Answer:
x=62
Step-by-step explanation:
You set the two angles equal to each other and solve. See work attached for more.
Answer:
The solution set is {-6, -1}.
Step-by-step explanation:
Next time, please use " ^ " to denote exponentiation: y=x^2 + 7x + 6.
This function is easily factored: y = (x + 1)(x + 6).
Setting it = to 0 and solving for x yields the zeros {-1, -6}, which are also the "solutions."
You might consider graphing this function even tho' we already have the solutions here. The y-intercept of y = x^2 + 7x + 6 is (0, 6), and, as we have already seen, the zeros / roots / solutions are (-1, 0) and (-6, 0).
The vertex is found by evaluating x = -b/(2a), which here is x = -(7) / (2*1) = -7/2. Subbing -7/2 for x into y=x^2 + 7x + 6 yields the y-value of the vertex.
English please much preferred.
Answer:
Width = 3/4 units or 0.75 units
perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units
Step-by-step explanation:
A rectangle has two opposite sides equal in length. The 2 opposite sides are also parallel to each other.
The area of a rectangle = LW
where
L = length
W = width
The area of the rectangle = 3 3/4 units² = 15/4 units²
Length = 5 units
Therefore,
15/4 = 5W
multiply both sides by 4
15 = 20W
divide both sides by 20
W = 15/20
W = 3/4
Width = 3/4
Perimeter of the rectangle = 2L + 2W
Perimeter of the rectangle = 2(L + W)
Perimeter of the rectangle = 2(5 + 3/4)
perimeter of the rectangle = 2(23/4)
perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units
