Given:
Coordinates of point J are J(2,7).
It is rotated 90 degrees counterclockwise about (-1, -3).
To find:
The y-coordinate of J’.
Solution:
If a figure rotated 90 degrees counterclockwise about a point (a,b), then
[tex](x,y)\to (-(y-b)+a,(x-a)+b)[/tex]
Point J is rotated 90 degrees counterclockwise about (-1, -3). So, a=-1 and b=-3.
[tex](x,y)\to (-(y-(-3))+(-1),(x-(-1))+(-3))[/tex]
[tex](x,y)\to (-(y+3)-1,(x+1)-3)[/tex]
[tex](x,y)\to (-y-3-1,x+1-3)[/tex]
[tex](x,y)\to (-y-4,x-2)[/tex]
Coordinates of point J are J(2,7).
[tex]J(2,7)\to J'(-7-4,2-2)[/tex]
[tex]J(2,7)\to J'(-11,0)[/tex]
Therefore, the y-coordinate of J' is 0. Hence, the correct option is B.
(10*10)+(-34*22) who know the answer
Answer:
-648
Step-by-step explanation:
Answer:
-648
Step-by-step explanation:
(10 times 10) equals 100
(-34 times 22) equals -748
then add them both together
Wayne is solving a system of linear equations.
Determine the product of 4.5 and 7.18. Show your work steps below.
Distribute -2(-2x^2-9x)
Answer:
4x^2 +18x
Step-by-step explanation:
Answer:
4x²+18x
Step-by-step explanation:
In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠3=120°.
What is m∠6?
Enter your answer in the box.
°
Line a b parallel to line c d is cut by a transversal forming 8 angles. The angles formed when the transversal intersects with line A B clockwise starting from top left are angle 1, 2, 3, and 4. The angles formed where the transversal intersects line c d clockwise from top left are angle 5, 6, 7, and 8.
Answer:
the answers is 160
you take 180-120=60
m<6= 60
Step-by-step explanation:
Which equation in slope intercept form passes through the point (-4,2) and has a slope of 9/2
Answer:
9x-2y=-40
Step-by-step explanation:
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Answer: i can help
Step-by-step explanation:
Answer: 0.7
Step-by-step explanation: think it that one in my head i think i did it right srry if i get you wrong
Five angles of a hexagon are each 115 degrees calculate the size of the sixth angle.
Answer:
The sixth angle would be 115 degrees.
Step-by-step explanation:
Which expression will give the correct volume of the cylinder?
Answer:
B. 3.14(24^2)(2.5)
Step-by-step explanation:
24 is the radius and 2.5 is the height. plug it into 3.14*r^2*h
Solve for s :
21st + 6 = 48
Answer:
S = 2. What the T for?
Step-by-step explanation:
48 - 6 = 42
42/21 = 2
When you have a repeating decimal, what is one thing you must put to
show that it is repeating before submitting your answer?
Answer:
you need to put a line over the numbers that are repeating or if you can't put a line you can put this "..."
Step-by-step explanation:
Sandy uses 2/6 of a pound of raisins in each batch of rasin bread.Yesterday,sandy used a pound of raisins.How many batches of raisin bread did Sandy make yesterday?
Please helppp
Answer:
3
Step-by-step explanation:
3 times 2/6 is 6/6 or one whole
Gianna is substituting t = 2 and t = 7 to determine if the two expressions are equivalent. 5 (2 t + 3) 5 t + 25 Which statement is true? Both expressions are equivalent to 35 when t = 2. Both expressions are equivalent to 85 when t = 7. Both expressions are equivalent to 60 when t = 7. The expressions are equivalent.
Answer:
Both expressions are equivalent to 35 when t = 2
Step-by-step explanation:
Given
Expression 1: 5(2 t + 3)
Expression 2: 5t + 25
When t = 2
5 (2 t + 3)
= 5(2*2 + 3)
= 5(4 + 3)
= 5(7)
= 35
5t + 25
= 5*2 + 25
= 10 + 25
= 35
When t = 7
5(2 t + 3)
= 5(2*7 + 3)
= 5(14 + 3)
= 5(17)
= 85
5t + 25
= 5*7 + 25
= 35 + 25
= 60
Both expressions are equivalent to 35 when t = 2
Answer:
Both expressions are equivalent to 35 when t = 2.
A triangle has one side measuring 8 cm and the hypotenuse measuring 10 cm. What does the 2nd leg measure?
Answer:
8 cm
+ 10 cm = 18 cm
Step-by-step explanation:
9514 1404 393
Answer:
6 cm
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the legs is the square of the hypotenuse. If the missing leg is x, then ...
x² +8² = 10²
x² = 10² -8² = 36
x = √36 = 6
The 2nd leg measures 6 cm.
hi, can someone teach me how to define rigid transformations?
Answer:
In mathematics, a rigid transformation is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. The rigid transformations include rotations, translations, reflections, or their combination.
Step-by-step explanation:
What is X? 8(5x-5)=8(5x-5)
Answer:
An infinite number of solutions.
Step-by-step explanation:
When you try to solve for x, the result is 0 = 0.
This means that for any value you plug in for x, the result will always be equal to each other, therefore making the equation true.
2x–8y=32? what is the anwer jayden jacksion parks
from KAttleya
Alfonso earns $16 per hour for the first eight hours of his shift. For each additional
hour he works beyond the first eight hours, he earns $24 per hour. If Alfonso
earned $320 from a single shift, how many hours long was that shift?
PLEASEE HELP
Answer:
he worked a 16 hour shift. after his first 8 hours he worked 8 more. so 16 all together.
Step-by-step explanation:
The total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,
[tex]W=\dfrac{1}{n}[/tex]
Alfonso earns $16 per hour for the first eight hours of his shift. Thus, the total amount he earned in 8-hour shift is,
[tex]16\times8=128[/tex]
For each additional hour he works beyond the first eight hours, he earns $24 per hour. Let Alfonso worked x hours beyond her shift. Thus, the money earned by her in this additional x hours is,
[tex]24\times x=24x[/tex]
Alfonso earned a total $320 from a single shift. Thus,
[tex]128+24x=320\\x=\dfrac{320-128}{24}\\x=8\rm\; hours[/tex]
Hence, the total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.
Learn more about the work and time here;
https://brainly.com/question/25572872
Write the equation of the line in POINT-SLOPE form that passes through (5, 1) and (-2, 14)
point slope form is
[tex]y-y_1 = m(x-x_1)[/tex]
we can find m with
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\ m = \frac{14-1}{-2-5} \\m = \frac{13}{-7} \\[/tex]
[tex]y - 1 = \frac{-13}{7} (x-5)\\or\\y - 14= \frac{-13}{7} (x+2)[/tex]
It takes a factory 4 weeks to make 2,000 broomsticks.What is the unit rate?
Answer:
1000 possiably?
305 is equal to t times 212
Answer:
no
Step-by-step explanation:
its not
Answer:305/212 = t
Step-by-step explanation:
30 points! The equation y=1.55x + 110,419 approximates the total amount, in dollars, spent by a household to raise a child in the United States from birth to 17 years, given the household’s annual income, x.
What is the approximate average yearly cost of raising a child in a household with an annual income of $33,000
Given:
The equation is
[tex]y=1.55x+110,419[/tex]
Here, y approximates the total amount, in dollars, spent by a household to raise a child in the United States from birth to 17 years, given the household’s annual income, x.
To find:
The approximate average yearly cost of raising a child in a household with an annual income of $33,000.
Solution:
We have,
[tex]y=1.55x+110,419[/tex]
Put x=33000 to get the total amount, in dollars, spent by a household if annual income of $33,000.
[tex]y=1.55(33000)+110,419[/tex]
[tex]y=51150+110,419[/tex]
[tex]y=161,569[/tex]
So, total amount spent by a household to raise a child in the United States from birth to 17 years is $161,569.
Divide this total amount by 17 to get the average yearly cost of raising a child in a household with an annual income of $33,000.
[tex]\dfrac{161,569}{17}=9504.05882353[/tex]
[tex]\dfrac{161,569}{17}\approx 9504.06[/tex]
Therefore, the average yearly cost of raising a child in a household with an annual income of $33,000 is $9504.06.
Answer:
yearly cost $9,504
Step-by-step explanation:
1.55(33,000)+110,419 =161,569
161,569/17= 9,504.058823529412
took the test
Explain why ABC is similar to ADE
Answer:
ABC is a dilation of ADE.
Step-by-step explanation:
The picture down below explains dilation in more detail.
Answer:
ADE is a scaled up version of ABC.
Step-by-step explanation:
Because Line DE is parralell to BC and ADE fits inside the corner od ABC.
the median of 1,4,7,10,15 is
Answer:
The median is 7
Step-by-step explanation:
Arrange numbers in order
1, 4, 7, 10, 15
The middle number is the median of the set
if number is odd divide by 2, but in this case you don't have to.
Therefor it is 7
7
Step-by-step explanation:
arrange the numbers in order from smallest to largest
1, 4, 7, 10, 15
find the middle number which is 7
so the median is 7
=7
PLZZZZZ HELP!!!!! WILL CHOOSE BRAINLIEST
Answer:
what are you asking of me?
Answer:there is no question
A line has a slope of _3 and a y-intercept of 3.
What is the x-intercept of the line?
In the parking lot at Central, there are 21 blue cars and 75 cars total. What is the ratio of blue cars to cars that are not blue in simplest form?
Answer: The ratio of blue cars to cars that are not blue in simplest form = 7:18
Step-by-step explanation:
Given: There are 21 blue cars and 75 cars total.
Then, number of cars that are not blue = 75 -21 = 54
Now, the ratio of blue cars to cars that are not blue = [tex]\dfrac{21}{54}=\dfrac{7}{18}[/tex] [Divide numerator and denominator by 3.]
Hence, the ratio of blue cars to cars that are not blue in simplest form = 7:18
Gordon types 3,496 words in 46 minutes. Find the unit rate.
Gordon types
words per minute.
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
When we are finding the unit rate we should know that the rate of change is the change of y over the change of x.
[tex]m=\frac{y}{x} =\frac{3496}{46}[/tex]
Now we just simplify to get...
76 words/min.
Answer:
Gordan types 76 words per minute.
I hoped this helps if so please mark brainliest!
Step-by-step explanation:
Divide the words by time.
3,496/46= 76
–24 + 12d = 2(d – 3) + 22 pog am in need of help
Answer:
[tex]\boxed {d = 4}[/tex]
Step-by-step explanation:
Solve for the value of [tex]d[/tex]:
[tex]-24 + 12d = 2(d - 3) + 22[/tex]
-Use Distributive Property:
[tex]-24 + 12d = 2(d - 3) + 22[/tex]
[tex]-24 + 12d = 2d - 6 + 22[/tex]
-Combine like terms:
[tex]-24 + 12d = 2d - 6 + 22[/tex]
[tex]-24 + 12d = 2d +16[/tex]
-Take [tex]2d[/tex] and subtract it from [tex]12d[/tex]:
[tex]-24 + 12d - 2d = 2d - 2d +16[/tex]
[tex]-24 + 10d = 16[/tex]
-Add both sides by [tex]24[/tex]:
[tex]-24 + 24 + 10d = 16 + 24[/tex]
[tex]10d = 40[/tex]
-Divide both sides by [tex]10[/tex]:
[tex]\frac{10d}{10} = \frac{40}{10}[/tex]
[tex]\boxed {d = 4}[/tex]
Therefore, the value of [tex]d[/tex] is [tex]4[/tex].
Answer:
d = 4
Step-by-step explanation:
Given
- 24 + 12d = 2(d - 3) + 22 ← distribute and simplify right side
- 24 + 12d = 2d - 6 + 22
- 24 + 12d = 2d + 16 ( subtract 2d from both sides )
- 24 + 10d = 16 ( add 24 to both sides )
10d = 40 ( divide both sides by 10 )
d = 4
Betty and Bill just won $10,000 in the Pennsylvania state lottery. They decide to spend $3,000 now and put the remaining $7,000 in an investment earning 8 percent compounded annually. If they use the money in that investment for a vacation in five years, approximately how much will they have available to spend on that vacation?
Answer:
$10285.29
Step-by-step explanation:
The idea is to solve for the final amount when $7000 is invested and compounded
given data
principal= $7000
rate= 8%= 0.08
time =5years
We know that the expression for the final amount is
[tex]A = P(1 + {r)^{t}[/tex]
A = 7000(1 + {0.08)^5
A=7000(1.08)^5
A=7000(.469328)
A= 10285.29
They have available to spend on that vacation $10285.29