Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
__
Additional comment
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
90° CCW or 270° CW: (x, y) ⇒ (-y, x)90° CW or 270° CCW: (x, y) ⇒ (y, -x)180°: (x, y) ⇒ (-x, -y)Which of the following is true? a. A hypothesis is a measure, such as price or quantity, that can take on different values at different times. b. To test a hypothesis is the last step under the scientific method of studying economic problems. c. To identify a question and define the relevant variables is the last step under the scientific method. d. Assumption refers to a theory about how key variables relate to one another.
Answer:
Step-by-step explanation:
D
Pentagon JKLMN is similar to pentagon VWXYZ. What is the measurement of angle X? Group of answer choices 60o 120o 150o 30o
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Explanation:
Based on the diagram, angles L and X are the top most angles. They correspond to have angle L = angle X = 60 degrees
Though you shouldn't rely solely on a diagram because the figures may be oriented in a strange way. A better way is to look at the letter sequences of JKLMN and VWXYZ
Notice how L and X are the third letters of JKLMN and VWXYZ respectively. This means the letters pair up and are congruent angles (since the polygons are similar). So this is a non-visual way to see how angle L = angle X = 60.
Someone please help me to prove this.
Answer: see proof below
Step-by-step explanation:
Use the following Product to Sum Identities:
2 sin A · cos B = sin (A + B) + sin (A - B)
2 cos A · cos B = sin (A + B) + sin (A - B)
Given: cos A + cos B = 1/2 and sin A + sin B = 1/4
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \tan\dfrac{A+B}{2}[/tex]
[tex]\text{Expand:}\qquad \qquad \dfrac{\sin\frac{(A+B)}{2}}{\cos\frac{(A+B)}{2}}[/tex]
[tex]\text{Multiplication:}\qquad \quad \dfrac{\sin\frac{(A+B)}{2}}{\cos\frac{(A+B)}{2}}\bigg(\dfrac{2\cos\frac{A-B}{2}}{2\cos \frac{A-B}{2}}\bigg)[/tex]
[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{2\sin \frac{A+B}{2}\cdot \cos \frac{A-B}{2}}{2\cos \frac{A+B}{2}\cdot \cos \frac{A-B}{2}}[/tex]
[tex]\text{Product to Sum:}\qquad \dfrac{\sin A+\sin B}{\cos A+\cos B}[/tex]
[tex]\text{Given:}\qquad \qquad \qquad \quad \dfrac{\frac{1}{4}}{\frac{1}{2}}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{1}{2}[/tex]
LHS = RHS: 1/2 = 1/2 [tex]\checkmark[/tex]
Setting 7/3 equal to which ratio would result in a valid proportion?
9/49
18/42
42/18
49/9
To determine which ratio would result in a valid proportion when set equal to StartFraction 7 over 3 EndFraction, we need to find the ratio that is equivalent to StartFraction 7 over 3 EndFraction.
To do this, we can cross-multiply. When we cross-multiply StartFraction 7 over 3 EndFraction and another ratio, the product of the numerator of StartFraction 7 over 3 EndFraction and the denominator of the other ratio should be equal to the product of the denominator of StartFraction 7 over 3 EndFraction and the numerator of the other ratio.
Let's check each option:
1. StartFraction 9 over 49 EndFraction:
7 x 49 = 343
3 x 9 = 27
These values are not equal, so it is not a valid proportion.
2. StartFraction 18 over 42 EndFraction:
7 x 42 = 294
3 x 18 = 54
These values are not equal, so it is not a valid proportion.
3. StartFraction 42 over 18 EndFraction:
7 x 18 = 126
3 x 42 = 126
These values are equal, so it is a valid proportion.
4. StartFraction 49 over 9 EndFraction:
7 x 9 = 63
3 x 49 = 147
These values are not equal, so it is not a valid proportion.
Therefore, the ratio that results in a valid proportion when set equal to StartFraction 7 over 3 EndFraction is StartFraction 42 over 18 EndFraction.
Hope It Helps :)
Which of the following are correct ways to name Plane B? (Select all that apply)
Plane WYU
Plane WYU
Plane WYV
Plane WYV
Plane XYV
Plane XYV
Plane UWV
Plane UWV
Plane BWY
Please, I really need help-
=====================================================
Explanation:
Triangle ABC is isosceles because AC = BC.
The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.
For any isosceles triangle, the base angles are congruent.
Angle BAC = 69 degrees is given. So angle ABC = 69 as well.
-------------------
The missing angle must add to the two other angles so that all three angles in a triangle add to 180
(angle ABC) + (angle BAC) + (angle BCA) = 180
69 + 69 + (angle BCA) = 180
138 + (angle BCA) = 180
angle BCA = 180-138
angle BCA = 42
-------------------
Angle DCE is congruent to angle BCA because they are vertical angles.
Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48
angle EDC = 48 degrees
Answer:
48
Step-by-step explanation:
THE ANSWER IS 48 SORRY I CAN SEE IT NOW SORRY
(PLEASE HELP)You draw a card from a deck. Find the probability that you will draw a red card OR a club. (Answer as a percent including the symbol- Ex. 14%) ~will mark brain
Answer:
The probability of drawing a red card from a deck is 50%
The probability of drawing clubs from a deck is 25%
Step-by-step explanation:
Mikaila collected 27 pounds of glass bottles to bring to the recycling center.
She also collected 400 ounces of newspapers and 160 ounces of aluminum cans.
What is the total weight of the items Mikaila brought to the recycling center?
Write your answer in ounces.
ounces
Answer:
992
Step-by-step explanation:
1 pound equals 16 ounce
So, 27x16=432
432+400+160=992
48) The solution set of the
equation x2/3 + x1/3 - 2 = 0 is ...
Answer:
2 is the answer
Step-by-step explanation:
2x/3+x/3-2=0
Now take lCM of all the three term,
3x/3-2=0
Now you have solve it
x=2
Answer:
No solution
Step-by-step explanation:
[tex] \frac{2}{3} x + \frac{1}{3} x - 2 = 0[/tex]
Collect like terms and simplify
[tex] \frac{2}{3} x + \frac{1}{3} x = 2 [/tex]
[tex] \frac{2}{3} + \frac{1}{3} = \frac{2 + 1}{ 3} = \frac{3}{3} = 1[/tex]
[tex]1 = 2[/tex]
x-3/4 = 2x-9/7
Please answer it I’ll mark your answer as BRAINLIEST
[tex]:\implies\sf\:x-\dfrac{3}{4}=2x-\dfrac{9}{7}[/tex]
[tex]:\implies\sf\:\dfrac{9}{7}-\dfrac{3}{4}=2x-x[/tex]
[tex]:\implies\sf\:\dfrac{36-21}{28}=x[/tex]
[tex]:\implies\boxed{\bf{\red{x=\dfrac{15}{28}}}}[/tex]
9x - 6xy + 9 + 9xy - 6
Answer:
3xy+9x+3
Step-by-step explanation:
Seven added to the product of 10 and k is less than or equal to 47
Answer:
7 + 10 + k - 47
Step-by-step explanation:
Just a slight bit late
Generate the first 7 terms of the sequence defined by Q = 3n+ 5.
Answer:
8,11,14,17,20,23,26
Step-by-step explanation:
Q = 3n+ 5
an=3n+5
a1=3(1)+5=8
a2=3(2)+5=11
a(3)=3(3)+5=14
a4=3(4)+5=17
a5=3(5)+5=20
a6=23
a7=26
The electric company charges $0.06 per kilowatt hour of electricity used. Write a multiplication equation to find the number of kilowatt hours of electricity for which the Estevez family was charged if their electric bill was $45.84.
Answer:
$0.06(x)=$45.84
Step-by-step explanation:
x= the number of hours used
x=764 hours
to get the 764 you divide 45.85/0.06 because you want to isolate the variable.
Answer:
$0.06(x)=$45.84
Step-by-step explanation:
math is easy
if 7y-2=15 what is the value of 21y-1
Answer:
50.01
Step-by-step explanation:
7y-2=15
7y=15+2
7y=17
y=2.4285714286
21y-1
21(2.4285714286)-1
51.01-1
50.01
Hope this helps ;) ❤❤❤
Solve 20x + 5y = 15 for y
Answer:
Step-by-step explanation:
20x+5y=15
Subtract 20x from both sides.
5y=15−20x
Divide both sides by 5.
__5y_ = _15-20x_____
5 5
y= __15-20______
5
Divide 15−20x by 5.
y=3−4x
Evaluate 4m+23+np−3, when m=7, n=2, and p=8.
Answer: 64
Step-by-step explanation:
When you come across question of evaluation, substitute all the variables.
-----------------------------------------------------------------
Given
4m+23+np-3
Substitute value m, n, and p
=4(7)+23+(2)(8)-3
Use PEMDAS to simplify
ParenthesesExponentsMultiplication and DivisionAddition and Subtraction=28+23+16-3
=51+16-3
=67-3
=64
Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C, for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts?
Answer:
24,28-11 that the answer
Step-by-step explanation:
Total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.
What is total cost?"Total cost is defined as the sum of all the expenses which is required to produce a product."
According to the question,
C=total cost,
h= hour of labor
p = additional charges for parts
Total cost given as
C= 45 +20h + p
h = 4hour
p = $109
Substitute the value in the total cost we get,
C = 45+20(4) +109
=$229
Hence, total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.
Learn more about total cost here
https://brainly.com/question/14927680
$SPJ2
create a function f(x) such that f(3)=20
Answer:
[tex] f(x) = \frac{20}{3} x[/tex]
Step-by-step explanation:
[tex]f(x) = \frac{20}{3} x \: ... (required function) \\
Plug \: x = 3 \\ f(3) = \frac{20}{3} \times 3 \\ f(3) = 20[/tex]
perfect squares are closed under multiplication true or false
Answer:
True
Step-by-step explanation:
Ana's gymnastics scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number 15._66
Answer:
0,1,2,3,4,5,6,7,8,9Step-by-step explanation:
From the problem statement, from the score which is given as 15._66.
it is only one digit that is missing and not a combination of two digits.
This makes our guess easier as we have a range of 0-9 to guess from
therefore the list of possible digits to select from can be given as
from between 0-9 which is
{0,1,2,3,4,5,6,7,8,9}
i need help with these two questions
Three sides of a pentagon have a length of 26 cm each. Each of the remaining two sides has a length of 14.5 cm. What is the perimeter of the pentagon? 75 cm 81 cm 107 cm 377 cm
Answer:
107 cm
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Answer:
107 cm
Step-by-step explanation:
To find this you just first add the 26cm three times because thats the length of 3 sides and you get 78 then you multiply 14.5 times 2 for the other two sides that length and you get 29. Next you add 78+29 and you get 107cm
Find the value of x
8x + 6
9x – 2
[tex]8x+6=9x-2[/tex]
[tex]x=8[/tex]
Hope this helps.
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A rescue company determined that 90 out of 100 calls they received were true emergencies. Which describes the fraction of their calls that were true emergencies?
In the picture order the number from least to greatest
Answer:
-9.2, -4/5, 3/8, .45, 54%, .86, 88%
Step-by-step explanation:
Use the drop-down menus below to state the sequence of transformations that maps Figure A A onto Figure B B in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
nonrigid and segement lengths ar enot
Step-by-step explanation:
Identify the hypothesis in the statement If it is monday, then the basketball team is playing
what does X Equal for 0.4 repeating
Answer:
x=4/9
Step-by-step explanation:
We first let 0.4 (4 being repeated) be x.
10x=4.4
10x-x=4.4-0.4
9x=4
x=4/9
What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?
Answer:
The answer is 6 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
K (5, 6) P (1, 1)
The distance from K to P is
[tex] |KP| = \sqrt{ ({5 - 1})^{2} + ({6 - 1})^{2} } \\ = \sqrt{ {4}^{2} + {5}^{2} } \\ = \sqrt{16 + 25} \\ = \sqrt{41} \\ = 6.403124[/tex]
We have the final answer as
6 units to the nearest whole numberHope this helps you