Answer:
y = 2x - 6
Step-by-step explanation:
For parallel lines, the mx (the slope) stays the same but the y-int changes.
Please try this, it's a basic proof that I don't know how to do. Thanks!
1 answer:
A cube, is made off 6 squarial faces, so all faces on that cube, are squares, the front, back, left, right, top and bottom.
a square has all equal sides, and also all right angles, so all angles in a square are 90°. Let's say the sides are "x" long.
now, if we run a plane on that cube diagonally, check the picture below, the diagonal side at the bottom, by usin the 45-45-90 rule as you see it there, will be x√2.
let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.
and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.
if you need the angle in radians, run the inverse tangent again, just make sure your calculator is in radians mode.
a square has all equal sides, and also all right angles, so all angles in a square are 90°. Let's say the sides are "x" long.
now, if we run a plane on that cube diagonally, check the picture below, the diagonal side at the bottom, by usin the 45-45-90 rule as you see it there, will be x√2.
let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.
and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.
if you need the angle in radians, run the inverse tangent again, just make sure your calculator is in radians mode.
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Answer:
Benjamin travels 7 meters in 100 seconds.
Step-by-step explanation:
We are given the following in the question:
Circumference of tire = 2.8 m
Revolution of time = 1.5 times per minute.
Total time = 100 seconds.
We have to calculate distance covered by Benjamin.
Total number of revolution of tires =
Total distance covered by Benjamin =
Thus, Benjamin travels 7 meters in 100 seconds.
Answer:
The explicit formula is a = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a = first term; a
= a
+ d is a
= a + (n - 1)d, where
- a is the first term
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a = -1 and a
= a
- 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a = -1 + (n - 1)(-6)
∴ a = -1 + (-6)(n) - (-6)(1)
∴ a = -1 + -6n - (-6)
∴ a = -1 - 6n + 6
→ Add the like term
∴ a = 5 - 6n
∴ The explicit formula is a = 5 - 6n