Answers
The image point of the given parent point (-8,-6) after the transformation R 90° and T-4,-4 is (10, -12).
What is a meaning of the term transformation?When one figure is relocated from one place to the next without altering its structure, shape, or orientation, a transition known as translation takes place. If we are aware of the direction and magnitude of the figure's movement, we may draw the translation in the coordinate plane.For the given question.
Let the given point be;
P --> (-8, -6)
Translation the function by T-4,-4.
P'--> (-8 - 4, - 6-4)
P'--> (-12, - 10)
Now, rotation the function by 90 degrees.
The new coordinates be-
P' (x, y) ----> P''(-y, x)
P''(-y, x) = (10, - 12)
Thus, the image point of the given parent point (-8,-6) after the transformation R 90° and T-4,-4 is (10, -12).
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Related Questions
How much greater is the sum of the first 50 counting numbers greater than the sum of the first 100 counting numbers?.
Answers
The difference between the sum of the first 50 counting numbers and the sum of the first 100 counting numbers is 3775.
Here we have to find the difference between the first 50 counting numbers and first 100 counting numbers.
Formula to find the sum of the number n is:
[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)
a = first number of the series
d = common difference
n = number of series
Sum of first 50 counting numbers:
[tex]S_{50}[/tex] = 50/2( 2× 1 + (50-1) 1)
= 25 × 51
= 1275
Sum of first 100 counting numbers:
[tex]S_{100}[/tex] = 100/2 ( 2×1 + (100- 1) 1)
= 50 × 101
= 5050
Now the difference between them:
[tex]S_{100}[/tex] - [tex]S_{50}[/tex] = 5050 - 1275
= 3775
Therefore the difference is 3775.
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A parabola can be drawn given a focu of (−3,−3) and a directrix of x=5. Write the equation of the parabola in any form
Answers
The equation of the parabola is x = -1/16([tex]y^{2}[/tex]+6y-7).
According to the question,
We have the following information:
A parabola can be drawn given a focus of (−3,−3) and a directrix of x=5.
Now, let's take (x,y) to be the points of parabola.
So, we have the following expression:
Distance between (-3,-3) and (x,y) = Distance between (x,y) and x = 5
Distance between (x,y) and x = 5 will be Ix-5I
Now, we will use distance formula to solve this expression further.
[tex]\sqrt{(y+3)^{2}+ (x+3)^{2} }= (x-5)} }[/tex]
Squaring on both sides of the equation:
[tex]{(y+3)^{2}+ (x+3)^{2} }= (x-5)^2} }[/tex]
[tex]y^{2}[/tex]+9+6y+[tex]x^{2}[/tex]+9+6x = [tex]x^{2}[/tex]+25-10x
[tex]y^{2}[/tex]+6y+6x+18-25+10x = 0
[tex]y^{2}[/tex]+6y+16x-7 = 0
16x = [tex]-(y^{2}[/tex]+6y-7)
x = -1/16([tex]y^{2}[/tex]+6y-7)
Hence, the equation of the parabola is x = -1/16([tex]y^{2}[/tex]+6y-7).
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solve for x 48= x/2 Simplify your answer as much as possible.
Answers
x⁴⁸ = x/2
Multiply to remove the fraction, then set equal to
0
and solve.
Exact Form:
x
=
0
,
1
47
√
2
Decimal Form:
0,0.98536040
Find the constant rate of change and interpret its meaning a complete sentence. 
Answers
The constant rate of change of the altitude of the Hawk is -10 ft/s. The meaning of the -10 ft/s rate of change in altitude is the hawk is diving vertically down towards the prey with a speed of 10 feet per second
What is the rate of change of a function?The average rate of change of a function is the rate at which the output values of the function changes with regards to the change in the argument of the function.
A function that has a constant rate of change is a linear function.
The rate of change of a linear function or equation that gives a straight-line graph is found from the slope, m, of the function.
The formula for the slope of a function, using the points (x₁, y₁), and (x₂, y₂), is presented as follows;
[tex]Slope, \, m = \dfrac{y_2-y_1}{x_2- x_1}[/tex]
The points on the graph are; (x₁, y₁) = (3, 60) and (x₂, y₂) = (6, 30)
Which gives;
[tex]Slope, \, m = \dfrac{30\, ft-60 \, ft}{6\, s- 3\, s} = -10 \, ft/s[/tex]
The constant rate of change of the the function in the graph is -10 feet per secondThe meaning of the constant rate of change of -10 feet per second is that the Hawk is diving towards the prey at a rate of decrease of altitude of 10 ft/sLearn more about the rate of change of a function here:
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a box contains 12 batteries of which 6 are still working. anne starts picking batteries one at a time from the box and testing them. find the probability that she has to pick 5 batteries in order to find one that works.
Answers
The probability that she has to pick 5 batteries in order to find one that works is 5/12.
What is probability?
Probability shows the likelihood of an event happening. it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1
Probability P=no. outcomes/total no. of the possible outcomes
From the question;
No of out comes=5
No. of total possible outcome=12
Therefore probability P= 5/12
P=5/12
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Q.57 help me please please pleaseeee
Answers
The value of the expression are as follows
30-218How to solve an expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.
Let's solve the expression by substituting the actual values of the variables.
a.
5x when x = 6
5x = 5(6) = 30
b.
3y when y = -7
3y = 3(-7) = -21
c.
10z when z = 0.8
10z = 10(0.8) = 8
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Melissa was able to do 25 sit ups in 30 seconds if she keeps at the same rate approximately how many set ups come out to complete is 150 seconds
Answers
Answer:
125
Step-by-step explanation:
150/30=5
25x5=25
Three of five baseketball players scored more than 10 points. What percent of the players scored more than 10 points?
Answers
60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Three of the five basketball players scored more than 10 points.
Total number of basketball players = 5
The number of players who scored more than 10 points = 3
In fraction:
= 3/5
= 0.6
To convert the above fraction into the percentage multiply it by 100:
= 0.6x100
The percent of the players scored more than 10 points = 60%
Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.
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if measurements are made on four different days, find the level such that there is probability only 0.02 that the mean glucose level of four test results falls above for shelia's glucose level distribution. what is the value of ?
Answers
For the value of L = 144.48, the probability of having L greater than the mean glucose level of Shelia is 0.02.
Here it is given that Sheila's glucose level follows a normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl
L is the patient's blood test level.
It is given that the probability that the mean glucose level i.e 128 mg/dl is above L is 0.02.
We need to find L
We know
P(128>L) = 0.02
or, 1 - P(128 ≤ L) = 0.02
or, P(128 ≤ L) = 0.98
We know that for any Normal distribution we find the probability by converting it to standard form and then checking the p-value.
P(X < x) = Φ[(x - μ)/σ]
where,
μ = mean
σ = standard deviation
Therefore,
Φ[(L - 128)/8] = 0.98
we see that for a Z score of 2.06,
Therefore we get
(L - 128)/8 = 2.06
or, L - 128 = 16.48
or, L = 128 + 16.48
= 144.48
Therefore, the value of L would be 144.48
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Complete Question
Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl. Let L denote a patient's glucose level.
If measurements are made on four different days, find level L such that there is a probability of only 0.02 that the mean glucose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L?
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geometry parallelogram prac.
Answers
Answer: Sir would you like me to give you an example to this or answers??
Step-by-step explanation:...
in order to estimate the mean 30-year fixed mortgage rate for a home loan in the united states, a random sample of 28 recent loans is taken. the average calculated from this sample is 5.25%. it can be assumed that 30-year fixed mortgage rates are normally distributed with a population standard deviation of 0.50%. compute 90% and 99% confidence intervals for the population mean 30-year fixed mortgage rate. (you may find it useful to reference the z table. round your final answers to 2 decimal places. enter your answers as percentages, not decimals.)
Answers
The 90% confidence interval is (5.09% , 5.41%) and the 99% confidence interval is (52.24% , 52.76%) .
In the question ,
it is given that ,
number of sample of loans taken = 28
the average of the sample is = 5.25%
the standard deviation of the normally distributed population is 0.5 %
The formula to find the Confidence Interval (CI) for the population mean is written as
[tex]\bar{x}[/tex] ±[tex]t_{n-1} , _{\alpha /2} \frac{\sigma}{\sqrt{n} }[/tex]
it is given that the 30 year fixed mortgage rates are normally distributed .
the sample size (n) = 28
Since sample size is less than 30 , the t - test is applied .
Sample mean ( [tex]\bar{x}[/tex] ) = 0.0525
the standard deviation (σ) = 0.005
the significance level : α = 1 - 0.90 = 0.1
critical value = [tex]t_{n-1} , _{\alpha}[/tex] = [tex]t_{27} , _{0.05}[/tex] = 1.703
So , 90% confidence interval will be :
= 0.525 ± (1.703)×(0.005/√28)
≈ 0.0525 ± 0.0016
= (0.0525 - 0.0016 , 0.0525 + 0.0016)
= (0.0509 , 0.0541)
= (5.09% , 5.41%)
For the 99% confidence interval ,
the significance level : α = 1 - 0.99 = 0.01
critical value = [tex]t_{n-1} , _{\alpha}[/tex] = [tex]t_{27} , _{0.005}[/tex] = 0.2771
So , 99% confidence interval will be :
= 0.525 ± (0.2771)×(0.005/√28)
≈ 0.0525 ± 0.00026
= (0.0525 - 0.00026 , 0.0525 + 0.00026)
= (0.05224 , 0.05276)
≈ (52.24% , 52.76%)
Therefore , The 90% confidence interval is (5.09% , 5.41%) and the 99% confidence interval is (52.24% , 52.76%) .
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What is the absolute value of a BI?.
Answers
The distance between the complex plane's origin (0, 0) and the point (a, b) is what is known as the absolute value of a complex number, a+bi (also known as the modulus).
What is absolute value?Without taking into account direction, absolute value defines how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A number's absolute value is determined by how far it is from zero on the number line. For instance, the absolute value of -7 would be 7, as it is 7 units away from zero. Additionally, since 0 is 7 units distant, the value of 7 would likewise be 7.
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Find the perimeter and area of the triangle.
The perimeter = yds. The area = yd2
Answers
Step-by-step explanation:
perimeter:
74 + 74 + 48 = 196 yd
area:
48/2=24
√74^2+√24^2 = 77.79 (2dp)
77.79 x 48 = 3734.14
3734.14/2=1867.07yd^2
EX1. Prints It charges $2.25 per box of business
cards plus a $11.25 shipping cost. We Print it
Better charges $3.50 per box but has free
shipping. How many boxes would you have to
order for the price for both printing companies
to be the same?
Answers
Answer:
[tex]5x {}^{2} - 5y { = }0 [/tex]
What is the 41st term of the sequence 8, 10, 12, 14,... ?
88
41
322
90
Answers
Answer:
Step-by-step explanation:
We will find the 41st term of the given arithmetic sequence is equal to 88.
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
15
2
O
O
O
0
2
22
24
Answers
By using the concept of slope, it is obtained that
Slope of the required trend line is [tex]\frac{22}{9}[/tex]
What is slope of a line?
Slope of the line is the tangent of the angle that the line makes with the positive direction of x axis
If the angle is [tex]\theta[/tex], the slope of the line is given by
[tex]m = tan\theta[/tex]
If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), then the slope of the line is given by
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
The line passes through (1, 3) and (10, 25)
[tex]x_1 = 1, y_1 = 3, x_2 = 10, y_2 = 25[/tex]
Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}\\[/tex]
= [tex]\frac{25 - 3}{10 - 1}[/tex]
= [tex]\frac{22}{9}[/tex]
Slope of the required trend line is [tex]\frac{22}{9}[/tex]
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Denity i meaured in unit of ma per unit of volume. It can be thought of a a unit rate. The ma off a block of aluminum i 9. 45 gram. The volume i 3. 5 cubic centimeter. What i the denity of the aluminum?
Answers
The density of the metal will be 2700 kilograms per cubic meter.
The quantity of molecules in a given volume is referred to as density. Kg/m2 is the unit of measurement for density. density is a scalar quantity. Higher densities result in more molecules being present in a given volume. After that, the density is given as,
Volume / Mass equals density.
A chunk of metal weighs 9.45 grams. 3.5 cubic centimeters of volume.
The density of the aluminum is then specified as,
D = 9.45 / 3.5
In grams per cubic centimeter, D = 2.7.
2700 kilograms per cubic meter is the same as D.
The density of the aluminum will be 2700 kilograms per cubic meter.
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Drag the ordered pairs to match the points shown on the coordinate grid. A coordinate plane has an x-axis from 0 to 9 in increments of 1 and a y-axis from 0 to 9 in increments of 1. Point A is plotted 3 units to the right and 6 units above the origin. Point B is plotted 2 units to the right and 3 units above the origin. Point C is plotted 4 units to the right and 2 units above the origin. Point D is plotted 6 units to the right of the origin. (6, 0)(3, 6)(4, 2)(2, 3) Point Coordinates A B C D
Answers
Answer:
the answer is 3,6 6,0 2,3 4,2 that is the answer :)
Step-by-step explanation:
becuase that is the answer
Write the equation of the
line passing through (5,3)
that has a slope of 1/2.
A) Mrs. Reynolds y = 1/2x + 1/2
B) Mr. Preston y = 1/2x + 5/2
C) Coach Taylor y = -1/2x + 11/2
D) Ms. Greene y = 1/2x + 2
E) Mr. Moulden y = -2x + 13
Answers
Answer: The correct answer is A) Mrs. Reynolds y = 1/2x + 1/2
Step-by-step explanation:
In the slope-intercept form of y=mx+b, m=the slope of the line
Therefore, y=1/2x + 1/2 has a slope of 1/2
As noted in the graph below, it is the only option listed that also intersects the point (5,3).
Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee with six members, if it must have the same number of men and women?.
Answers
A department needs to choose six members consists of 3 women and 3 men from 10 men and 15 women. The number of ways it can be selected is 54,600.
If r persons need to be selected from total n members and the order does not matter, the number of ways it can be selected is calculated using the combination formula:
ⁿCr = n! / [(n-r)! r!]
Data from the problem:
Total man = 10
Man to be chosen = 3
Total woman = 15
Woman to be chosen = 3
Hence,
The number of ways men can be selected = ¹⁰C₃ = 10! /(3! 7!)
= 120
The number of ways women can be selected = ¹⁵C₃ = 15! /(3! 12!)
= 455
The number of ways men and women selected:
= ¹⁰C₃ x ¹⁵C₃
= 120 x 455 = 54,600 ways
Hence, the number of ways the members can be selected = 54,600 ways.
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Bro this is so weird. If Jayden has 19 dollars and idek
Answers
Answer:
if i have 19
Step-by-step explanation:
Xavier buys 18 bottles of orange juice at the corner store for a total cost of $14.04. If each bottle costs the same amount, how much is each bottle of juice?
Answers
The cost of each bottle of orange juice is 0.78 dollars.
How to find the cost of each bottle of orange juice?Xavier buys 18 bottles of orange juice at the corner store for a total cost of $14.04. Each bottle costs the same amount.
Therefore, the cost of each bottle of orange juice can be found as follows:
cost of each bottle of orange juice = total cost of the whole orange juice / number of orange juice bought
cost of each bottle of orange juice = 14.04 / 18
Therefore,
cost of each bottle of orange juice = $ 0.78
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how much will $2000 grow at 8% p.a. compound interest after 4 years?
Answers
Answer:
$1,480.24
Step-by-step explanation:
An investment of $1,000 made today will be worth $1,480.24 in five years at interest rate of 8% compounded semi-annually.
A printing error in a math book removed the bracket and parenthee from a numerical expreion rewrit experion 3 to the econd power plu even time four plu five
Answers
Rewriting the expression with bracket and parentheses in numerical expression is: [(3^2 + 7) * 4] + 5.
In numerical expression, the brackets and parentheses are mathematical symbols that are used in pairing the group things together or specify the order of operations. These are used in creating or solving equations, helping in grouping numbers and defining the order of operations. Parentheses are curved ( ), brackets are square [ ], and braces are curly { }. In indicating the order of operations, the innermost parentheses are calculated first, followed by the brackets (which form the next layer), followed by braces (which form a third layer outwards).
The given expression written with parentheses and brackets to be equivalent to 69 is:
[(3^2 + 7) * 4] + 5
[(9 + 7) * 4] + 5
[16 * 4] + 5
64 + 5
69
Note: The question is incomplete: The complete question is A printing error in a math book removed the brackets and parentheses from a numerical expression. Rewrite the expression 32 + 7 x 4 + 5 with parentheses so that it is equivalent to 69.
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What is the y-intercept of the line 6x – 9y = 18?
(0, -2)
(0, 3)
(3, 0)
(-2, 0)
Answers
Answer:
(0, -2)
Step-by-step explanation:
What is the y-intercept of the line 6x – 9y = 18?
(0, -2)
(0, 3)
(3, 0)
(-2, 0)
You need to solve for y:
6x – 9y = 18
6x – 9y - 6x = 18 - 6x
– 9y = 18 - 6x
– 9y/-9 = 18/-9 - 6x/-9
y = - 2 + 2/3x
or:
y = 2/3x - 2
y-intercept is: (0 , -2)
Answer:
(0, - 2 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
6x - 9y = 18 ( subtract 6 from both sides )
- 9y = - 6x + 18 ( divide through by - 9 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with y- intercept c = - 2 , that is (0, - 2 ) in coordinate form
if you want to figure out how much box office revenue each genre earned, which function in the values menu would you use to summarize the data?
Answers
The function in the values menu would you use to summarize the data is SUM
Because
I would use the SUM function to figure out how much box office revenue each genre earned. In the pivot table, the SUM function would add the total revenue separately for each genre.
This function, as clear from the name, is used to add all the values provided as arguments and to display the result in the cell-containing function. Argument Type All Numbers Return Type Number. Syntax = SUM(number 1 , number2, ).
The SUM function will sum hardcoded values and numbers that result from formulas. If you need to sum a range and ignore existing subtotals, see the SUBTOTAL function.
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There are 3 black markers in a bin. Given the probability that a marker selected at random is black, how many markers are in the box? (use only the digits 0 - 9 to write the value. ).
Answers
There are total 18 markers in the box.
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -
P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
Given is that there are 3 black markers in a bin. The probability that a marker selected at random is black is -
P(black marker) = 1/6
Assume that there are [x] markers in the box. Then, we can write -
P(black marker) = 3/x
1/6 = 3/x
x = 18
Therefore, there are total 18 markers in the box.
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The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?
y = (x + 8)(x + 3)
y = (x + 4)(x + 6)
y = (x + 9)(x + 2)
y = (x + 7)(x + 4)
Answers
Ax^2 +Bx + C
x^2 +11x +24
Using the number in place of C gives us what values could be inside the brackets.
For 24 the multiples are
1 and 24
2 and 12
3 and 8
4 and 6
We want the one that can add or subtract to give the number in place of B, which is 11.
The only multiples that add to 11 are 3 and 8
Therefore we know that 8 and 3 need to be in the brackets.
Giving us (x+8)(x+3)
Tom bought 3 T-shirts at a sale price of $14.50. If he saved up $2.47 because of the sale, what would be the percentage of the money he saved?
Answers
Tom saved 14.55% money in this sale.
Given that the sale price of 3 T shirts is $14.50.
And Tom saved in this sale $2.47.
So original selling price of that 3 T shirts is = 14.50+2.47 = 16.97
So the percentage of savings = (2.47/16.97)*100% = 14.55% (approximately)
Hence he saved approximately 14.55% in this sale.
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A circular arc has measure and is intercepted by a central angle of radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.
Answers
A circular arc has measure and is intercepted by a central angle of radians.
The radius (r) of circle is 1.91 m
Here given data :
• circular arc (s) = 5 cm
• Angel (A) = 5π/6
We know that the following formula is,
Length arc = radius × angel
=> Radius (r) = Length / angel
=> Radius (r) = 5 m / (5π /6)
=> Radius (r) = ( 5 × 6 / 5π ) m
=> Radius (r) = 6/π m
=> Radius (r) = 1.91 m
Therefore, radius of the circle is 1.91 m.
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