Answer:
(-5, 4)
Step-by-step explanation:
To find the new coordinate, subtract 8 from the x value and add 7 to the y value:
3 - 8 = -5
-5 will be the new x coordinate
-3 + 7 = 4
4 will be the new y coordinate
So, the coordinate K will be (-5, 4) after the translation
Answer:
![y = 3x - 6](https://tex.z-dn.net/?f=y%20%3D%203x%20-%206)
Step-by-step explanation:
A linear function has the following format:
![y = ax + b](https://tex.z-dn.net/?f=y%20%3D%20ax%20%2B%20b)
In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.
Rate of change of 3
This means that ![a = 3](https://tex.z-dn.net/?f=a%20%3D%203)
So
![y = 3x + b](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%20b)
A solution at (6, 12).
This means that when x = 6, y = 12. So
![y = 3x + b](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%20b)
![12 = 3*6 + b](https://tex.z-dn.net/?f=12%20%3D%203%2A6%20%2B%20b)
![b = -6](https://tex.z-dn.net/?f=b%20%3D%20-6)
The linear function is:
![y = 3x - 6](https://tex.z-dn.net/?f=y%20%3D%203x%20-%206)
Answer
The equation shows this situation is Option (B) .
i.e G=2E+3
Reason
As given
Gary is 3 years older than twice the age of his sister (Elena) .
Let us assume that the age of the Gary be G.
Let us assume that the age of the Elena be E.
Than the equation becomes
E = 2G + 3
Therefore option (B) is correct .
<u>Part 1</u>
The gradient of the line is
, so the equation is
.
This means the system is
![y=-2x+5\\\\y=ax^2 +b](https://tex.z-dn.net/?f=y%3D-2x%2B5%5C%5C%5C%5Cy%3Dax%5E2%20%2Bb)
<u>Part 2</u>
Substituting in the coordinates (-3,11) and (2,1) into the equation of the parabola,
![11=9a+b\\\\1=4a+b](https://tex.z-dn.net/?f=11%3D9a%2Bb%5C%5C%5C%5C1%3D4a%2Bb)
Subtracting the equations, we get 10=5a, and thus a = 2
Substituting a = 2 back into the system, we get b = -7
<u>Part 3</u>
The equation of the parabola is
, and the turning point is at
. Therefore, the value of y is -7
HL is one of them of course
and
AAS for the right-angles as well as the other congruent angles
and
SSS for congruent Hyps and the legs of right angles.
It would be the fourth choice.