the whole exam will be 100%, and let's say that's "x" questions, but we also know that 9 is 60% of that so
There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back ( you don
1 answer:
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Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
3
Using (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 6)
m = =
= - 2
Since the line passes through the origin (0, 0) then y- intercept is 0
y = - 2x ← equation of line
4
let (x₁, y₁ ) = (6, 0) and (x₂, y₂ ) = (0, 3)
m = =
= -
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - x + 3 ← equation of line
5
let (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (-2, - 3)
m = =
= 3
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.
