Length of 8 in, width of 4 in, height of 2 1/4 in,
1 answer:
You might be interested in
Answer:
3.58
Step-by-step explanation:
Given :
y = 2x + 4 -------- eq1
y = 2x - 4 -------- eq2
sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.
Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2
This gives us y = 2(-2) + 4 = 0
Hence we get a point (x,y) = (-2,0)
Step 2: express equation 2 in general form (i.e Ax + By + C = 0)
y = 2x-4 -------rearrange---> 2x - y -4 = 0
Comparing with the general form, we get A = 2, B = -1, C = -4
Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).
substituting the values for A, B, C and (x, y) from the previous step:
d = | (2)(-2) + (-1)(0) + (-4) | / √(2² + (-1)²)
d = | -4 + 0 - 4 | / √(4 + 1)
d = | -8 | / √5
d = 8 / √5
d = 3.5777
d = 3.58 (rounded 2 dec. pl)
Answer:
6hrs
Step-by-step explanation:
First, we have to put the information given to us about the money they earn into an expression
let x represent the number of hours Kini and Duke work and y represent the total amount of money they earn in a week.
y(kini) = 9x + 8
y(duke) = 7.5x + 17
Now we subtract the x values and the constant values
9x - 7.5x = 1.5x
17 - 8 = 9
Make these into an equation
1.5x = 9
Divide both sides by 1.5 so x(the number of hours the both work) can stand alone.
x = 6 hrs