Answer:
2(x - 9.46)(x + 2.54)
Step-by-step explanation:
2(x² - 12x + 24)
since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:
6+2
, 6-2
Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p
a. 1/2
b. 2 times
c. 1/4
d. 4 times
Answer:
4 times
Step-by-step explanation:
Given the following :
Distance between q and S (r) = 1 unit
Distance between P and S (r) = 2 × 1 unit = 2
According to coliumbs law:
F = Ke(q1q2) /r^2
Where F = electrostatic force, Ke = coloumbs constant
q1,q2 = charges, r = distance between two charges
For q and S :
Fsq = Ke(q1q2) / 1^2
Fsq = Ke(q1q2) - - - - - equation 1
For P and S :
Fsp = Ke(q1q2) / 2^2
Fsp = Ke(q1q2) / 4 - - - - - equation 2
Dibiding equation 1 by equation 2
Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4
Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)
Fsq / Fsp = 4 / 1
Using cross multiplication
Therefore, Fsq = 4 × Fsp
Answer:
1. $48
2.$49
3.$91
4.$12
Step-by-step explanation:
For 1 and 2
To find the sale price, you find out how much is the percentage of the original price. Example :
(20/100)/60 = $12
So $12 is the discount
thus sales price will be $60-$12=$48
Same thing for no.2, find the amount of the percentage and subtract it from the original price
For 3 and 4
To find the original price
1. Subtract the percentage from 100%
2. Multiply the sales price by 100
3. Divide the ans from no.2 by ans from no.1
Example :
100%-40%=60%
$54.60×100=5460
$5460÷60%= $91 (original price)
Same thing for no.4
Hope this helps haha
Answer:
B. <1 = 35, m<2 = 30
Step-by-step explanation:
To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.
80 + 65 = 145
180 - 145 = 35
<1 = 35
Repeat with the other side.
85 + 65 = 150
180 - 150 = 30
<2 = 30
Hope this helps!
Answer:
All of the whole numbers
Step-by-step explanation:
absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive
