Answer:
The distance r is
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
where
c is the hypotenuse
a,b are the legs
In this problem we have
substitute and solve for r
Answer: -2/5
(The two lines are parallel if their slopes are equal and they have different y-intercepts)
First, you need to use the points to come up with a m (slope). To do this you must use the equation m= y2-y1/x2-x1. label the x in one pair of coordinates x1 and the y, y1. Then label the other x in the other pair of coordinates x2 and the y, y2. use the equation and figure the slope. Next, put the easiest coordinates into point-slope form. The equation you are to use is... y-y1=m(x-x1). Input the values and then distribute the m inside the parenthesis. Then you should be able to do the rest. The final product should be in slope-intercept form.
Answer: 1000
Step-by-step explanation:
The number of combinations is equal to the product of the number of options for each tumbler.
Each tumbler has 10 possible numbers, and we have 3 tumblers, then the number of combinations is:
C = 10*10*10 = 10^3 = 1000
We have 1000 possible codes for the lock.
First, we can see that this is a reduction because ΔXYZ is larger than its dilation, ΔX'Y'Z'.
But by how much? We can compare two sides such as XY and X'Y' to see.
-> I am going to compare sides XY and X'Y' because they are fully vertical lines that we can count without needing to use a distance formula.
-> XY is 8 units long
-> X'Y' is 4 units long
-> 8 / 4 is a scale factor of 2
<h3>
Answer:</h3>
This is a reduction with a scale factor of 2.