3 years ago

What are the solutions to the equation 3x2 + 3x +7 = 0?

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

7 0

Answer:

x is equal to 0.94 and -1.94

Step-by-step explanation:

3x² + 3x + 7 = 0

9x² + 9x + 21 = 0

9x² + 9x + 2.25 = 18.75

(3x + 1.5)² = 18.75

3x + 1.5 = ±√18.75

3x = -1.5 ±√18.75

x = (-1.5 ±√18.75) / 3

x = 0.94, -1.94

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(Two office buildings are 51 m apart. The height of the taller building is 207 m. The angle of depression from the top of the ta

Sholpan [36]

See the attached figure to better understand the problem

we know that

in the triangle ABC
tan 15=AC/BC--------> AC=BC*tan 15
BC=51 m
AC=51*tan 15------> AC=13.67 m

the height of the shorter building=207-AC----> 207-13.67----> 193.33 m
the height of the shorter building=193 m

the answer Part a) is
the height of the shorter building is 193 m

Part b) how does the angle of depression from the top of the taller building relate to the angle of elevation from the top of the shorter building

we know that

the angle of depression is equals to the angle of elevation
so

the answers are
A:They are congruent
D:They are alternate interior angles