Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.
Answers
Answer:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Step-by-step explanation:
Related Questions
Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.
Answers
Answer:
0 solutions
Step-by-step explanation:
The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.
__
The equations can be put into slope-intercept form by eliminating the parentheses.
6(x +2) = y ⇒ y = 6x +12
y = 3(2x +3) ⇒ y = 6x +9
These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.
x- (2x + 1) = 8- (3x + 3)
Answers
Answer:
x = 3
Step-by-step explanation:
x- (2x + 1) = 8- (3x + 3)
x - 2x - 1 = 8 - 3x - 3
x - 2x + 3x = 8 - 3 + 1
2x = 6
x = 6/2 = 3
A family needs to build fencing around their rectangular home and square swimming pool, depicted below
Answers
Answer:
160
Step-by-step explanation:
Willa is building birdhouses . Each side of the birdhouse needs 9 nails . How many nails does Willa need for each birdhouse . There are 7 sides on the birdhouse
Answers
Answer:
63
Step-by-step explanation:
I side=9 nails*1= 9nails
7 sides= 9*7 nails= 63 nails
Each birdhouse requires 63 nail.
Hope this helps!
in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class
Answers
Answer:
There are 12 boys and 36 girls.
Step-by-step explanation:
This equation should help explain it.
x + 3x = 48
Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).
To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.
The amount of boys = x, so there are 12 boys.
The amount of girls = 3x, so there are 3 times 12, or 36 girls.
Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have $6.70, how many of each type of coin do you have?
Answers
answer:
32 dimes and 14 quarters
step by step:
32 x 10 = 320
14 x 25 = 350
320 + 350 = 670
670¢ = 6.70$
Help me on this mathwork please
Answers
Answer:
m∠I = 56°
m∠1 = 30°
Step-by-step explanation:
Salem is a diver. Today he descended to a depth of 50 feet below sea level. Then he swam up 8 feet and descended another 4 feet. How far below sea level is Salem now?
Answers
Answer:
46 feet below sea level
Step-by-step explanation:
First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.
Complete the table using the equation y = 8x + 8 ( helppp plsss)
Answers
Answer:
0, 8, 16, 24, 32
Step-by-step explanation:
plug in the values given for x into the 8x+8 equation
Example:
8(-1)+8
8(0)+8
Answer:
(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)
Step-by-step explanation:
To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,
y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)
Using the formula find the slope of a line with the points (10,20) and (30,50).
Answers
Answer:
m = 2/3
Step-by-step explanation:
Slope is defined as the ratio rise/run.
As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.
write an equation in slope-intercept form of the line (-10,-4) and (5,6)
Answers
Answer:
y = 2/3x + 8/3
Step-by-step explanation:
divide: 994.14 ÷ 18.9
Answers
Answer:
52.6?
Step-by-step explanation:
Step-by-step explanation:
[tex] \\ 994.14 \div 18.9[/tex]
[tex] \\ = \frac{99414}{100} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \times \frac{10}{189} [/tex]
[tex] \\ = \frac{263}{5} [/tex]
[tex] \\ = 52.6[/tex]
I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X
Answers
Answer:
x ≈ 3.2
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )
3.7 × cos29° = x , then
x ≈ 3.2 ( to the nearest tenth )
Answer:
3.2
Step-by-step explanation:
we have two angles, 29 and 90.
we need one more angle to make the total sum of the angles 180.
the angle to do this is 61.
the area of this triangle so far is 2.90244.
using the area, we can find that the x side is 3.23609.
round 3.23609 to the tenth, we get 3.2
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answers
Answer:
34
Step-by-step explanation:
634 - 600 = 34
ggraph this function
Answers
Answer:
The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.
The center of an inscribed circle is
formed by the construction of which
three segments?
Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters
Answers
Answer:
Angle bisectors, Perpendicular bisectors, and Circumcenters
Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.
Answers
Answer:
Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.
Step-by-step explanation:
The best option will be option A which will be chosen by Demarco and Tanya.
What is finance?Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.
The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.
Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.
Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.
So, The best option will be option A which will be chosen by Demarco and Tanya.
Learn more about finances;
brainly.com/question/9851444
Graph the function f(x)=1/2x+1
Answers
Answer:
See attached graph.
Step-by-step explanation:
Help with this and explain please
Answers
Answer:
Step-by-step explanation:
-6x + y = -6 Add 6x to both sides
y = 6x - 6 So the slope of the new line is 6
The point the new line has to go through is (-4,0) That will determine b.
y = 6x - 6
x = - 4
y = 0
0 = 6*(-4) + b Combine
0 = - 24 + b add 24 to both sides
24 = b
Answer: y = 6x + 24
The coefficient in the formula above tells us that there are?
Answers
Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)
Step-by-step explanation:
do anybody know the answer to dis
53.9 - 5.07
Answers
Answer:
48.83
Step-by-step explanation
Assume you invest $5,000 in an account paying 8% interest compounded annually. How much money will be in the account after 5 years?
Answers
Answer:
$7346.64
Step-by-step explanation:
Amount after 5years=P(1+r/100)^t
let A = amount after 5years
A=$5000(1+8/100)^5
A=$7346.64 to 2 decimal places
Someone plz help me I’m begging
Answers
Answer:
answer is D
pls I don't confirm sorry
What is the area of the following triangle in square meters? Do not round your answer. A =
WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST
Answers
Answer:
0.324 m²
Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)
and we apply the formula
1.2 * 0.54 : 2 =
0.324 m²
Answer:
32.4? or 0.324 m²
Step-by-step explanation:
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answers
Answer:
The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.
Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .
In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:
( × 9) ÷
( × 9) × = 18 quarts
To learn more about ratios, please check: brainly.com/question/17995727
Step-by-step explanation:
18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that recipe for sparkling grape juice calls for [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quart of grape juice
Let us convert [tex]1\frac{1}{2}[/tex] to improper fraction as 3/2
We need to find the amount of sparkling water would you need to mix with 9 quarts of grape juice
Let x be the sparkling water would you need to mix with 9 quarts of grape juice
Let us form a proportional equation.
3/2/(3/4)=x/9
3/2×4/3=x/9
2=x/9
18=x
Hence, 18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.
To learn more on Ratios click:
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6th Grade End-of-Module Review Part-xwhole Name Adam Robertson Date 1/12/21 1. Jazzlyn is applying for a job online. She has completed 12 questions. Throughout the application, a bar shows up to represent what percentage of questions she's completed. The progress bar currently shows 25%How many questions are there for the job application? Use a table, diagram, or equation to justify your answer.
Answers
Answer:
48 questions.
Step-by-step explanation:
x is for the unknown variable, the number you are trying to figure out.
12= 25%x
if you convert to a fraction, 12 is 1/4 of x. if you then multiply your answer by 4, 12 is 25% of 48.
to figure this out you can also ask, 12 is 25% of what number?
Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.
Answers
Answer:
change = 100y -np
Step-by-step explanation:
The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.
The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.
Her change will be the difference between what she offered in payment and what she owes.
change = 100y -np
LeAnnne has $4 in dimes and nickels. She has 10 more dimes than nickels. How many nickels does she have?
Answers
Answer:
21 she has 21 nickels
Step-by-step explanation:
Googel
The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.
Given that, LeAnnne has $4 in dimes and nickels.
Let the number of dimes be d and the number of nickels be n.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
She has 10 more dimes than nickels.
That is, d=n+10
So, 0.05n+0.10d=4
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
5n+10(n+10)=400
5n+10n+100=400
15n=300
n=20
d=n+10
d=30
Therefore, the number of nickels LeAnne has 20.
To learn more about an equation visit:
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which problem solving strategy would be best to solve this problem?
To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day
A.look for a pattern
B.work backwards
C.write an equation
D.guess, check and revise
Answers
Answer:
The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3
Answers
if that’s wrong then try B