Hello,
x² + 5x + 6 = 0
a = 1 ; b = 5 ; c = 6
∆ = b² - 4ac = 5² - 4 × 1 × 6 = 25 - 24 = 1 > 0
2 solutions :
S = { -3 ; -2}
To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!
B is the first term
c is the common ratio
if the first term is x and the 2nd is y then x times c=y
so
-5 times what=10?
what=-2
c=-2
the first term is -5
-5(-2)^(n-1)
b=-5
c=-2
Answer:
2. Line RT = 11x - 17, Line PT= 5x + 13
11x - 17 = 5x + 13
11x - 17 = 5x + 13
-5x. -5x
6x - 17 = 13
+17. +17
6x= 30
÷6. ÷ 6
x = 5
(B). According to the rules of a parallelogram, if angle S is 50°, the angle on the same side will be supplementary to it. So, angle R equals 130° and angle Q is also 50°.
