Answer:
-1
Step-by-step explanation:
How many hours will you have to work each weekend day to have a 33 hour work week? Assume you don't work during the weekdays.
Which transformation is shown by the coordinates below? L (-1, 9) M (-8, 8) N (-3, 5) L '(- 9, -1) M' (- 8, -8) N '(- 5, -3) A. Reflection over the x-axis / B. Translation 8 units left and 8 units down / C. Rotation 90 degrees clockwise / D. Rotation 270 degrees clockwise
Answer:
D. Rotation 270 degrees clockwise.
Step-by-step explanation:
The transformation used in the coordinates below was a rotation 270 degrees clockwise, whose definition is:
[tex](x', y') = (r\cdot \cos (\theta - 270^{\circ}), r\cdot \sin (\theta -270^{\circ}))[/tex]
Please note that clockwise rotation is represented by the minus sign.
Where [tex]r[/tex] is the norm of original point, defined as:
[tex]r =\sqrt{x^{2}+y^{2}}[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]
And [tex]\theta[/tex] is the direction of the point centered at origin and with respect to +x semiaxis, measured in sexagesimal degrees:
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex]
Now we proceed to prove the statement:
[tex]L (x, y) = (-1, 9) \longrightarrow L'(x,y)[/tex]
Norm
[tex]r = \sqrt{(-1)^{2}+9^{2}}[/tex]
[tex]r = \sqrt{82}[/tex]
Direction
The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:
[tex]\theta = \tan^{-1}\left(\frac{9}{-1} \right)[/tex]
[tex]\theta = 96.340^{\circ}[/tex]
Rotation
[tex]L'(x,y) = (\sqrt{82}\cdot \cos (96.340^{\circ}-270^{\circ}),\sqrt{82}\cdot \sin (96.340^{\circ}-270^{\circ}))[/tex]
[tex]L'(x,y) = (-9, -1)[/tex]
[tex]M(x,y) = (-8,8) \longrightarrow M'(x,y)[/tex]
Norm
[tex]r = \sqrt{(-8)^{2}+8^{2}}[/tex]
[tex]r = \sqrt{128}[/tex]
Direction
The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:
[tex]\theta = \tan^{-1}\left(\frac{8}{-8} \right)[/tex]
[tex]\theta = 135^{\circ}[/tex]
Rotation
[tex]M'(x,y) = (\sqrt{128}\cdot \cos (135^{\circ}-270^{\circ}),\sqrt{128}\cdot \sin (135^{\circ}-270^{\circ}))[/tex]
[tex]M'(x,y) = (-8, -8)[/tex]
[tex]N(x,y) = (-3,5)\longrightarrow N'(x,y)[/tex]
Norm
[tex]r = \sqrt{(-3)^{2}+5^{2}}[/tex]
[tex]r =\sqrt{34}[/tex]
Direction
The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:
[tex]\theta = \tan^{-1}\left(\frac{5}{-3} \right)[/tex]
[tex]\theta = 120.964^{\circ}[/tex]
Rotation
[tex]N'(x,y) = (\sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}), \sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}))[/tex]
[tex]N'(x,y) = (-5, -3)[/tex]
Hence, the correct answer is D.
Function Rule: y = 6x + 5 What is the output if the input is -2
Answer:
y=mx+b
Step-by-step explanation:
help please ASAP please
Simplify (4b+7)8b^2
Can someone help me please?
Answer:
[tex]32b^{3} +56b^{2}[/tex]
Step-by-step explanation:
Answer:
32b^3+56b^2
Step-by-step explanation:
distribute 8b^2 through the ()
32b^3+56b^2
The regular price of a baseball hat is $16.85. If Emesto buys the baseball hat on sale for 20% off the regular price, how much change will be
receive after paying with $20?
Answer:
$ 6.52
Step-by-step explanation:
marked price =16.85
discount 20%=3.37
net payable .=.13.48
Amount paid==$ 20
payable .=====13.48
balance to receive=$ 6.52
Brad jarred 12 liters
of jam after 2 days.
How much jam did
Brad jar if he spent 3
days making jam?
Answer:
18 liters
Step-by-step explanation:
We can use ratios to solve
12 liters x liters
----------- = -----------
2 days 3 days
Using cross products
12 *3 = 2x
36 =2x
Divide by 2
36/2 = 2x/2
18 =x
18 liters
QR=QR
Choose the definition, theorem, or postulate that justifies the statement.
A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality
As per the reflexive property two angles , lines or line segments are said to be congruent with themselves . Hence we say that QR = QR .
12r-5=
what is the anser to this problem
DUE SOON
evaluate -3 1/5 + 7 3/5 =
-5 +2 - 8 -(-14)= show work pls
Tom cuts 8 watermelons in 15 minutes. How many watermelons
does he cut in one hour?
Answer:
32 watermelons
Step-by-step explanation:
Stock Market At the beginning of the day the stock market goes down 50 3/4 points and stays at this level for most of the day. At the end of the day the stock market goes up 120 1/2 points from the at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer:
69 3/4
Step-by-step explanation:
The stock market goes down to 50 3/4 at the beginning of the day
At the end of the day it goes up to 120 1/2
Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows
= 120 1/2 - 50 3/4
= 241/2 - 203/4
= 279/4
= 69 3/4
Hence the total change in the stock market from the beginning to the end of the day is
69 3/4
The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 50°C?
A. 42°F
B. 90°F
C. 58°F
D. 122°F
Answer:
D, 122°F
Step-by-step explanation:
°F = 9/5°C + 32
°F = 9/5(50) +32
°F = 90 + 32
°F = 122
Solve c = ab? for b.
Answer:
b = c/a
Step-by-step explanation:
What is the range of the graph?
Answer:
I really don't know look it up
Answer:
should be [0, to positive infinity)
Step-by-step explanation:
lan has $6,000. He wants to buy a car within $1,500 of this
amount. What is the price range of the car he wants to
purchase?
f. x2 $4,500 or x 2 $7,500 g. $4,500 2 x 2 $7,500
h. x < $4,500 or x = $7,500 j. $4,500 < x < $7,500
Answer: $7,500
Step-by-step explanation:
HELP PLEASE
Which expression would be easier to simplify if you used the associative
property to change the grouping?
A. 4+ (1.2+(-0.2))
B. (2+ $) + 4
C. 85+ (120 + 80)
O D. (-40+ (60)] + 52
Answer:
c
Step-by-step explanation:
im not for sure but i think its c
Answer:b
Step-by-step explanation:
Use the graph to answer the question.
Which rational function is shown on the graph?
y
O Rx) = x+1
fa
x²+1
f(x) =
x + 1
Ax) = x + 1
10
10
O fx) =*+1
Answer:
C. f(x)=x-1/x+1
Step-by-step explanation:
edge2020
Functions can be represented by tables and equations
The function represented by the table is f(x) = x + 1
From the table, we have the following ordered pairs
(x,y) = (-1,0) (0,1) (1,2) and (2,3)
Notice that the difference between the x and y values is 1.
So, we have:
y - x = 1
Add 1 to both sides
y = x + 1
Express as a function
f(x) = x + 1
Hence, the function represented by the table is f(x) = x + 1
Read more about linear functions at:
https://brainly.com/question/15602982
Which unique point on this graph can represent the slope of the graph and the unit rate of change in the snow level?
Answer:I will give you an answer ,but I can't unless I can see the graph
Step-by-step explanation:
Plzz help me!!!!!!!!!!
Answer:
50
Step-by-step explanation:
I NEED HELP PLZ ASAP!!!
Answer:
C is the answer
Step-by-step explanation:
Its hard to explain, but i'm 100% sure.
Answer:
All of them
Step-by-step explanation:
if you look closely at the shame and decipher each option they all come into form for that shape.
Hope Hopes^^
Barry
What is the value of G-3=9
Answer:
G=12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Step 1:
g - 3 = 9 Equation
Step 2:
g = 9 + 3 Add 3 on both sides
Answer:
g = 12
Hope This Helps :)
A 12 m object is represented in a picture as being 2 cm. What is the scale?
Answer: 1:600
Step-by-step explanation:
From the question, we are informed that 12 m object is represented in a picture as being 2 cm.
To find the scale used, we needed to convert 12m to cm. Since 100cm = 1m, then 12m = 12 × 100 = 1200cm.
Therefore, a 1200cm object is represented in a picture as being 2 cm. The scale will be:
= 2/1200
= 1/600
= 1:600
This means that 1 centimeter in the picture represent 600 centimeter or 6 meters.
Evaluate the expression of a=-2 b=-3 c=2 x=2.11 y=3 s= -4.2
-|5a + c| + |3y + 2z|
Answers:
-11.4
8.06
-7.4
9.4
Answer:
C. -7.4
Step-by-step explanation:
-(5(-2) + 2) + (3(3) + 2(-4.2))
(-10+2) + (9 + -8.4)
-8 + 0.6
-7.4
I need help with 15.
Answer:
x = 7
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
The concession stand at a school basketball game sells slices of pizza for $2 each and pretzels for $1.25 each. Josiah’s mom gave him $15 to spend. Write an equation (in standard form) to model this situation.
Answer:
2p + 1.25z ≤ 15
Step-by-step explanation:
p=pizza
z=pretzel
Can someone help me simplify this (7b2 + 7b) + (7b + 7)
Answer:
21b + 9
Step-by-step explanation:
7b(2 + 7b) + (7b + 7)
7b+7b+7b=21b
2+7=9
21b + 9
Clair collects seashells. At home, she has 15 shells. Every day she brings 3 back to the beach. After 5 days how many seashells will Clair have?
x= days
y= number of shells
Make a table, graph (find slope), equation, define variables, and answer the question.
The equation would be:
y = 3x + 15
1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y
2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15
3) you already defined the variables
4) 3(5)+15 = 15+15 = 30 seashells
I hope this helps!
Hewp me pwease :( *insert puppy dog eyes*
11 + (−7)^2−9
Answer:
51
Step-by-step explanation:
11+(-7)^2-9 would be
11+49-9 (49 because 7^-2 = 49)
60-9 = 11
Answer:
51
Step-by-step explanation:
According to PEMDAS, the first step would be to take care of the exponents. -7 times -7 is positive 49, so the equation would look like this:
11+49-9 From there, just add and subtract as normal!
60-9
51
Hope this helps!
PLEASE HELP MEEE!!!!!
Answer:
use photmath or sum
Step-by-step explanation:
Answer:
a. given
b. addition property of equality
c. multiplication property of equality