Hello :
let : z = 4-3ii z' = -2+7i
the distance between the points 4-3i and -2+7i is : <span>|z - z' |
</span> |z - z' | = |4-3i+2-7i| = |6-10i | =√(6²+(-10)²) =√136
Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
Answer:
16 blueberries and 4 strawberries
Step-by-step explanation:
Given:
A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.
The ratio blueberries to strawberries is 4 to 1
Question asked:
How many of each berry are in the bowl ?
Solution:
Ratio of blueberries and strawberries = 4 : 1
Let ratio be 
Number of blueberries in the bowl = 
Number of strawberries in the bowl = 
As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

Dividing both sides by 5

Number of strawberries in the bowl =
= 4
Number of blueberries in the bowl =
= 
Thus, there are 16 blueberries and 4 strawberries in the bowl.
Answer:
A quarter
of one lap of the track.
Step-by-step explanation:
Three students ran ran a relay and took turns running equal parts of the track.
The race was three-fourths of a lap long.
Let the length of one lap of the track=x
The length of the race
Since each of the students ran equal part,
Length run by each student

Therefore, each student ran a quarter
of one lap of the track.