The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
Step-by-step explanation:
The given is,
Two points are (2,-2) and (0,-9)
Step:1
By graphical method,
For two points (2,-2) and (0,-9)
First point (2,-2)
The values of x=2 and y=-9 noted in the graph
Second point (0,-9)
The values of x=0 and y=-9 noted in the graph
Now join the two points, measure the distance between the two points,
Distance between points are 7.3 units.
( OR )
Step:1
By formula method,
Distance = 
Where,
( 2,-2) are (
)
(0,-9) are (
)
From the values,
= 
= 
= 
= 
= 7.280
≅ 7.3
Distance = 7.3
Result:
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
(6,-2) are coordinates to Naya’s house
Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q
Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters.
p + d + p = 43 (1)
p = d (2)
p +10d +25q = 451 (3)
Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.
Put the results of 2 into 1.
2p + q = 43 (4)
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q = 451 (5)
Solve the new equations
2p + q = 43 (4)
11p + 25q = 451 (5)
Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075 (6) Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624 Divide by 39
p = 624 / 39
p = 16
Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11
Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275 = ?
451 = ?
Nice problem. Thanks for posting.
All rectangles are parallelograms. Hope this helps.
Answer:
24 ft
Step-by-step explanation:
Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.
So, 10/15 = 16/___. Cross multiple and you get 24ft!
