Answer:
Step-by-step explanation:
To find the slope of the equation use 
.
So, 
= 
. Now we can use our slope and any of the two points to write in point-slope form, which is 
. Using the point (7,-6), the formula will give .
To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.
I am a number greater than 40,000 and less than 60,000:
40,000 < n < 60,000
This means that:
n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄
And also:
4 ≤ n₁ < 6
0 ≤ n₂ ≤ 9
0 ≤ n₃ ≤ 9
0 ≤ n₄ ≤ 9
My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:
n₁ = 3*2n₄ - 1
n₁ = 6n₄ - 1
This means that:
n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄
n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄
n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃
<span>My thousands digit is half my hundreds digit, and the sum of those two digits is 9:
n</span>₂ = 1/2 * n₃
<span>
n</span>₂ + n₃ = 9
<span>
Therefore:
n</span>₂ = 9 - n₃
<span>
Therefore:
9 - n</span>₃ = 1/2 * n₃
<span>
9 = 1/2 * n</span>₃ + n₃
<span>
9 = 1.5 * n</span>₃
<span>
Therefore:
n</span>₃ = 6
<span>
If n</span>₃=6, n₂=3.
<span>
This means that:
</span>n = 60,011n₄ - 10,000 + 1,000*3 + 100*6
n = 60,011n₄ - 10,000 + 3,000 + 600
n = 60,011n₄ - 6,400
Therefore:
0<n₄<2, so n₄=1.
If n₄=1:
n = 60,011 - 6,400
n = 53,611
Answer:
53,611
The answer is 16.5. because of the 2 after the 5, you keep it the same
Answer:
51
Step-by-step explanation:
sum of exterior angles = 360
64 + 60 + 69 + 42 + x + x +23 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
x = 51
Answer:
342 inches, or 28.5 feet, or 9.5 yards
Step-by-step explanation:
It is perhaps easiest to start with all the dimensions in inches.
13.5 ft = (13.5 ft)(12 in/ft) = 162 in
3.5 yd = (3.5 yd)(36 in/yd) = 126 in
Then the total of the lengths of ribbon is ...
54 in + 162 in + 126 in = 342 in
Converting to feet, we get ...
(342 in)/(12 in/ft) = 28.5 ft
And converting to yards, we get ...
(342 in)/(36 in/yd) = 9.5 yd
The total length of ribbon is 342 inches, or 28.5 feet, or 9.5 yards.
