Hey there!
First, we want to put the equation of this first line in slope-intercept form.
5y=x-5
We divide both sides by 5.
y=1/5x-1.
The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.
So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.
y= -5x+b
Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.
0=-5(-1)+b
0=5+b
b= -5
So, this gives us the equation y= -5x-5
Have a wonderful day!
Answer:
+/- 1, 
....
Step-by-step explanation:
The Rational root theorem states that If f(x) is a Polynomial with integer coefficients and if there exist a rational root of the form p/q then p is the factor of the constant term of the function and q is the factor of the leading coefficient of the function
Given: f(x)= 9x^4-2x^2-3x+4
Factors of q (leading coefficient) are: +/-9, +/-3, +/-1
Factors of p (constant term) are: +/-4 , +/-2, +/- 1
According to the theorem we write the roots in p/q form:
Therefore,
p/q =+/- 1, ....
Answer:
2.4
Step-by-step explanation:
3 / 28 = 0.12
(we do this to see how many miles he ran in a minute)
0.12 x 20 = 2.4
(then we multiply how many miles he can run in 20 minutes)
-3|x+4|+16=7
-3|x+4|=7-16
-3|x+4|=-9
|x+4|=3
x+4=3
x+4=-3
x=-1
x=-7
X1=-7 X2=-1
Since
Is a perfect square, we can think of the "-6" at the end as a "+4-10" and we have
Which is the required form
