Answer:
These lines will be perpendicular when m = ³⁄₂
Step-by-step explanation:
Two lines are perpendicular when the product of their gradients equal to -1. So:
m₁ * m₂ = -1
Let's get the first equation in gradient-intercept form (same as equation two).
2x + 3y = 4
3y = -2x + 4
y = -⅔x + ⁴⁄₃
We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:
-⅔ * m₂ = -1
m₂ = ³⁄₂
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181
Answer:Where the graphs?
Step-by-step explanation:
Answer:
70 minutes
Step-by-step explanation:
Mary can type the number of letters in 20 minutes = 6
Maggie can type the number of letters in 20 minutes = 5
Su Ying can type the number of letters in 20 minutes = 2
Working together they can type the number of letters in 20 minutes
= 6 + 5 + 2
= 13 letters
Working together they can type the number of letters in 1 minute = 
To type 45 letters time taken by them = 
= 
= 
= 69.230 ≈ 70 minutes
It will take them 70 minutes to type 45 letters.
