Use a(b-c) = ab - ac
5(x-3) + 2x = 41
5x - 15 + 2x = 41
7x - 15 = 41
7x = 56
x = 8
Answer:
For a line to be parallel it must have the same slope. So the slope of the new equation is 6.
The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....
-5=6(3)+b
Solve for b (the y-intercept)
b= -23
Therefore.... y=6x-23
??? does that help????
Answer:
3/8
Step-by-step explanation:
1. We list all codes that start with 0 and have 0 as second digit:
2. We list all codes that start with 0 and have 1 as second digit:
3. We list all codes that start with 1 and have 0 as second digit:
4. We list all codes that start with 1 and have 1 as second digit:
5. We find the number of codes which have exactly 2 zeros: 6 codes
6. The total number of outcomes is: 16 codes
7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8
Answer:
= - √3/3
Step-by-step explanation:
Tan ( 11π/6)
= Tan ( (12π - 11π)/6)
= Tan ( 2π - π/6)
using Tan ( A - B) = (Tan A - TanB)/(1 + TanATanB)
A = 2π B = π/6
= (Tan 2π - Tan π/6)/( 1 + Tan2π * Tan(π/6)
Tan 2π = 0
=> ( 0 - Tan π/6)/(1 + 0)
= - Tan π/6
Tan π/6 = √3/3
= - √3/3
Answer:
4.6
Step-by-step explanation:
x³-6x=72
x³-6x-72=0 .... a solution between 4 and 5
x=4 x³-6x-72= 64-24-72 = -32
x=5 x³-6x-72= 125-30-72 = 23
we have to find an x value that makes x³-6x-72 --> 0
see the attachment, we can find the 0 value of x is between 4.63 and 4.64
‘to 1 decimal place’ of the solution is: 4.6 (4.63 is too small and 4.64 is too big)