Perpendicular lines have opposite, reciprocal slopes. I'll show you 2 ways to solve.
y - (-4) = (-1/2)(x - 8)
y + 4 = (-1/2)x + 4
y = (-1/2)x
orrrr...
-4 = (-1/2)(8) + b
-4 = -4 + b
b = 0
Well, we don't write "+ 0" because that's just extra work.
y = (-1/2)x
Note if you see an equation like this, know that b (our y-intercept) is 0. If you see something like y = 7, then the slope is 0, but 0 times our x-value would equal 0 and that's also unnecessary.
Please mark brainlest
1/6p - 4/5
Explanation: -2/3p needs to have the same denominator as 5/6p so they can combine. (Note, whatever sign is in front of a number determines if it is negative or positive. Your equation indicates that the bolded parts are negative and the other parts are positive: -2/3p + 1/5 - 1 + 5/6p. So what we are really doing in an equation like this is combining some numbers together)
-2/3p and 5/6p and the least common multiple of six, so we adjust the numbers to each have a denominator of 6. 5/6p is already there, so we need to adjust -2/3p.
We can multiply both the numerator and denominator by 2 to turn -2/3p into -4/6p. -4/6p has the same value as -2/3p, and now it also has the same denominator as 5/6p!
We then have to combine like terms, therefore combining -4/6p with 5/6p. When adding together fractions, the denominator does not change (this is why both numbers must have the same denominators). So our answer will be _/6p. So we combine -4 with 5, giving us one.
Therefore, -2/3p combined with 5/6p is 1/6p.
Now we have to combine our other set of like terms, 1/5 and -1. We can do this the same way that we combined the other numbers.
1/5 and -1 need the same denominator. This is simple because 1 can easily be figured out with any denominator, as long as the numerator and denominator are the same. This would make 1 = 5/5. But we need it negative, so it would be -5/5.
Now that we have common denominators, we can combine!
1/5 - 5/5
Remember what we said before, the solution will have the same denominator, so all we need to do is (in this case) subtract the numerators.
1 - 5 = 4
So that would be -4/5.
With the like terms combined, we just need to put our two combinations (1/6p and -4/5) together!
Our answer: 1/6p - 4/5
I hope that helps!
10.001 I think Is correct and good luck!
Answer:
x= 1.5 Hope that helps!
Step-by-step explanation:
1. 12(5x-4.5)=36 First Divide both by 12 5x-4.5-36/12 = 3
2. 5x-4.5=3 add 4.5 to both sides
3. 5x= 3+4.5 = 7.5
4. 5x=7.5 divide both sides by 5 x=7.5/5= x=1.5
So, x=1.5 would be your answer. Can you make me Brainliest Please
