Answer:
x=6
Step-by-step explanation:
2x+(4x+3)=39
2x+4x+3=39
6x+3=39
6x=39-3
6x=36
x=36÷6
x=6
A triangle solver tells you
C = 85° b ≈ 8.4 c ≈ 10.4From the sum of angles of a triangle,
C = 180° -42° -53° = 85°
From the law of sines
b = sin(53°)/sin(42°)*7 ≈ 8.355
c = sin(85°)/sin(42°)*7 ≈ 10.422
Answer:1000
Step-by-step explanation:
Answer:
f(x):

g(x)

Step-by-step explanation:
When a function is of the form:

The equation of the axis of symmetry is

The given function is

We can see that h=-4
Hence the equation of axis of symmetry is

From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.
This line is

Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft