The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
How to determine the image of the triangle when rotated?The vertices of the triangle are given as:
F = (-7,8)
G = (-1,1)
H = (-8,4)
The transformation rule is given as
270 degrees counterclockwise rotation
The rule of 270 degrees counterclockwise rotation is
(x,y) = (y,-x)
When the above rule is applied to the vertices of the triangle, we have:
F' = (8, 7)
G' = (1, 1)
H' = (4, 8)
Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
Read more about rotation at
https://brainly.com/question/26249005
#SPJ1
The roof and exterior walls of a house represent intersecting planes. Using the image, name all the lines that are formed by the intersecting planes. (i dont have the picture but if you know which question im talking about please help me)
In the possible diagram of the house, the lines formed by intersecting planes are; [tex] \overline{AG}[/tex], [tex]\overline{ AB}[/tex], [tex]\overline{AH}[/tex], [tex]\overline{GF}[/tex], [tex]\overline{ BH}[/tex], [tex]\overline{HF}[/tex], [tex]\overline{BC}[/tex], [tex]\overline{ HD}[/tex], and [tex]\overline{FE} [/tex]
What are the planes and the lines formed by them on the building?The diagram found in a similar question has points A, G, B, H, and F on the roof.
The points on the walls of the house are; B, H, F, C, D, and E
A plane in Euclidean geometry is a surface that is flat, such that a line that connects two points on it lie completely on the plane.
A plane can be identified by three non collinear points that lay on it.
A line is a figure that does not have a curvature, width or depth, and it is infinitely long.
The planes on the roof are; ABH and AGHF
The planes on the walls of the house are; BCDH, and HDCF
The lines that are formed by the intersecting planes are therefore;
On the roof;
[tex] \overline{AG}, \overline{ AB}, \overline{AH}, \: \overline{GF},[/tex]Between the roof and the walls of the house;
[tex]\overline{BH}, \overline{HF}[/tex]Between the two sides of the walls;
[tex] \overline{BC}, \overline{ HD}, \overline{FE} [/tex]Learn more about lines and planes in Euclidean geometry here:
https://brainly.com/question/2251564
https://brainly.com/question/24699506
https://brainly.com/question/27822259
#SPJ1
Solve 4x + 3y = 2 for y. Question 18 options: A) y = –4∕3x + 2∕3 B) y = –4x + 2 C)
Answer:
i think its answer is A or D
Answer:
y =2/3 =4/3x
Step-by-step explanation:
What is constant in the simplified form of (x - 6)²?
Answer:
36
Step-by-step explanation:
The constant is the number when complete simplified, which in this case would be only formed by squaring the 6, equaling 36.
Hope this helps! :)
Answer: +36
Step-by-step explanation:
(x - 6)² simplified: x^2 -12x + 36
The constant in this algebraic expression is 36 because it's value or number doesn't change in the expression (x^2 -12x + 36)
Select the correct answer.
Which expression is equivalent to 4x²√5x4 3√5x8, if x=0?
OA. 12x¹0 √5
OB. 60x8
OC.
35x18
O D. 7x¹⁰ √5
The expression 4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B
We have to simplify the given equation 4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] in order to find its equivalent
Which can be simplified using the basics of square and square roots
Square and square root gets cancelled for example [tex]\sqrt{x^{2} }[/tex] = x and powers get added when same bases are multiplied for example x² × x³ = [tex]x^{2+3}[/tex] =[tex]x^{5}[/tex]
Also √25 can be written as 5
At x = 0 the whole expression can be written as zero
4x² ×√[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex]
12x²×[tex]x^{2} \sqrt{5}[/tex] ×[tex]x^{4} \sqrt{5}[/tex]
12[tex]x^{8}[/tex] ×√25
60 [tex]x^{8}[/tex]
Hence, The expression 4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B
The correct question is Select the correct answer.
Which expression is equivalent to 4x²√5x4 3√5x8, if x≠0?
OA. 12x¹0 √5
OB. 60x8
OC.35x18
O D. 7x¹⁰ √5
To know more about Square and square root- https://brainly.com/question/1387049
#SPJ9
If the 100th term of an arithmetic sequence is 609, and its common difference is 6, then
its first term a1=
It’s second term a2=
It’s third term a3=
Answer:
15, 21, 27
Step-by-step explanation:
[tex]a_n}[/tex] = [tex]a_{1}[/tex] + (n-1)d
[tex]a_{n}[/tex] is the number in the sequence we are looking for
[tex]a_{1}[/tex] This is the first term in the sequence that we do not know and we are looking for
n stands for the number of the term and d is the common difference. We will put in all that we know and solve for the first term.
609 = [tex]a_{1}[/tex] + (100-1)6
609 =[tex]a_{1}[/tex] + (99)6
609 = [tex]a_{1}[/tex] + 594 Subtract 594 from both sides of the equation
15 = [tex]a_{1}[/tex]
Now that we know that the first term is 15 we just add 6 to get the next term which is 21 and then add 6 again to get the last term 27.
3.
According to the 2010 census, the population of Nebraska was 1.8 x 106 people. Which state
had a smaller population?
OCalifornia: 3.7 × 107
ORhode Island: 1.1 × 106
OTexas: 2.5 x 107
OMissouri: 6 x 106
If the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island
Given,
The population of Nebraska = 1.8×[tex]10^{6}[/tex]
The population of Rhode Island = 1.1×[tex]10^{6}[/tex]
1.1×[tex]10^{6}[/tex] < 1.8×[tex]10^{6}[/tex]
So, Rhode island has population less than Nebraska
Hence, if the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island
Learn more about population here
brainly.com/question/10470566
#SPJ1
How many cubes are in the box? What fraction of the entire box do the 7 cubes represent? Explain you answer. 10*10*10
Answer:
7/10 %
Step-by-step explanation:
If k equals 42 in [tex]x^{2}[/tex] + [tex]y^{2} + z^{2}[/tex] = k, what is x?
The value of x is ±√(42 - y² - z²).
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
Given:
x² + y² + z²=k
As, it is given that k = 42.
So, x² + y² + z²=k
x² + y² + z²= 42
x² = 42 - y² - z²
x=±√(42 - y² - z²)
Hence, the value of x is ±√(42 - y² - z²).
Learn more about equation here:
https://brainly.com/question/16255566
#SPJ1
How are defined terms and undefined terms related?
Answer:
"Defined items" are defined in terms of "undefined terms".
Step-by-step explanation:
None.
The sum of three consecutive integers is 303. If n is the smallest of the three, which equation represents this situation?
The equation that best represents a the given situation is: 3n + 3 = 303., as found by number system.
What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
Given: Sum of three consecutive integers is 303.
n = smallest integer.
According to question, the other two integers are: n + 1, and n + 2.Since the sum of the three consecutive integers is 303, addition operation on the values of number system
n + n + 1 + n + 2 = 303
3n + 3 = 303.
Hence, The equation that best represents a the given situation is:
3n + 3 = 303., as found by number system.
To learn more about number system, refer to the link: https://brainly.com/question/13162939
#SPJ9
what is the simplest form of 3/7 of 6/1
3/7 of 6/1 means [tex]6(\frac{3}{7})=\frac{18}{7} =2\frac{4}{7}[/tex]
hope this helped
Solve the inequality and express your answer in interval notation.
x^2-6x+7 < 0
Solution:
A. [tex](3-\sqrt{2}, 3+\sqrt{2})[/tex]
Hope this helps!
simplify
5/8 divide by 5/6
Answer: 3/4
Step-by-step explanation:
See attached work. Remember when dividing fractions, you must multiply by the reciprocal of the second fraction.
Find the circumference of the largest circle that will fit inside of a square that has an area of 144 square feet?
Answer:
6
Step-by-step explanation:
The square's side will be √144 = 12
The largest circle will have diameter of 12 so it's radius will be 12/2 = 6
HELPPP QUESTION three
The image of D surely lies on the ray BA ,as ray BA is antiparallel to the ray BD.
Consider D’ to be the image of point D obtained ,when D is rotated 180 degrees anti-clockwise(or counter-clockwise),with B as center of rotation.
From the image above,it is clear that the rays BA and BD are antiparallel.
A ray is a segment of a line with a starting point and an infinite length in one direction.
Antiparallel rays are the rays which are parallel but oppositely directed.The angle between such rays is 180 degrees.
Hence,D’ must lie on the ray BA, as ray BA is antiparallel to BD(i.e the angle between the rays is also 180 degrees).
To learn more about antiparallel here:
https://brainly.com/question/12011720
#SPJ9
What
is the slope of the line that passes through the points (-4, 6) and (-4, 18)?
Write your answer in simplest form.
What is the mean and the median of 2, 4, 6, and 8?
The Alden Middle School girls' soccer team won 80% of its games this season. If the team won 12 games,how many games did it play?
Answer:
15 games
Step-by-step explanation:
Since the team won 80% of the games and won 12, we can put these into an equation.
80% is also 0.8 so:
x * 0.8 = 12
To find x we can simply do 12 divided by 0.8 which equals =
15
Find all sides to the right triangle
Answer: 22, 15.4, 26.857
Step-by-step explanation:
sin 55=0.819
22/0.819=26.857
sin 35=0.5736
26.857*0.5736=15.4
sin 90=1
26.857*1=26.857
22, 15.4, 26.857
If a - b = b = c = 2, what is the value of: (a − b)² + (b − c)²/(a - c)² ihx-ezjm-mww
Answer:
Step-by-step explanation:
If a - b = b = c = 2, what is the value of: (a − b)² + (b − c)²/(a - c)² ihx-ezjm-mww
I need help −1/1/5+(−3/5)=
Answer:
- 4/5 /decimal form -0.8
Step-by-step explanation:
in a reaction time study involving 12 participants, the number of participants whose average time is between 400 and 600 milliseconds
Using the concepts of continuous and discrete variables it is found that the reaction time of students would be a continuous variable.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks to classify the variable reaction time of students as discrete or continuous.
What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …A reaction time of 500.5 milliseconds is a valid reaction time, hence a decimal value is accepted, meaning that the reaction time of students would be a continuous variable.
More can be learned about discrete and continuous variables at https://brainly.com/question/16978770
#SPJ1
The length of a rectangle is 6 inches longer than its width. What are the possible widths if the area of the rectangle is at least 667 square inches?
Answer:
D, [tex]w\geq 23[/tex]
Step-by-step explanation:
The length is 6 inches longer than it's width, therefore:
[tex]l=w+6[/tex]
The area of the rectangle is AT LEAST 667 square inches, so:
[tex]lw\geq 667[/tex]
Now, we have a system of two equations:
[tex]\left \{ {{l=w+6} \atop {lw\geq 667}} \right.[/tex]
We want to isolate the width, so substitute the first equation into the second to eliminate the length.
[tex](w+6)w\geq 667[/tex]
Simplify:
[tex]w^2+6w\geq 667[/tex]
Since we now have a polynomial equation that needs to be factored, set the value of one side to 0.
[tex]w^2+6w-667\geq 0[/tex]
Now factor the equation:
[tex](w-23)(w+29)\geq 0[/tex]
Taking each factor individually, we find the following:
[tex]w\geq 23\\w\geq -29[/tex]
Since a negative width doesn't make any sense, we can eliminate that solution, and we are left with the correct answer!
[tex]w\geq 23[/tex]
george’s average bowling score is 180; he bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. bill’s average bowling score is 190; he bowls in a league where the average is 160 and the standard deviation is 15. who ranks higher in his own league, george or bill?
the median player salary for the new york yankees was $1.5 million in 2007 and $1.7 million in 2013. write a linear equation giving the median salary y in terms of the year x. (let y be in millions of dollars and let x
(a) The linear equation giving the median salary "y" in terms of the year "x" is y = 0.034x + 1.266.
(b) The median player salary in the year 2048 will be approximately $2.9.
We are given the years to be 2007 and 2013, so the corresponding "x" values are 7 and 13 respectively.x1 is 7 and x2 is 13.We are given the median player salaries to be $1.5 million and $1.7 million, so the corresponding "y" values are 1.5 and 1.7.y1 is 1.5 and y2 is 1.7.In the form of corresponding points, we can write (7, 1.5) and (13, 1.7).(a) To form a linear equation, we use the equation of a line.(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)y - 1.5 = [(1.7 - 1.5)/(13 - 7)]*(x - 7)y - 1.5 = (0.2/6)*(x-7)y = (0.2/6)*(x-7) + 1.5y = 0.034x - 0.234 + 1.5y = 0.034x + 1.266(b) For the year 2048, the "x" value is 48.y = 0.034(48) + 1.266y = 1.632 + 1.266y = 2.898Thus, the median player salary in the year 2048 will be approximately $2.9.To learn more about linear equations, visit :
https://brainly.com/question/11897796
#SPJ4
Jonah read 5 1/2 chapters in his book in 90 minutes. How long did it take h
to read one chapter?
You purchase tickets to a rock concert for you and 5 friends. You paid a total of $483.30. Write an equation and solve to find out how much each concert ticket cost. You must have your equation, the work to solve the equation and your answer in sentence form.
Answer:
to figure out the total for each person what you need to do is divide 483.30 by 5
483.30 / 5= 96.66
Step-by-step explanation:
Help please!! I would appreciate it:)
[tex]2A +B = -2 \cdot (2z +8 -2z-4) = -2 \cdot 4 = -8[/tex]
can u please use an explanation, i need it for my answer please.
======================================================
Work Shown:
[tex]a^2 + b^2 = c^2 \ \ \text{ ... pythagorean theorem}\\\\12^2 + 9^2 = c^2\\\\144 + 81 = c^2\\\\225 = c^2\\\\c^2 = 225\\\\c = \sqrt{225}\\\\c = 15\\\\[/tex]
angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. is this an accurate predictor of how well students in the algebra class will perform on the test? (2 points) yes, because angie is representative of the population in the algebra class yes, because angie scored high on the test so it must be easy no, because angie is not representative of the population in the algebra class no, because angie scored too high on the test
No, this is not an accurate predictor because angie is not representative of the population in the algebra test.
Here,
Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%.
We have to find is this an accurate predictor.
What is Accurate predictor?
Accurate predictor describes whether the predicted values match the actual values of the target field within the incertitude due to statistical fluctuations and noise in the input data values.
Here,
Angie is the student of an advanced statistics course but she gives the algebra test and scored 80%.
We know that the advanced statistics is the higher level of math so it is not an accurate predictor.
Because, An accurate predictor should be applied when the person is 100% confirmed to the related thing. So in the given situation, the student is not 100% confirm.
Hence, this is not an accurate predictor because Angie is not representative of the population in the algebra test.
Learn more about the Accurate predictor visit:
https://brainly.com/question/25955478
#SPJ4