Hours of daylight and darkness are exactly equal on a(n) day. a. normal b. solstice c. revolutionary d. equinox select the best answer from the choices provided

The answer is D, equinox.

D. Equinox

Explanation:

The equinox is the point in which the sun is directly above of the equator, this creates an effect in the earth which is creating equal daylight and night time, we have equal 12 hours of daylight and 12 hours of night time, this us usually in the month of september, and this year it will be september 23rd.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7