Answer: 
Step-by-step explanation:
<u>Given:</u>
The coordinates of Point A: (8, 9)
The coordinates of Point B are unknown: (x, y)
The distance from A to B is 10 units
Then, using the distance formula:

Therefore,

<h2>
Step-by-step explanation:</h2>
Given equations;
y₁ = 3x - 8 -------------------(i)
y₂ = 0.5x + 7 --------------------(ii)
To fill the table, substitute the values of x into equations (i) and (ii)
=> At x = 0
y₁ = 3(0) - 8 = -8
y₂ = 0.5(0) + 7 = 7
=> At x = 1
y₁ = 3(1) - 8 = -5
y₂ = 0.5(1) + 7 = 7.5
=> At x = 2
y₁ = 3(2) - 8 = -2
y₂ = 0.5(2) + 7 = 8
=> At x = 3
y₁ = 3(3) - 8 = 1
y₂ = 0.5(3) + 7 = 8.5
=> At x = 4
y₁ = 3(4) - 8 = 4
y₂ = 0.5(4) + 7 = 9
=> At x = 5
y₁ = 3(5) - 8 = 7
y₂ = 0.5(5) + 7 = 9.5
=> At x = 6
y₁ = 3(6) - 8 = 10
y₂ = 0.5(6) + 7 = 10
=> At x = 7
y₁ = 3(7) - 8 = 13
y₂ = 0.5(7) + 7 = 10.5
=> At x = 8
y₁ = 3(8) - 8 = 16
y₂ = 0.5(8) + 7 = 11
=> At x = 9
y₁ = 3(9) - 8 = 19
y₂ = 0.5(9) + 7 = 11.5
=> At x = 10
y₁ = 3(10) - 8 = 22
y₂ = 0.5(10) + 7 = 12
The complete table is attached to this response.
(ii) To find the solution of the system of equations using the table, we find the value of x for which y₁ and y₂ are the same.
As shown in the table, that value of <em>x = 6</em>. At this value of x, the values of y₁ and y₂ are both 10.
Answer:
157.44 feet
Step-by-step explanation:
Given that:
Lance is out for sightseeing in Rome.
Lance went to see the Colosseum.
Height of the outer wall of the Colosseum = 48 meters
Unit Conversion formula:
1 meter = 3.28 feet
To find:
Height of the outer wall of the Colosseum in feet.
Solution:
It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.
We have to simply find how much 48 meters will be when converted in feet.
1 meter = 3.28 feet
48 meter = 48
3.28 = <em>157.44 feet</em>
2y is 2y, so it is equal to 17383.
IF you were looking for just y, than the answer is 17383/2 = y = 8691.5
Answer:
4
Step-by-step explanation:
Given that:
Total yards of satin bought by Maddie =
yards
Number of yards required make one ribbon =
yards
To find:
Number of complete bows that can be made ?
Solution:
First of all, let us learn about converting the mixed fraction to fractional form.
Formula:

Therefore, total yards of satin bought by Maddie can be written in fractional form as:

One hair bow requires
yards of ribbon.
Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.
Answer is:

4 hair bows can be made.