slope intercept form is: y = mx + b
Isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 5 from both sides
y + 5 (-5) = 0 (-5)
y = 0 - 5
y = 5
slope (the number signified by m that is next to x): 0
y-intercept (the b): 5
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Divide $3.75 by 12 (a dozen)
He paid about 31 cents per daisy
Answer:
The ratio represents the tangent of ∠I
Step-by-step explanation:
Let us revise the trigonometry ratio
In Δ HIJ
∵ m∠J = 90°
- Hypotenuse is the side which opposite to the right angle
∴ HI is the hypotenuse
∵ HJ = 3 units
∵ IH = 5 units
- Let us use Pythagoras Theorem to find HJ
∵ (HJ)² + (IJ)² = (IH)²
∴ 3² + (IJ)² = 5²
∴ 9 + (IJ)² = 25
- Subtract 9 from both sides
∴ (IJ)² = 16
- take √ for both sides
∴ IJ = 4 units
To find the tangent of ∠I find the opposite and adjacent sides to it
∵ HJ is opposite to ∠I
∵ IJ is adjacent to ∠I
- use the rule of tan above
∴ tan(∠I) =
∴ tan(∠I) =
The ratio represents the tangent of ∠I
Hey there! :)
Answer:
C. {x² + 4, x < 2
{-x + 4 x ≥ 2
Step-by-step explanation:
This is a piecewise function, where the two equations are different. They are:
y = x²+ 4
y = -x + 4
The function x² + 4 is graphed where x < 2. (< is used because the circle is open)
The function -x + 4 is graphed where x ≥ 2. (≥ is used since the endpoint is closed)
Therefore, the correct answer is:
C. x² + 4, x < 2
-x + 4 x ≥ 2