Given:
V'W'X'Y' has vertices V'(-3,2), W'(5,1), X'(0,4) and Y'(-2,0).
V'W'X'Y' is the image of VWXY rotated 90° around the origin.
To find:
The coordinates of VWXY (the pre-image).
Solution:
V'W'X'Y' is the image of VWXY rotated 90° around the origin. It means, the figure VWXY is rotated 90° counterclockwise around the origin.
So, if we rotate V'W'X'Y' 90° clockwise around the origin, then we get the original figure VWXY.
If a figure rotated 90° clockwise around the origin, then
[tex](x,y)\to (y,-x)[/tex]
[tex]V'(-3,2)\to V(2,3)[/tex]
[tex]W'(5,1)\to W(1,-5)[/tex]
[tex]X'(0,4)\to X(4,0)[/tex]
[tex]Y'(-2,0)\to Y(0,2)[/tex]
Therefore, the coordinates of preimage are V(2,3), W(1,-5), X(4,0) and Y(0,2).
Help with trigonometry homework
By definition of tangent,
tan(A - π/4) = sin(A - π/4) / cos(A - π/4)
Expand the numerator and denominator using the angle sum identities for sin and cos:
tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))
Divide through everything on the right by cos(A) cos(π/4):
tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))
Simplify the sin/cos terms to tan:
tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))
tan(π/4) = 1, so we're left with
tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))
Replace tan(A) with -√15:
tan(A - π/4) = (-√15 - 1) / (1 - √15)
Then the last option is the correct one.
What is the sum of the polynomials? 8x2-9y2-4x
Answer:
9x^2-12y^2-11x
Step-by-step explanation:
I took the test.
Jane needs to solve this equation for x.
2x - 8= 20
Which would be the BEST first step Jane could make to solve the
equation?
A. Add 8 to both sides of the equation
> C. Divide 2x by 2
B. Subtract 8 from the left side of the equation
D. Divide both sides of the equation by 20
Answer:
a
Step-by-step explanation:
because you can't divide by 2 yet
The first step is Add 8 to both sides of the equation
What is equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2x - 8= 20
Now, first step to solve the equation is
Add 8 on both side
2x- 8 +8 = 20 + 8
2x= 28
and, divide both side by 2
x= 28/2
x= 14
Hence, the first step is Add 8 to both sides of the equation
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5/3÷7=_____
Answer in a fraction form
PLZ HELP
Answer:
5/21
Step-by-step explanation:
5/3/7=?
so 5/3 *1/7=5/21
so 5/21 is your answer
Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss books, how many total books does she have?
Answer:
Step-by-step explanation:
if the ratio is 8:11 then 40:x
Cross multiply
8 40
11 x
8x=440
And divide by 8
x=55. She has 55 books
When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Answer:
4.5%
Step-by-step explanation:
-2.6f + 0.8f - 15 - 4
help ??
Answer:
= -1.8f-19
Step-by-step explanation:
- Add the similar elements which would give you -1.8f-15-4
- Then subtract -15-4 which gives you -19
7) Newton sees 50 frogs in the morning, and 7 fewer frogs in the
afternoon. How many frogs did he see in total?
Answer:
93
Step-by-step explanation:
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
GIVING BRAINLIEST IF CORRECT PLEASE ANSWER
Answer:
a) 1/3
b) 7/9
Step-by-step explanation:
A) there are 18 total, 6/18 is 1/3
B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9
which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2
(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²
= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)
= p ⁻¹⁶ q ⁻²⁰
there are seven teams in a basketball competition, each team must play each of the other team once, how many games will each play?
Answer:
49 games
Step-by-step explanation:
what is the y intercept of y= -1/2x +3
Hurryplz!
Answer:
Y-intercept is 3
Step-by-step explanation:
Remember y=mx+b
b is the y-intercept
mx is the slope
The ratio of girls to boys in a class is 4 to 1. There are 24 girls in the class. How many students are in the class?
Answer:
a
Step-by-step explanation:
Answer:
The answer is
A ) 30
Step-by-step explanation:
For every 4 girls in the class, there is 1 boy.
24/4 = 6
24 + 6 = 30
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
You have $350 to buy 26 tickets for a baseball game. You need to buy some of each kind of seat. You want to spend most of the money. How many of each type of ticket can you buy? Find two different solutions to the problem. Use an equation to show each solution.
Answer:
it would be 700
Step-by-step explanation:
because if you are adding 350 plus 350 then you would get 700
When a number is divided by another number then it gives a quotient and a remainder. The two different solutions to the given problem is given as 26 tickets of one kind and one ticket of the remaining $12.
What is Euclid's division lemma?Euclid's division lemma can be written in mathematical form as
P = QS + R, where a number P divided by number s gives a quotient Q and a remainder R.
It is applicable to both numbers and algebraic expressions.
Given that,
Total amount for buying tickets is $350
Total number of tickets to be bought is 26.
Since the total money available is $350 for 26 tickets, the expression for price of each ticket can be written as,
P = 26t + r
Here, t is the amount for one type of ticket and r is money remained after buying tickets.
The solution to the given division gives quotient as 13 and remainder as 12.
It implies to buy tickets of each kind, 26 tickets can be bought.
And, in order to utilize the amount completely the remaining $12 can be used to buy another kind of ticket.
Hence, the two different solutions to this problem are 26 tickets of one kind and one ticket of another kind for the remaining $12.
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Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is your adjusted balance?
Answer:
261.48
Step-by-step explanation:
3^x×3^y=1
2^(2x-y)-64=0
Answer:
Step-by-step explanation:
HERE
:)
i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please
check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21
Answer:
A. 90.24 divided by 6.3
Step-by-step explanation:
We take each option one by one and solve for it
A. 90.24 divided by 6.3
Divisor = 90.24
Dividend = 6.3
if the divisor and dividend were rounded to the nearest whole number?
= 90÷ 6
= 15
Answer:
A, I got it right on edge.
Step-by-step explanation:
2) What is the distance between -5 and -3?
Answer:
2
Step-by-step explanation:
-5 - (-3)
-5 plus 3
|-2|
2
Mr. Wong was born in 1934. In what year was Mr. Wong 48 years old? Use mental math to solve.
Answer:
1982
Step-by-step explanation:
1934 + 42= 1982
For the triangles to be congruent by SSS, what must be the value of x? 1 3 6 8
Answer:
C
Step-by-step explanation:
6
Answer:
C
Step-by-step explanation:
It gib the funny check mark
A. 8
B. 32
C. 16
D. 4
If nis the larger of two consecutive numbers, write an expression for the other number.
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Answer:
n-1
Step-by-step explanation:
I hope you like the answer!
unit 8 right triangles and trigonometry homework 1
Answer:
x = 31.8
Step-by-step explanation:
From the picture attached,
By applying Pythagoras theorem in right ΔADC,
AC² = AD² + CD²
(22)² = AD² + (16)²
AD² = 484 - 256
AD = √228
= 2√57
Now we apply Pythagoras theorem in right ΔADB,
AB² = AD² + DB²
x² = 228 + (44 - 16)²
x² = 228 + 784
x² = 1012
x = √1012
= 31.81
≈ 31.8
The side x is an hypotenuse side to one of the right triangles formed by
altitude of the given triangle that has solid lines.
x is approximately 31.812
Reasons:
The figure shows a triangle with an altitude that forms two triangles inside
the main triangle.
By Pythagoras's theorem, we have;
For the right triangle on the left;
22² = h² + 16²
h² = 22² - 16² = 228
h² = 228
h = √228 = 2·√57
h = 2·√57
In the right triangle to the right, we have;
The length of the top base, b = 44 - 16 = 28
The square of the hypotenuse, x² = h² + b²
∴ x² = 228 + 28² = 1012
x = √(1012) = 2·√253
x = 2·√253 ≈ 31.812
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n
When plotting points on the coordinate plane below, which point would lie on the x-axis?
Answer:
wish to be in this level. But not so. hmmm
Answer:
(6,0)
Step-by-step explanation:
Got it right on Edge 2020:)
Multiply.
(−0.64)(−2.5)
Enter your answer as a decimal in the box.
Answer:
1.6
Step-by-step explanation:
Hope this helps! :-)
How are rates ratios and proportions used in careers in the medical field
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
Jan used 10
yards of fabric to make 5 dresses. On average, how
much fabric did she use for each dress?
Answer:
2 yards
Step-by-step explanation:
10 divided by 5 is 2
Is a polynomial function?
Answer:
Yes it is a polynomial function