Using the picture:
Between (-3, -4) and (5, -4) is:
The difference is in the x units: 5 - (-3) = 5 + 3 = 8
Between (5, 2) and (5, -4) is:
The difference is in the y units: 2 - (-4) = 2 + 4 = 6
We know the shape is a right angled triangle:
By applying Pythagoras' Theorem:
let the hypotenuse be x:
x² = 6² + 8²
x² = 36 + 64
x² = 100
Take square root of both sides
√x² = √100
x = 10
Distance between the 2 points = 10 units.
Option D.
Answer:
(1/3)^2 m^2
Step-by-step explanation:
Because Area of square = A = x*x
here x = 1/3 m.
so A = (1/3 m)*(1/3 m) = (1/3)^2 * m^2
set up a table (multiply across and add down - <em>don't add the middle column). Use the equation created by the "Total" row to solve for the variable.</em>
Quantity (times) % equals Total
Sol'n 1: x * .80 = (x)(.8)
<u>Sol'n 2: 15 - x * .30 = (15 - x)(.3)</u>
Total: 15 * .50 = .8x + .3(15 - x)
15(.5) = .8x + 4.5 - .3x
7.5 = .5x + 4.5
3.0 = .5x
6 = x
Answer: 6 liters of 80% and 9 liters of 30%
Answer:
45
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the three numbers be x, y, z
So from the problem given we can get the equations as
:
x + y+z= 66
x=2y
z=1x/3
Now we will make equation 1 have only one variable using equation 2 and 3.
y=1x/2 since x=2y
Now using equations 1, 3 and 5 we will get
x+1x/2+1x/3=66
11x/6=66
x= 66*6/11
x= 36
y=x/2=36/2=18
z=x/3=36/3=12
Therefore:
x = 36
y=18
z=12
