Answer: You shouldn't hate trig.
Step-by-step explanation:
SinΘ= opposite/hypotenuse
SinΘ=y/x
Sin(16) = 9/x
x = 9/Sin(16)
x= 32.7 cm
1. 3x² + 12x - 15 = 0
x = <u>-(12) +/- √((12)² - 4(3)(-15))</u>
2(3)
x = <u>-12 +/- √(144 + 180)</u>
6
x = <u>-12 +/- √(324)
</u> 6<u>
</u> x = <u>-12 +/- 18 </u>
6
x = -2 <u>+</u> 3
x = -2 + 3 x = -2 - 3
x = 1 x = -5
--------------------------------------------------------------------------------------------
2. 5x² + 11x + 2 = 0
x = <u>-(11) +/- √((11)² - 4(5)(2))</u>
2(5)
x = <u>-11 +/- √(121 - 40)</u>
10
x = <u>-11 +/- √(81)
</u> 10
x = <u>-11 +/- 9</u>
10
x = -1¹/₁₀ <u>+</u> ⁹/₁₀
x = -1¹/₁₀ + ⁹/₁₀ x = -1¹/₁₀ - ⁹/₁₀
x = ¹/₅ x = -2
--------------------------------------------------------------------------------------------
3. 2x² - 11x + 14 = 0
x = <u>-(-11) +/- √((-11)² - 4(2)(14))</u>
2(3)
x = <u>11 +/- √(121 - 102)</u>
6
x = <u>11 +/- √(9)</u>
6
x = <u>11 +/- 3</u>
6
x = 1⁵/₆ <u>+</u> ¹/₂
x = 1⁵/₆ + ¹/₂ x = 1⁵/₆ - ¹/₂
x = 2¹/₃ x = 1¹/₃
--------------------------------------------------------------------------------------------
4. 2x² - x - 15 = 0
x = <u>-(-1) +/- √((-1)² - 4(2)(-15))</u>
2(2)
x = <u>1 +/- √(1 + 120)</u>
4
x = <u>1 +/- √(121)</u>
4
x = <u>1 +/- 11</u>
4
x = ¹/₄ <u>+</u> 2³/₄
x = ¹/₄ + 2³/₄ x = ¹/₄ - 2³/₄
x = 3 x = 2¹/₂
<u />
Answer:
Step-by-step explanation: I have no idea
The correct answer is: [C]: " (0, 24) " .
___________________________________________________________
Explanation:
___________________________________________________________
Given the quadratic function:
___________________________________________________________
→ " y = (x <span>− 8) (x + 3) " ; </span>← Note: Replace the "f(x)" with: "y" ;
→ Find the "y-intercept".
___________________________________________________________
→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .
→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;
→ " y = (x − 8) (x + 3) " ;
→ y = (0 − 8) (0 + 3) ;
→ y = (-8) * (3) ;
→ y = - 24 ;
___________________________________________________________
So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
the point at which: "x = 0 ; y = -24 " ;
→ that is; the point the coordinates: " (0, - 24) " ;
___________________________________________________________
→ which is: Answer choice: [C]: " (0, - 24) " .
___________________________________________________________
Answer:
A. 80-5x
Step-by-step explanation:
Let the number of rides be represented by = x
Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on x right so far.
The number of rides Thomas has been on so far= 5 × x = 5x
The expressions to show the number of tickets that Thomas has left is written as:
80 - 5x
Option A is the correct option.
