Answer:
Hey, you don't include any points, but I can give you the rule for an 180 degree rotation.
You just need to write the same points, but negative. So going from (x,y) to
(-x,-y).
As an example let's say you wanted to rotate (3,-4) 180 degrees about the origin. The the point after the rotation would be (-3,4).
Hope that helps!
Answer:
C
Step-by-step explanation:
38+72= 110
180-110= 70
C
The equation that represent the same salary is 55,000x+2,500x=64,000+1500x
<h3>What is Algebra?</h3>
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
Katherine has a new job and earns salary of $55,000. Katherine will receive a salary increase of $2,500 per year .
max has a new job and earns a salary of $64,000. Max will receive a salary increase of $1,500 per year.
So, in the case they would have the same salary for some x years the expression can be
Katherine salary along with increment= 55000+ 2500x
Max salary along with increment= 64000+ 1500x
Hence, equation ca be used to find x, the number of years it will take Katherine to earn the same salary as Max is 55,000x+2,500x=64,000+1500x.
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Answer:
(a) 4.00×10^7 m
(b) 5.10×10^14 m^2
(c) 1.083×10^21 m^3
Step-by-step explanation:
Put the given value of radius into the various formulas and do the arithmetic. Your scientific calculator can show you the results in scientific notation.
C = 2πr = 2π·6.37×10^6 m ≈ 4.00×10^7 m* . . . circumference
A = 4πr^2 = 4π(6.37×10^6 m)^2 ≈ 5.10×10^14 m^2 . . . area
V = (4/3)πr^3 = (4/3)π(6.37×10^6 m)^3 ≈ 1.083×10^21 m^3 . . . volume
_____
* An early definition of the meter was 10^-7 times the distance from the North Pole to the Equator as measured through Paris, France.
The dimensions of the rectangle are: length= 18 in and width =1 in.
<h3>Quadrilaterals</h3>
There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
The area of a rectangle can be found for the formula : l*w, where b = length and w =width. The question gives that the area is 18 in².
For this question, the length exceeds its width by 17 inches - l=w+17. Thus, from the value of area given, you can find the values of the length and width of the rectangle.
A=l*w
18=(w+17)*w
18=w²+17w
w²+17w-18=0
Next step will be solve the previous equation ( W²+17W-18=0)
Therefore,
For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.
As, the area (l*w) is 18 in², you have.
18=l*w
18=l*1
l=18 in
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