First you want to find the slope of the reference line. We are given a line in standard form ax+by=c, and we can rearrange this into point slope form, y=mx+b where m=slope.
2x+3y=-5 subtract 2x from both sides
3y=-2x-5
y=(-2x-5)/3
So the slope of the reference line is -2/3
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1 ie: the product of the slopes is negative one.
In this case our perpendicular line must have a slope of:
m(-2/3)=-1
-2m=-3
m=3/2
m=1.5
So far we now have:
y=1.5x+b, using the point (-6,1) we can solve for b, the y-intercept...
1=1.5(-6)+b
1=-9+b
10=b
So the perpendicular line is:
y=1.5x+10
Answer:
x < 9/55
Step-by-step explanation:
55x+2 is less than 11
we subtract 2 from both sides, then we divide both sides by 55.
x is less than 9/55
Step-by-step explanation:
Hey there!
Here, The equations are:
y = x+1........(i)
4x + y = 6........(ii).
Now,
Putting equation (i) in (ii)
4x + y = 6
4x + (x + 1) = 6
5x + 1 = 6
5x = 6-1
Therefore, x= 1
Putting the value of x in equation (i).
y = x+1
y = 1+1
Therefore the value of y is 2.
<u>Check</u><u>:</u>
y = x+1
2 = 1+1
2=2 ( True ).
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
It would be 3.75 or you can say 3 3/4
Answer:
0, ±1, ±7,±1/3, and ±7/3
Step-by-step explanation:
In the function:
3x^5 - 2x² + 7x
x can be extracted as the greatest common factor, as follows:
x(3x^4 - 2x + 7)
then, zero is one root of the function.
According to Rational Root Theorem:
possible rational roots = factors of the constant/factors of the leading coefficient
For this case, factors of the constant (7) are: ±1 and ±7
For this case, factors of the leading coefficient (3) are: ±1 and ±3
Then:
possible rational roots = ±1/±1, ±7/±1, ±1/±3 and ±7/±3. Simplifying: ±1, ±7,±1/3, and ±7/3
