Given:
Point (7,12) is rotated 1260° counterclockwise about the origin.
To find:
The x-coordinate of the point after this rotation.
Solution:
If a point is rotated 360 degrees then its coordinates remains unchanged.
If a point is rotated 180 counterclockwise about the origin degrees, then
[tex](x,y)\to (-x,-y)[/tex]
We know that,
[tex]1260^\circ=1080^\circ+180^\circ[/tex]
[tex]1260^\circ=3\times 360^\circ+180^\circ[/tex]
After [tex]3\times 360^\circ[/tex] rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.
[tex](7,12)\to (-7,-12)[/tex]
The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.
Therefore, the x-coordinate of the required point is -7.
Can u answer this with all of the questions answered pls I’ll give away 30 points
Answer:
4 x 4 = 16
16 ÷ 4 = 4
I cant answer the last bit as I'm not really sure what the options are? If you could tell me then I could probably answer it :)
Step-by-step explanation:
Pls help Factor 4x^3+32
Answer:
Step-by-step explanation:
The greatest common factor they share is 4.
[tex]4(x^3+8)[/tex]
y'all I need help asap
Answer:
Let's solve for x.
4x+5y=7
Step 1: Add -5y to both sides.
4x+5y+−5y=7+−5y
4x=−5y+7
Step 2: Divide both sides by 4.
4x/4=−5y+7/4
x=−5/4 y+ 7/4
Answer: for the first one x=−5/4 y+ 7/4
3x−2y=−12
Step 1: Add 2y to both sides.
3x−2y+2y=−12+2y
3x=2y−12
Step 2: Divide both sides by 3.
3x/3=2y−12/3
x=2/3y−4
Answer:
x=2/3y−4
Step-by-step explanation:
Answer fast!!!!!!!!!!!!!!
John ordered three lobsters.the fist o e weighed 3.2 pounds,the second weighted 1.75 pounds,the third 1.9 pounds what is the total weight of the three lobsters
Answer:
6.85 pounds
Step-by-step explanation:
3.2+1.75+1.9=6.85
In September, Louise planted a tree. Every month, the tree Louise planted grew 2 inches. What would the constant of proportionality of the line be?
Answer:
i think it would be 2 inches
Step-by-step explanation:
can someone please help with this? will give brainliest
Answer:
0.004
Step-by-step explanation:
Just mutiply and divide by 2
A large pizza has 12 slices, a medium has 10 slices, and a small has 8 slices. Write an expression to show total number of slices in 2 large pizzas 3 medium and 1 small, then solve... I really need help
Answer:
[12(2) + 10(3)] + 8 = 62
Step-by-step explanation:
I hope this works. :)
how to evaluate higher powers of i
Answer:
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
i^8 = 1
i^9 = i
Step-by-step explanation:
Anything raised to 0 is 1
Anything raised to 1 is itself
I just always knew i^2 = -1
I put this rest into the calculator honestly
But if you look at the stuff from i^2, you'll notice there's a pattern (-1, -i, 1, i) and it repeats. I bet if you raise i to the 10th, 11th, 12th, and 13th power, it is going to repeat the same pattern. I hope this helps in any way.
What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4
Answer:x+-3
Step-by-step explanation:
-6x+21-3
-6x=18
If you add Natalie's age and Fred's age, the result is 46. If you add Fred's age to 4 times Natalie's age, the result is 91. Write and solve a system of equations to find how old Fred and Natalie are.
Answer:
Fred = 31
Natalie = 15
Step-by-step explanation:
We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.
Create two systems :
F = Fred
N = Natalie
F + N = 46
4N + F = 91
We can change the first equation to Natalie's age alone :
N = 46 - F
Now substitute this into the second equation :
4(46 - F) + F = 91
Distribute :
184 - 4F + F = 91
Subtract 184 from both sides :
-4F + F = -93
Add like terms :
-3F = -93
Divide -3 from both sides :
F = 31
Therefore, Fred is 31 years old. Now replace his age in the first equation :
31 + N = 46
46 - 31
15
Therefore, Natalie is 15 years old.
Please help you don’t need to show work
Answer:
106 degrees
Step-by-step explanation:
Answer:
106
Step-by-step explanation:
Read and understand the problem Guide Questions solution
Graph the line y = x + 6.
To graph a line, plot any two points on the line.
Your Graph would look like this
Step-by-step explanation:
To find the median you do not have to arrange the numbers in order from least to greatest (true or false)
Answer:
false
Step-by-step explanation:
you have to order them from least to greatest in order to find the answer
Which pair of angles are alternate exterior angles ?
8 and 1 are alternate exterior angles.
Answer:
<8 and <1
Step-by-step explanation:
<8 and <1 are both outside of the parallel so they are exterior and opposite to each other which is alternative exterior.
Hope this helps, thank you !!
Please can you help me on this equation.I just cant seem to solve this though i mostly don't need help.Thank you [tex]\frac{1}{x^2+1} -\frac{x^4}{x^2+1}+\frac{x^4}{x^2-1} -\frac{1}{x^2-1}[/tex]
Answer:
2
Step-by-step explanation:
combine like denominators:
(1-x^4)/(x^2+1)+(x^4-1)/(x^2-1)
factor:
(1-x^2)(1+x^2)/(x^2+1)+(x^2+1)(x^2-1)/(x^2-1)
reduce:
(1-x^2)+(x^2+1)
1+1=2
The sun of two numbers is 10. The difference between the two numbers is 4.
Answer:
7 and 3
Step-by-step explanation:
Hey there, I really need help! I don't understand how to solve this. PLEASE HELP ME!!
Answer:
B
Step-by-step explanation:
Need help please identify the lines is it chord, secant, tangent, radius, or diameter.
What’s the greatest common factor between 13,65, and 169
Answer:
gcf, hcf, gcd (65; 169) = 13: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.
Answer:
13 Hope this helps :)
I have to put it as a point (x,y)
Answer:
(4,-2) is the answer to that equation.
Answer:
(-4,0)
Step-by-step explanation:
solve for the first variable in one of the equations,then substitute the result into the other equation
can someone help me find the equation for this line please
Answer:
y = x + 1
Step-by-step explanation:
The line y = x goes through the origin, and forms a perfect 45 degree angle with the x axis.
This is that same line, moved upward 1 unit, so the y value comes out 1 unit more.
Also, in y = mx + b form (slope-intercept form), we see slope m = 1 and y-intercept b = 1, so
y = 1x + 1 = x + 1
y = x + 1
What is the answer to -6=-7-n/10
Answer:-10
Step-by-step explanation:
Answer:
57-48/5 would be your answer
Question 4
4 pts
You roll 2 fair 6-sided dice. What is the probability of rolling a sum of 7 or more?
18/36 or 1/2
20/36 or 5/9
19/39
21/36 or 7/12
Answer:
here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.
Now, it is time to calculate the probability.
The required probability is,
p = (No. of cases favorable for the event)/(Total no. of cases)
=6/36 =
Step-by-step explanation:
Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is seven?
what property is 37 • 2 • (-5 + 5 + 1/2)
Answer:
37
Step-by-step explanation:
74*(-5+5+1/2)
74*(1/2)
37
-2(4x-1)-7=5
whats the next step in solving this equation
Answer:
Using distributive property is the next step in solving the equation
Step-by-step explanation:
-2(4x-1)-7=5
-8x+2-7=5
Answer:
The next step would be to do distributive property.
Step-by-step explanation:
-2(4x-1)-7=5
-8x + 2 - 7 = 5
-8x - 5 = 5
+5 +5
-8x = 10
/-8 /-8
x= -5/4
or
x = -1 1/4
Hope this helps and I hope u have an Amazing day!!
7 3/8 divided by 6 as a fraction
Answer:
[tex] \frac{73}{48} [/tex]
Step-by-step explanation:
.......
Please explain how you got your answer.
Solve for c.
ab + c = 5
c = 5/ab
c = 5 + ab
c = 5 - ab
Answer:
c= 5-ab
Step-by-step explanation:
Ive done this answer
What is the value of x?
Original 9 inches - 6 feet
Enlargement 12 inches - x feet
Answer:
Step-by-step explanation: