If P =(2,-1) , Find the image of P under the following rotation 90 degrees
counterclockwise about the origin
( [ ? ] , [ ? ] )
Answer:(1,2)
Step-by-step explanation:
The image of point P = (2, -1) is (1, 2)
What is rotation?"It is a transformation in which the object is rotated about a fixed point.""An object can be turned clockwise or counterclockwise on the coordinate plane"For given question,
We have been given a point P = (2, -1)
We know that if point (x, y) is rotated 90 degrees counterclockwise about the origin then the coordinates of image is (-y, x)
So, when point P is rotated 90 degrees counterclockwise about the origin then the coordinates of the image would be (-(-1), 2) = (1, 2)
Therefore, the image of point P is (1, 2)
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Plz help me this would mean the world plz
Answer:
x = 2
4 x 4 = 16
25% of 16 = 4
2 x 2 = 4
i chose 2 bc i said it x -= 25% of the larger squares area meaning it would be 2
Step-by-step explanation:
Middle school math ! Plz help!!
Answer:
x < 11
Step-by-step explanation:
-9x + 40 > -59
Subtract 40 from each side.
-9x > -99
Divide by -9 on each side. (flip the symbol)
x < 11
does anyone know how to solve this problem?
<3 pwease help will do anything lol <3
2. A 480 Ω resistor is connected in series to a 360 Ω resistor and a 120-V power supply.
a. Draw the circuit.
b. Calculate the equivalent resistance of the circuit.
c. Calculate the current through the battery.
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery
I just answered a so let's start with b :
______________________________
b. The equivalent resistance of series
resistances is equal to their sum
Thus :
equivalent resistance = 480 + 360
equivalent resistance = 840
_______________________________
c.
I = V ÷ R
I = 120 ÷ 840
I = 0.1428 A
_______________________________
d. 0.1428 A
_______________________________
e. 480 ===》 120 - ( 480 × 0.1428 ) =
120 - 68.544 =
51.456
360 ===》 120 - ( 360 × 0.1428 ) =
120 - 51.408 =
68.592
_______________________________
f. 480 ===》68.544 lower than battery
360 ===》 51.408 lower than battery
The perimeter of this square is 20 inches.
Amaya thinks the length of the missing side is 4 inches.
5 inches
Do you agree with Amaya? Explain your thinking using words or numbers.
HELPPP EXPLAIN IF SHES RIGHT OR OF WE AGREE HELPPP.
Answer:
Amaya is wrong.
Step-by-step explanation:
The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.
Solve the following expression if x = 5 and z = 8. x + (-z)
Answer:
z = 20 , x = 5
Step-by-step explanation:
Please help the questions are in the picture above
Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)
Step-by-step explanation:
3x^3 - 3x^2 - 90x
Apply GCF: 3 (x^3 - x^2 - 30)
Split 30 into -6 and 5
(x^3 - 6x^2) (5x^2 - 30x)
GCF of both: x^2 (x - 6) and 5x (x - 6)
DON'T FORGET TO CARRY THE 3
And your answer is 3 (x - 6) (x^2 + 5x)
The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts
Number of T-Shirts Total Cost (dollar)
12
156
17
211
22
266
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
ok
Answer:
12
Step-by-step explanation:
hi
Equation which describe relationship between total cost and number of t-shirt is [tex]c(t)=75.93e^{0.06t}[/tex].
Data given are ,
Number of t-shirt (t) total cost c(t)
12 156
17 211
22 266
According to above table, exponential function best describes the relationship between the total cost, c(t), and the number of T-shirts, t.
Let, [tex]c(t)=Ae^{kt}[/tex]
Substitute , t=12 and c(t) = 156
We get, [tex]156=Ae^{12k}.......(1)[/tex]
Substitute , t=17 and c(t) = 211
We get, [tex]211=Ae^{17k} ........(2)[/tex]
After solving above equations.
We get, A = 75.93 and k = 0.06
Thus, [tex]c(t)=75.93e^{0.06t}[/tex]
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Question 3 (1 point)
Mrs. Randolph has 39 math books and 57 science books that she needs to put in boxes. Each box can hold 8 books. How many
boxes does Mrs. Randolph need? Explain.
1. 20% of 150 is what number?
Answer:
30
Step-by-step explanation:
First, you have to convert 20% into a decimal.
Explanation:
20 ÷ 100 = 0.2
Now multiply 0.2 by 150
Explanation:
0.2 × 150 = 30.
Therefore, 20% of 150 is 30.
How do people find bog bodies?
There have been more than 500 Iron Age bog bodies and skeletons recovered in Denmark alone, with additional finds made in Germany, the Netherlands, the United Kingdom, and Ireland. These discoveries date from between 800 B.C. and 200 A.D.
What is bog bodies?The term “quaking bog” refers to the unstable surface of the bog, which will sink slightly beneath a weight. Even the plants may be through to reach the water below. This is how both people and animals have drowned. If the peat is dense and spongy, non-floating bogs may also tremble.
here, we have,
Boggy body reports first appeared in the early 18th century. More than 1,850 bog remains were catalogued by the German scientist Alfred Dieck in 1965, however subsequent research showed that Dieck made many errors in his work.
Before cutting into the peat, ground-penetrating radar can be used to locate bodies and artifacts beneath the surface of bogs.
Therefore, people find bog bodies looking for peat for fuel. it's something along those lines.
Learn more about bog bodies here:
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pls answer i need the answer
1 ticket
2 tickets
3 tickets
4 tickets
Answer:
3
Step-by-step explanation:
Answer:
2 tickets
Step-by-step explanation:
a + c = 5
9a + 4c = 30
let a = 5-c
substitute:
9(5-c) + 4c = 30
45 - 9c + 4c = 30
45 - 5c = 30
-5c = -15
c = 3
a = 2
Item 7
△ABC has vertices A(−1, 2), B(2, 8), and C(4, 1). Find the measure of each angle of the triangle. Round decimal answers to the nearest tenth.
Answer:
[tex]A = 74.7^\circ[/tex]
[tex]B = 42.5^\circ[/tex]
[tex]C = 62.8^\circ[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]d = \sqrt{(-1 - 2)^2 + (2 - 8)^2[/tex]
[tex]d = \sqrt{(-3)^2 + (-6)^2[/tex]
[tex]d = \sqrt{45[/tex]
So:
[tex]AB = \sqrt{45[/tex]
For BC
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]BC = \sqrt{(2 - 4)^2 + (8 - 1)^2[/tex]
[tex]BC = \sqrt{(-2)^2 + (7)^2[/tex]
[tex]BC = \sqrt{53[/tex]
For AC
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2[/tex]
[tex]AC = \sqrt{(-5)^2 + (1)^2[/tex]
[tex]AC = \sqrt{26[/tex]
So, we have:
[tex]AB = \sqrt{45[/tex]
[tex]BC = \sqrt{53[/tex]
[tex]AC = \sqrt{26[/tex]
By representation
[tex]AB \to c[/tex]
[tex]BC \to a[/tex]
[tex]AC \to b[/tex]
So, we have:
[tex]a = \sqrt{53[/tex]
[tex]b = \sqrt{26[/tex]
[tex]c = \sqrt{45[/tex]
By cosine laws, the angles are calculated using:
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex]c^2 = a^2 + b^2 -2ab\ cos C[/tex]
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex](\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A[/tex]
[tex]53 = 26 +45 - 2 * 34.21 * \cos A[/tex]
[tex]53 = 26 +45 - 68.42 * \cos A[/tex]
Collect like terms
[tex]53 - 26 -45 = - 68.42 * \cos A[/tex]
[tex]-18 = - 68.42 * \cos A[/tex]
Solve for [tex]\cos A[/tex]
[tex]\cos A =\frac{-18}{-68.42}[/tex]
[tex]\cos A =0.2631[/tex]
Take arc cos of both sides
[tex]A =\cos^{-1}(0.2631)[/tex]
[tex]A = 74.7^\circ[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex](\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B[/tex]
[tex]26 = 53 +45 -97.67 * \cos B[/tex]
Collect like terms
[tex]26 - 53 -45= -97.67 * \cos B[/tex]
[tex]-72= -97.67 * \cos B[/tex]
Solve for [tex]\cos B[/tex]
[tex]\cos B = \frac{-72}{-97.67}[/tex]
[tex]\cos B = 0.7372[/tex]
Take arc cos of both sides
[tex]B = \cos^{-1}(0.7372)[/tex]
[tex]B = 42.5^\circ[/tex]
For the third angle, we use:
[tex]A + B + C = 180[/tex] --- angles in a triangle
Make C the subject
[tex]C = 180 - A -B[/tex]
[tex]C = 180 - 74.7 -42.5[/tex]
[tex]C = 62.8^\circ[/tex]
The difference of two numbers is 74. Twice the first and thrice the Second sum up to 138. Find the two possible numbers . anyone??
Answer:
72 and -2
Step-by-step explanation:
x - y = 74
2x + 3y = 138
x - y = 74
y = x - 74
2x + 3(x - 74) = 138
2x + 3x - 222 = 138
5x = 360
x = 72
x - y = 74
72 - y = 74
-y = 2
y = -2
Work out 3 times 10^5 divide by 4 times 10^3
Give your answer as an ordinary number
Answer:
75
Step-by-step explanation:
Answer:
75,000,000
Step-by-step explanation:
first what we do is we do 10^5 which could also be seen as
10*10*10*10*10=100,000
now we times that by 3
100,000*3=300,000
and now divide by 4
300,000÷4=75,000
now times 75,000 by 10^3 (10*10*10=1,000)
75,000*1,000=
75,000,000
75,000,000 is your answer
Recall the experiment comparing patients 4 weeks after surgery for carpal
tunnel syndrome. The patients who had endoscopic surgery demonstrated
a mean pinch strength of 9.1 kg compared to 7.6 kg for the open- incision
patients.
4. What hypotheses would you test?
5. The P-value of the test was less than 0.05. State a brief conclusion.
Answer:
4. H0: u1= u2 Ha; u1≠ u2
5. The smaller value of p supports the null hypothesis.
Step-by-step explanation:
4. The null and alternate hypotheses are
H0: u1= u2 i.e there no difference between the mean pinch strengthof the two surgeries
against the claim
Ha; u1≠ u2 i.e there a difference between the mean pinch strengthof the two surgeries
It can be written like this as well
H0: u1 -u2= 0 i.e there no difference between the mean pinch strengthof the two surgeries
against the claim
Ha; u1 -u2≠ 0 i.e there a difference between the mean pinch strengthof the two surgeries
Part 5. The test having a p- value less than 0.05 tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.
The smaller value of p supports the null hypothesis.
42 – 7y = -2
12x – 21y = -42
Answer:
Either C or A
Step-by-step explanation:
Hope it help you have a good day
- 7th Grade Work -
A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?
Answer:
19
Step-by-step explanation:
hope this helps with the problem
I would ask a question but half the mfkas on here have failed me so many tests. So I j want to let you guys know that you all are r e t a r t e d.
Answer:
please dont use the r slur :)) and if you care so much about your grades, heres an idea!! study on your OWN and dont rely on others
Step-by-step explanation:
help me with this question
Answer:
960 cm³ I think it may be correct
please, help me with this fast!! I'm giving points!!!!
Answer:
Step-by-step explanation:
c circle
Solve: 7×-4=-8×+8
hurry!
Answer:
x = 4/5
FILLER FILLER FILLER
Find x
Secant tangent angles
ILL MARK BRAINLIEST!!!
Answer:
[tex]x = \frac{50 + 92}{2} = 71[/tex]
A line is reflected. Which of these could be the result?
O A.
B.
O c.
/
OD.
Answer:
C
Step-by-step explanation:
I believe the answer would be C because its the only actual line on a graph.
A Is a line segment
D is a ray
(I'm not sure what the exact name for the one on graph B is.)
Answer:
the answer ic C!
Step-by-step explanation:
AP EX
Plz answer: 20 points and Brainliest!!!
Match the word with the definition.
Answer:
function is #4
domain is #2
range is #3
a vertical line test is #5
practical range is#8
practical domain is#7
function notation is#6
relation is #1
Step-by-step explanation:
hope this helps:)
what is -7 + 1/3?
10 points pls answer
Answer:
-6 2/3
Step-by-step explanation:
Answer asap i got school in one hour and forgot to do this (im putting all my points for this)
Answer:
I belive the answer for the first box is 9.67
I belive the answer for the second box is 71.
I hope I helped
Please help me with this
When you spin a rectangle, what 3D figure do you get? cylinder prism cone sphere
Answer:
A cylinder
Step-by-step explanation:
When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.
Answer:
CYLINDER
Step-by-step explanation: