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.
Without graphing, find the slope of the line that goes through (2, -1) and (6, 1). *
Answer:
m=1/2
Step-by-step explanation:
By counting, the y-value goes up 2 and the x-value goes up 4. This gives you 2/4, which simplifies to 1/2
evaluate the expression 82+(-17)-(-53)
Answer:
Step-by-step explanation:
82 - 17 + 53
= 188
Answer:
118
Step-by-step explanation:
? divided by 1/3= 9/10
Answer:
3/10
Step-by-step explanation:
because if you use a calculator that answer would be 0.9 which is 9/10 as a decimal and if u did it yourself then you would do 1/3 x 9/10 and you would get 9/30 which is 3/10 if u simplify it
If Earth's total mass is 6 x 10^24 kg, what proportion of this is lost every year?
Step-by-step explanation:
This is well within the mass uncertainty of 0.01% (6×1020 kg), so the estimated value of Earth's mass is unaffected by this factor. Mass loss is due to atmospheric escape of gases. About 95,000 tons of hydrogen per year (3 kg/s) and 1,600 tons of helium per year are lost through atmospheric escape.
What is the circumference of a circle with a radius of 9.4 centimeters?
Please help fast!!
Answer:
The answer to this equation should be 59.06 I hope I helped:)
what is 8 times 9x
15 points for the person that answers this
-x^2+17x-42 in quadratics, graph starting at (3,0), and repeated vertices at (8,30) and (9,30). What do I do if there’s a repeated vertices?
Answer:
89
Step-by-step explanation:
solve the equation 52y-29=10 for y.
Answer:
The answer is B
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!
Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
y = mx + bwhere m = slope and b = y-interceptTo find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
Slope formula: [tex]\displaystyle \bf \frac{y_2-y_1}{x_2-x_1}[/tex]Plug the two points into the formula.
[tex]\displaystyle \frac{4-0}{0-(-6)}[/tex]Subtract and simplify this fraction.
[tex]\displaystyle \frac{4}{6} =\frac{2}{3}[/tex]The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
y = 2/3x + 4The equation of the line is y = 2/3x + 4.
Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
y = mx + b
where m = slope and b = y-intercept
To find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
Slope formula:
Plug the two points into the formula.
Subtract and simplify this fraction.
The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
y = 2/3x + 4
The equation of the line is y = 2/3x + 4.
Hello someone please help ASAP!!
Answer:
B
Step-by-step explanation:
A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.
the expression 2L+2w is used to find the perimeter of a rectangle with length L and width w. What is the perimeter of a rectangle with length 15cm and width 4cm?
Answer:
38cm
Step-by-step explanation:
p=2l+2w=2×15cm+2×4cm=30cm+8cm=38cm
A rectangle has side lengths of x+1 and 1. What is an expression for the area of the rectangle?
These are the choices...
3
x + 1
x + 2
2x + 3
Thank You!!!
Answer:
x+1 SQUARE units
Step-by-step explanation:
Area of a rectangle is height times width or you could just say the length on one side times the length of a side right next to it.
If the rectangle is x+1 units long and 1 unit high, then the answer is (x+1) x 1 = x +1 because anything times 1 is always just what you started with.
which of the following quadratic will have a maximum value at x=3
(A) y=x^2-6x+19
(B) y=-4x^2+24x-21
(C) y=-2x^2+20x-49
(D) y=2x^2-3x+7
The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.
The maximum and minimum values of a function:
The maximum and minimum values are the highest and lowest values that a function can reach over a particular domain.
For example, in a quadratic function, the maximum or minimum value is the highest or lowest point on the graph, respectively.
If a function has a maximum value, it means that the function reaches its highest point at a certain value of x.
On the other hand, if a function has a minimum value, it means that the function reaches its lowest point at a certain value of x.
Here we have
(A) y = x²-6x +19
At x = 3
y = (3)² - 6(3) + 19
= 9 - 18 + 19 = 10
(B) y = -4x²+24x -21
At x = 3
y = -4 (3)² + 24(3) - 21
= - 4(9) + 72 - 21
= 15
(C) y= -2x² +20x -49
At x = 3
y = - 2 (3)² + 20(3) - 49
= - 18 + 60 - 49
= - 7
(D) y = 2x² -3x +7
At x = 3
y = 2(3)³ - 3(3) + 7
= 18 - 9 + 7
= 16
Therefore,
The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.
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Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!
Answer:
sine D = 0.9459
sine E = 0.3243
Step-by-step explanation:
Mathematically, sine is the ratio of the opposite to the hypotenuse
The hypotenuse is the longest side and we have it as 37 in the diagram given
the opposite to angle E is 12
So the sine of E = 12/37 = 0.3243
For D , its opposite is 35
The sine of D = 35/37
sine of D = 0.9459
!!!!PLEASE HELP, PLATO TEST AND WILL GIVE FIRST CORRECT SERIOUS ANSWER BRAINLIEST!!!!
How many possible 3-digit area codes exist If 0 can't be the first digit, but digits can repeat?
A total of _?_ different 3-digit area codes exist.
The number of possible 3 - digit codes would be 900.
What is combination?"A combination is a way of selecting items from a collection."
For given situation,
It is a three digit code with 0 can't be the first digit.
This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.
So, the number of possible 3 - digit codes would be,
9 × 10 × 10 = 900
Therefore, the number of possible 3 - digit codes would be 900.
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Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?
Answer:
0.000725 i think :)
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
solve for b
-11b+7=40
Answer:-3
Step-by-step explanation:
40-7=33
33/-11=-3
simple true and false question
Answer:
true
Step-by-step explanation:
Pls help will give Brainliest if right, Don’t guess
In this 45-45-90 triangle, I have been given a leg, so
to find the other leg I...
how many real sixth roots does 1 have
Answer:
Im pretty sure it's 2, but Im not sure
Step-by-step explanation:
Which equation represents the situation:
A 20 year old is the same height as a 30 year
A. f(20) = 30
B. f(30) = 20
C. f(30) = f(20)
D. f(20) > f(30)
E. f)20) < f(30)
PLS I NEED HELPP
Answer:
the answer of this question is C. f(30) = f(20)
What are the solutions to the equation 3(X -4)(X +5) =0
what is 3/4b>15 solution
The solution set of the given inequality is {b| b > 20}.
How to solve the inequality?Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.
And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:
(4/3)*(3/4)*b > 15*(4/3)
b > 20
Then the solution set can be written as {b| b > 20}
That is the set of all values larger than 20.
Learn more about inequalities at:
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the measure of the seven angles in a pentagon measure 87, 105, 135, and 92. what is the measurement of the last angle
Answer:
121
Step-by-step explanation:
If you add them all up, 87+105+135+92= 419
the pentagon is equal to 540 degrees so minus 540 by 419
then you get 121
Find the value of the missing base:
Answer:
25 (with assumptions)
Step-by-step explanation:
ASSUMING ES=SD and FT=TG, then the difference between EF and ST is the same as the difference between ST and DG. Since ST - EF = 19 - 13 = 6, then DG - ST = 6 or DG - 19 = 6, add 19 to both sides and DG = 25
pls help with this problem!
Answer:
X=11
b. 30
c. 30
Step-by-step explanation:
a)7x = 13x – 12=
pls help fast also need steps
Answer:
x= 2
Step-by-step explanation:
7x = 13x -12
0= 13x-12-7x
12= 13x-7x
12= 6x
2= x
you need to bring all the X's to one side then solve from there
Answer:
x=2
Step-by-step explanation:
7x=13x-12
Subtract 13x from both sides
7x-13x=13x-12-13
-6x=12
Divide both sides by -6
-6x/-6=-12/-6
simplify
x=2
Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money? Remember, your answer will be in years!
Step-by-step explanation:
well..this is the answer..using..time formula
Q1. What is the ratio of 4 weeks 3 days to 6 weeks.
Q2. What is the ratio of 3 dozen eggs to 8 eggs.
Q3. How far can a bus travel in 8 litres of diesel if it can travel 144 km in 6 litres of diesel
Answer in all steps and answer quick gotta help somebody.
Answer:
Q1: 28 : 3
Q2: 36 : 3
Step-by-step explanation:
Q1 EXPLANATION:
theirs 7 days in a week and theirs four weeks
4 x 7 = 28, theirs 3 days
28 : 3
Q2 EXPLANATION:
Theirs 12 in a dozen and theirs 3 dozens
3 x 12 = 36, theirs 3 eggs
36 : 3
Q3 EXPLANATION:
8 litres is 144 km
divide both by 4
2 litres is 36 km
then times both by 3
6 litres is 108 km