The answer
there is no more explanation about this question, the solution can be found easily by applying the rule of transformation of rotation
for example, the properties of rotation transformation are:
A rotation preserves length but does not necessarily preserveslope of a line.
A 90° rotation ( 1/4 turn) anticlockwise about the origin changesthe point (x; y) to (-y; x).
A 180° rotation ( 1/2 turn) clockwise or anticlockwise about theorigin changes the point (x; y) to (-x;-y).
A 270° rotation ( 3/4 turn) anticlockwise changes about the originthe point (x; y) to (y;-x).
so the answer is
<span>R0, 270°</span>
I think it might be f^-1 (x) = x/2 - 3/2
I hope this helps!
From my research, the original system of equations contain the following equations:
<span>2x − y = −4
3x + 5y = 59
where obtained solution is x = 3
Among the choices, it is easier to substitute </span><span>3x + 5y = 59 with one of the choices to see if they yield the same solution set. From trial-and-error, the equation that can replace the original equation is " 13x = 39 ". Among the choices, it is the 4th choice.</span>
Answer:
255 m
Step-by-step explanation:
From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.
Thus,
For the aircraft, its height = +200 m
For the submarine, its depth = -55 m
So that the difference between the submarine and aircraft can be determined as;
200 - (-55)
= 200 + 55
= 255 m
The distance between the submarine and aircraft is 255 m.
Answer:
The correct answer is x = 17.
Step-by-step explanation:
If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.
Therefore, we can set up the equation:
DEF + FEG = DEG
However, since we know that DEF and FEG represent the same value, we can change this equation into the following:
2(DEF) = DEG
Now, we can substitute in the expressions that we are given:
2(3x+1) = 5x + 19
To simplify, we should first use the distributive property on the left side of the equation.
6x + 2 = 5x + 19
Our next step is to subtract 5x from both sides of the equation.
x + 2 = 19
Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.
x = 17
Therefore, the value of x is 17.
Hope this helps!
