Answer:
The distance between the points (4,3) and (1,-1) is C. 5 units.
Step-by-step explanation:
Answer:
2348.25 m or 2348 1/4
Step-by-step explanation:
101/2 x 15 1/2 x 3 = 2348.25
The number of 30- period until the value if the give card be equal is 20 30- day period
<h3>How to write and solve equation</h3>
let
- Number of 30- day period = x
Card 1:
50 - 2x
Card 2:
40 - 1.50x
50 - 2x = 40 - 1.50x
50 - 40 = -1.50x + 2x
10 = 0.50x
- divide both sides by 0.50
x = 10/0.50
x = 20
In conclusion, it will take 20 30- day period until the value of the given card can be equal.
Complete question:
Tavon has a $50 gift card that loses $2 for each 30-day period it is not used. He has a $40 card that loses $1.50 for each 30-day period it is not used.
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Given:
Cost of bracelet without charm - $85
cost of each charm - $15
Function notation: f(x) = 15x + 85
The price of the bracelet depends on the number of charms they will buy. x represents the number of charms they will buy.
The reasonable domain for this function is at least 1. They must buy at least 1 charm because they intend to buy their mom a silver charm bracelet.
If their budget is 250
250 = 15x + 85
250 - 85 = 15x
165 = 15x
165/15 = x
11 = x
They can buy at most 11 charms without going beyond their budget.
The equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8
<h3>Equation of a line</h3>
The equation of a line in slope intercept form is expressed as;
y = mx + b
The equation of the perpendicular bisector will be given as y = -1/m x+ b
where
m is the slope
b is the y-intercept
Determine the slope
Slope = -1-5/9-3
Slope = -6/6
Slope = -1
For the y-intercept
-1 = -1(9) + b
-1 = -9 + b
b = 8
Determine the equation
y = -1/m x + b
y = -1/(-1) x + 8
y = x + 8
Hence the equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8
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