals and round them.0.25 is approximately equal to 0.2.0.39 is approximately equal to 0.4.0.835 is approximately equal to 0.84.Add the rounded decimals.0.2 + 0.4 + 0.84 = 1.44Now add the whole number part and the decimal part together.236 + 1.44 = 237.44An estimated answer is 237.44.Now we will calculate exact answer :35.25 + 197.39 + 4.835 = 237.475The exact answer is 237.475.To learn more about rounding off numbers, visit :
https://brainly.com/question/13391706
#SPJ1
What’s the correct answer answer now for brainlist better he right
Answer:
they filter the air coming into the body
Find the value of p in the inequality.
three fourths times p plus 8 is greater than or equal to 3
p is greater than or equal to negative twenty over three
p is less than or equal to negative twenty over three
p is greater than or equal to negative forty four over three
p is less than or equal to negative forty four over three
Value of p for given inequality of three fourths times p plus 8 is greater than or equal to 3 is p is greater than or equal to negative twenty over three.
As given in the question,
Given inequality:
Three fourths times p plus 8 is greater than or equal to 3 is written as
(3/4)p + 8 ≥ 3
Simplify inequality to get the value of p
(3p + 32)/4 ≥ 3
⇒ 3p + 32 ≥ 12
⇒ 3p ≥ 12 -32
⇒ 3p ≥ -20
⇒ p ≥ -20 /3
Therefore, value of p for given inequality of three fourths times p plus 8 is greater than or equal to 3 is p is greater than or equal to negative twenty over three.
Learn more about inequality here
brainly.com/question/28823603
#SPJ1
A 7ft board is cut into 2 pieces. If one piece is x feet long, express the other length in terms of x
Answer:
7-x
Step-by-step explanation:
If one piece is x, and the whole is 7, the missing piece would be 7-x
Hope this helps :)
Use the drawing tool(s) to form the correct answers on the provided graph. F(x)=(x^4-16)(x^4+3x-18) Find the real zeros of the following function, and plot them on the graph.
The real zeros of the following function [tex]$\quad f(x)=\left(x^4-16\right)\left(x^2+3 x-18\right)$[/tex] are
2,-2,3,-6, and the graph is attached below
This is further explained below.
What are the Zeros?[tex]$\quad f(x)=\left(x^4-16\right)\left(x^2+3 x-18\right)$[/tex]
as we know the formula a^2-b^2=(a-b)(a+b)
[tex]\begin{aligned}x^4-16 &=\left[\left(x^2\right)^2-(4)^4\right]=\left(x^2-4\right)\left(x^2+4\right) \\&=\left((x)^2-(2)^2\right)\left(x^2+4\right) \\x^4-16 &=(x-2)(x+2)\left(x^2+4\right)\end{aligned}[/tex]
substituting it in equation (1) we get.
[tex]\begin{gathered}f(x)=(x-2)(x+2)\left(x^2+4\right)\left(x^2+3 x-18\right) \\\\\left(x^2+3 x-18\right)=x^2+6 x-3 x-18=x(x+6)-3(x+6) \\\\f(x)=(x-2)(x+2)(x-3)(x+6)\left(x^2+4\right) \\\\x^2+4=(x+2 i)(x-2 i)=\left[(x)^2-(2 i)^2\right] \\\\f(x)=(x-2)(x+2)(x-3)(x+6)(x+2 i)(x-2 i)\end{gathered}[/tex]
Real zuoes =2,-2,3,-6
imaginary zuroes =2 i,-2 i
In conclusion, In the question, we have to answer the real zeroes of the function f(x)
which is 2,-2,3,-6
Read more about zeroes
https://brainly.com/question/28146711
#SPJ1
i need help with this please:-))
When two lines are perpendicular, their slopes have the following relation:
[tex]m_1=\frac{-1}{m_2}[/tex]If we rewrite this expression, we have:
[tex]m_1\cdot m_2=-1[/tex]The product of each slope is equal to -1.
Therefore the correct option is the fourth one.
Write a simplified expression for the right half of the equation that can be used to find the nth term in the sequence
Answer is;
[tex]a_n=3n[/tex][tex]\begin{gathered} \text{common difference (d) =6-3=3} \\ By\text{ formula, } \\ a_n=a+(n-1)d\text{ , where a=3} \\ a_n=3+(n-1)3 \\ a_n=3+3n-3 \\ a_n=3n \end{gathered}[/tex]Choose the graph that represents the following set.
the whole numbers greater than 3
O
1 2 3 4 5 6 7 8 9 ...
-1 0 1 2 3 4 5 6 7
1011H
0 1 2 3 4 5 6 7 8
Answer:
option 3
It has a zero a set of whole no has 0 in it and it start after the no 3 as it says GREATER then 3.
The support arm, AB, is
perpendicular to a line tangent to this curve on a roller coaster at the point of tangency B.
The equation of the tangent line to the curve at B is 3x + 2y = 28.
Find the equation of the support arm, AB.
B(4,8)
Lines perpendicular to tangents to curves, at
the point of tangency, are referred to as “normals.”
Answer:
[tex]y = \dfrac{2}{3}x + \dfrac{16}{3}}[/tex]
Step-by-step explanation:
The genera slope-intercept equation of a line is
y = mx + 8 where m is the slope and b the y-interecept
A perpendicular line will have a slope = -1/m ie the negative of reciprocal of the first line such that m x (-1/m ) = -1
The equation of the tangent line is
3x + 2y = 28.
1. Convert to slope-intercept form:
Subtract 3x from both sidesSo slope = -3/2
Reciprocal of -3/2 = -2/3
Negative of reciprocal = +2/3
Slope of a perpendicular line should be -1/3 and the resultant equation of the line(the support arm) should be:
y = (2/3)x + b
To calculate b for the complete line equation plug in the point B(4, 8) and solve for B
y = 8 when x = 4
=> 8 = (2/3)(4) + b
Switch sides: (does not change any signs)
8/3 + b = 8
Subtract 8/3 on both sides
b = 8 - 8/3
b = 24/3 - 8/3
b = 16/3
So equation of the support arm is
[tex]\boxed{y = \dfrac{2}{3}x + \dfrac{16}{3}}[/tex]
What is the image point of (0,5)(0,5) after the transformation r_{y=x}\circ R_{180^{\circ}}r y=x ∘R 180 ∘ ?
The image of the point is (0, -5) after applying the geometric transformation, the answer is (0, -5).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The point is (0, 5)
As we know, the
The rule for the above transformation:
(x, y) → (-x, -y)
(0, 5) → (0, -5)
Thus, the image of the point is (0, -5) after applying the geometric transformation, the answer is (0, -5).
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ1
If f(x) = 2x + 1 and g(x) = x 7, find (++ g)(x). h
Therefore Option B is correct
Grant orders a $55 bouquet of flowers to be delivered to his sister. He pays the bill plus a 6.5% sales tax and a 15% tip on the total cost including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive to the nearest cent, if he pays the delivery driver with a $100 bill?
The change that Grant received to the nearest cent after giving the delivery driver with a $100 bill is $ 32.6.
This is a question of percentages.
Given that:-
Price of bouquet of flowers = $ 55
Sales tax % = 6.5 %
Tip % = 15 %
Delivery fee= $10
We have to find the change that Grant received to the nearest cent after giving the delivery driver with a $100 bill.
Sales tax = (6.5/100)*55 = $3.575
$55 + $3.575 = $58.575
Tip = (15/100)*58.575 = $ 8.78625
Total money paid by Grant = 55 + 3.575 + 8.78625 = $ 67.36125 ≈ $ 67.4
Hence,
Change received by Grant = 100 - 67.4 = $ 32.6
To learn more about percentages, here:-
https://brainly.com/question/14979505
#SPJ1
Help me with question 2, thank you!
Given the function f(x):
[tex]f(x)=3x^2-5x-4[/tex]We will find the point on the given parabola where the slope of the tangent is horizontal
The horizontal line has a slope = zero
The slope of the line is the first derivative of the function
So, we will find the first derivative and equate it to zero
[tex]\begin{gathered} f^{\prime}(x)=0 \\ 3(2x)-5(1)-(0)=0 \end{gathered}[/tex]solve the equation to find (x):
[tex]\begin{gathered} 6x-5=0 \\ 6x=5 \\ x=\frac{5}{6} \end{gathered}[/tex]substitute with the value of (x) into the given function to find the y-coordinate
[tex]y=3(\frac{5}{6})^2-5(\frac{5}{6})-4=\frac{-73}{12}[/tex]So, the answer will be the point will be as follows:
[tex](x,y)=(\frac{5}{6},\frac{-73}{12})[/tex]See the following figure:
PLSSS HELP MEEE
Classify quadrilateral RSTV. Support your answer by showing calculations.
The given quadrilateral RSTV is a kite.
What are quadrilaterals?The following characteristics apply to quadrilaterals, which are polygons.
It has four sides and four vertices surrounding four angles.A quadrilateral's interior angles add up to 360 degrees.To classify the quadrilateral calculate the length of its sides using the distance formula given as follows:
[tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
In the given quadrilateral RSTV,
RS = [tex]\sqrt{(2 - (-5))^{2} + (6 - 7)^{2} }[/tex] = [tex]\sqrt{50 }[/tex]
RV = [tex]\sqrt{(-4 - (-5))^{2} + (0- 7)^{2} }[/tex] = [tex]\sqrt{50}[/tex]
ST = [tex]\sqrt{(5 - 2)^{2} + (-3- 6)^{2} } = \sqrt{90}[/tex]
VT = [tex]\sqrt{(-3 - 0)^{2} + (5- (-4))^{2} } = \sqrt{90}[/tex]
The two adjacent sides of the quadrilateral are equal i.e. RS = RV and ST = VT.
A kite is a quadrilateral with two pairs of sides that are both the same length and are next to one another.
Therefore, the quadrilateral is a kite.
To know more about quadrilaterals visit:
https://brainly.com/question/12556704
#SPJ9
Please explain step by step I do not explain this,
The value of f(1/2) for the given function f(x) = -3(4x² + 12) + 3/4(8x) - 2x is: -37. (None of the options are correct).
How to Evaluate a Function?If given a function, to evaluate the function for a given value of x, input the value of x in the equation and solve to evaluate the function.
Given the function, f(x) = -3(4x² + 12) + 3/4(8x) - 2x, to find the value of f(1/2), substitute x = 1/2 into the equation:
f(1/2) = -3(4(1/2)² + 12) + 3/4(8(1/2)) - 2(1/2)
Evaluate
f(1/2) = -3(4(1/4) + 12) + 3/4(4) - 1
f(1/2) = -3(1 + 12) + 3 - 1
f(1/2) = -3(13) + 2
f(1/2) = -39 + 2
f(1/2) = -37
The value of the function f(1/2) is: -37. (none of the given options are correct).
Learn more about the evaluating functions on:
https://brainly.com/question/2284360
#SPJ1
Calculate your take-home pay (net pay) for the following situation. Gross Salary: $3,500 per month. You are paid once a month. Federal Income Tax Withholding = 20% of Gross Salary. State Income Tax Withholding = 12% of Gross Salary. Social Security Tax Withholding = 8.25% of Gross Salary. 401k Contribution = 4% of Gross Salary.
What is the amount of Federal Income Tax Withholding each month?
What is the amount of State Income Tax Withholding each month?
What is the amount of Social Security Tax Withholding each month?
What is the amount contributed to the 401k each month?
What is the net pay (take-home pay) each month?
What is the total take-home pay for a full-year?
Using proportions, the amounts are given as follows:
Federal Income Tax Withholding each month: $700.State Income Tax Withholding each month: $420.Social Security Tax Withholding each month: $288.75.Amount contributed to the 401k each month: $140.The take-home pay for the month is $1,951.25.The take-home pay for the year is $23,415.What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication or division.
One example of application is for percentage problems, as the equivalent amount can be found multiplying the equivalent decimal by the total amount.
The amount of Federal Income Tax Withholding each month is given by:
0.2 x 3500 = $700.
The amount of State Income Tax Withholding each month is given by:
0.12 x 3500 = $420.
The amount of Social Security Tax Withholding each month is given by:
0.0825 x 3500 = $288.75.
The amount contributed to the 401k each month is:
0.04 x 3500 = $140.
The take-home pay for the month is the $3,5500 subtracted by all the with holdings, hence:
3500 - (700 + 420 + 288.75 + 140) = $1,951.25.
A year has 12 months, hence the take-home pay for the year is given by:
12 x 1951.25 = $23,415.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1