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:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
Maximum height of quarter tower = 9.6 inches.
Step-by-step explanation:
The thickness of a quarter = inches
Weight of a quarter = 1 ounce
The maximum weight that could safely hold = 3 pounds.
<u>The conversion factor for ounce to pound is 1 ounce = 0.0625 pound</u>
The number of quarter used in the tower = no of ounces equivalent to 3 pounds.
No of ounces equivalent to 3 pounds =
No of ounces equivalent to 3 pounds = 48
So the height of quarter tower = 48 \times inches
= 9.6 inches.
Answer:
I usually explain even in the answer.
So we use something called distance formula which is branched of Pythagorean theorem.
But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.
The vertical is 1, you can find them by calculating how long is it and how tall.
Use pythogorean theorem from the formula and do 5^2+1^2 = c^2
25+1 = 26, so the answer is √26
I am pretty sure answer is right. Always take abolute value
<u>√26</u>