Answer:
11.2 miles
Step-by-step explanation:
What has been describe here is a right triangle.
He went 10 miles east, and he turned left and went 5 miles. He started at home ended at work. We want to make a road from his home directly to his workplace (no turns; straight there).
So we have by Pythagorean Theorem:
Square root both sides:
11.2 miles would be the length of that direct path.
Answer: 11x + 11
Step-by-step explanation:
This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus
y - y₁ y₂ ₋ y₁ y₂ ₋ y₁
------ = ---------- or y ₋ y₁ = --------- ˣ ( x - x₁ )
x - x₁ x₂ ₋ x₁ x₂ ₋ x₁
Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.
y - 6 -5 - 6 -11 -11
------ = -------- = ---- = -----
x - (-1) -1 - (-1) -1 + 1 0
y - 6 -11
------ = -----
x + 1 0 ,
Now we cross multiply to have a linear equation
0( y - 6 ) = -11( x + 1 )
0 = -11x - 11, now multiply by -1
The equation now becomes
11x + 11
Answer:
slope = -3
Step-by-step explanation:
1) Rearrange eqn into slope intercept form
slope intercept form: y = mx + b
where...
m = the slope
b = the y-intercept (where the line crosses the y axis)
3x + y = 12
y = -3x+12
2) Know parallel rule. A line that runs parallel has the same slope but a different y-intercept
So the slope is: -3
A.) x (5 + x) = 5x + x^2
B.) 2 (5 + x) = 10 + 2x
The answers are:
Diameter: 30m
Circumference: 94.24777960769379
Area: 706.8583470577 m<span>2
I hope this helps you. Good luck with your work!</span>
