Answer: y= 2x +4
Step-by-step explanation:
1. To be able to write the equation of the line, you want to be able to find the slope first. To do so, rearrange the given equation x+2y=2 into slope-intercept form, which is y=mx+b
First subtract x from both side, which will give us 2y=2-x. Rearrange this to get 2y= -x+2. Then, divide both sides by 2. This will give us y= -1/2x+1
2. Now that you have the equation, look for the slope in the new equation; this will be the m value. In this case, the slope is -1/2. Since we are looking for a line that is perpendicular, we have to change the slope so that it is the opposite reciprocal. The opposite reciprocal of -1/2 is 2, so the slope of the equation we want to find is 2.
3. Next, all we have to do is plug the given ordered pair (-5, -6) and the slope that we found (m=2) into the point-slope equation, which is 
That will give us:
y+6 = 2(x+5)
4. Now, solve this equation.
y+6 = 2(x+5) --> distribute the 2 inside the parentheses
y+6 = 2x + 10 --> subtract 6 from both sides
y= 2x +4
1. x
2. x + 2
3. x + 4
x + 4 + 2x = 25. Second option is the answer.
Combine like terms
3x + 4 = 25
Subtract 4 from both sides
3x = 21
Divide both sides by 3
x = 7
53 - 2(3)
53 - 6
47
Hope this helps!
1. Rational. It is non-terminating but repeating.
2. Irrational. It is non-terminating, non-repeating
3. Irrational. π is irrational
4. Rational. √49 is 7
5. Irrational. 22 is not a square.
Answer:
centre (3 ,-1) , r=9
Explanation:
The standard form of the equation of a circle is.
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
a
a
∣
∣
−−−−−−−−−−−−−−−−−−−−−−−−−
where (a,b) are the coordinates of the center and r , the radius.
For the given equation: a = 3 , b = -1 and r = 9
hence centre = (3 ,-1) and radius = 9
Step-by-step explanation: