Answer:
Use Distance Formula
Step-by-step explanation:
You can find the distance between two points by using the distance formula which by definition is 
For example take question 3. Plug your point values in to find the distance
Point 1 is (-1, 8)
Point 2 is (-3, -2)
You equation would look like:
This simplifies to 
=
=
=
=
That is the distance between the points (-1, 8) and (-3, -2)
Answer:
Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16
Step-by-step explanation:
I don't know what you mean by benchmark but this is adding fractions. when you add fractions you must have the same denominator. 10 and 5 are not the same so you need to find the same denominators conveniently 2/5 is equivalent to 4/10 (by multiplying the fraction by 2) then you add the numerator straight across keeping the same denominator. that would be 5/10. Simplify to the is 1/2
The given ratio is 5 trumpet players : 2 tuba players.
A. Since the ratio is 5:2, at the smallest ratio there would be 7 players total (5+2). So tuba players would be 2/7, not 2/5.
B. If there are 7 total players, and the ratio is 5 trumpets : 2 tubas, then trumpets are in fact 2.5 times the number of tuba players (2 tubas *2.5 = 5 trumpets).
C. The ratio is 5 trumpet players : 2 tuba players, not 2 trumpet players for every 5 tuba players.
D. The ratio of tubas to total number of tubas and trumpets is
Answer:
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
Step-by-step explanation:
From the two points indicated on the graph
rise goes from -4 to -5 = -1
run goes from 1 to 3 = 2
m = slope = rise/run = -1/2
slope intercept form is
y = mx+b
to find "b" use either point
using (1, -4)
-4 = (-1/2)(1) + b
-4 = -1/2 + b
Add 1/2 to both sides
-3 1/2 = b
The equation is
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
