Answer:
Since the lines are Perpendicular..
The Product of their Gradients = -1
m'm"=-1
m' from y=3x - 5 is 3
3.m" = -1
m" = -1/3.
Since Intercept on y axis = -2...
That of x at that point is =0
y-y' = m"(x-x")
y-(-2) = -1/3( x - 0)
y+2 = -1/3(x)
Multiplying through by 3
3y + 6 = -x
3y + x = -6. This is your Equation
To verify this.
Let's turn it into the Intercept form which is
x/a + y/b = 1
To get 1 at the right hand side... Divide through by -6
3y/-6 + x/-6 = 1
y/-2 - x/6 = 1
You could see directly below y is its intercept and thats -2
Answer:
Check attachment for orderliness of question
Step-by-step explanation:
We want to the equation in an exact form
M(x, y) dx + N(x, y) dy = 0.
xy² dy/dx = y³− x³
Cross multiply
Then,
xy²dy=(y³-x³)dx
xy²dy - (y³-x³)dx = 0
xy²dy + (x³-y³)dx=0
Therefore,
(x³-y³)dx + xy²dy=0
Can only be an exact equation if and only if
dM/dy=dN/dx
From the equation
M=(x³-y³)
Then, dM/dy=-3y²
Also, N=xy²
dN/dx=y²
Since dM/dy ≠ dN/dx
Then it is not an examct equation and we can say
M≠(x³-y³)
And
N≠(xy²)
Answer:
$187.50 for shirts + The price for the hats.
Step-by-step explanation:
7.50 x 25 =the price for the shirts and 5 x K= the price for hats
K= how many camp counselors need hats.
in all add 187.50 and the price for the hats.
Answer: 77 - 10 = 67, and the additive inverse of 77 - 10 is 77 + 10. 77 + 10 = 87.
Hope this helps! This question was kind of confusing for me, because I didn’t understand why you said to add 77 - 10… is this is the incorrect answer sorry your question was worded weird
