Answer:
Step-by-step explanation:
Notice that the equation y = 5x - 16 is in slope-intercept form, or 
format. Whenever an equation is in slope-intercept form, the number in place of the 
, or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.
Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it 
. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is , so is the perpendicular slope.
I think the answer is 8, not sure though
Answer:
C, D and E
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.
solve 3x(x - 1)(x + 5) = 0
Equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 1 = 0 ⇒ x = 1
x + 5 = 0 ⇒ x = - 5
Vertical asymptotes at x = -5, x = 1 and x = 0
Answer:
The repulsive force is 
.
Step-by-step explanation:
Consider the provided information.
The coulomb's law to calculate the repulsive force: 
Where the value of k is 9.00×10⁹ Nm²/C²
Substitute the respective values in the above formula.
![F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-24\times10^{-9}C)^2}{[(13 cm)(\frac{1m}{100cm} )]^2}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%5Ctimes10%5E9%5Cfrac%7BN%5Ccdot%20m%5E2%7D%7Bc%5E2%7D%20%5Ctimes%28-24%5Ctimes10%5E%7B-9%7DC%29%5E2%7D%7B%5B%2813%20cm%29%28%5Cfrac%7B1m%7D%7B100cm%7D%20%29%5D%5E2%7D)
Hence, the repulsive force is .
Answer:
1) 4
2) 1
3) -7
4) 13
Step-by-step explanation:
Instructions:
a) Subtract or add the slope from each side
( it doesn't matter which one you pick )
b) Subtract or add the # next to the slope from each side
( it doesn't matter which one you pick )
c) Divide Each number by the slope
d You have you answer
____________________________________________
1) 9x - 35 = - 7x + 29
+7x + 7x
_____________________
16x - 35 = 29
+ 35 +35
_____________________
16x = 64
_____________________
16 16
x = 4
2). - 2x - 2 = 9x - 13
+2x +2x
_____________________
- 2 = 11x - 13
+ 13 + 13
_____________________
11 = 11x
_____________________
11 11
1 = x
3). 3x + 29 = - 5x - 27
+5x + 5x
_____________________
8x + 29 = - 27
-29 -29
_____________________
8x = -56
_____________________
8 8
x = -7
4). x - 11 = 3x - 37
- x - x
______________________
-11 = 2x - 37
+37 +37
______________________
26 = 2x
_______________________
2 2
13 = x
Hope this helps! (:
