Answer:
x = - 
, x = 
Step-by-step explanation:
Given
x² - x - 
= 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
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 = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
Answer:
Earths moon:
Scientific: 7.35x10^22
Standard:73500000000000000000000
for the rest im only going to give you the scientific method
Mercury: 3.205x10^23
Venus 4.867x10^24
Jupiter 1.898x10^27
Saturn 5.683x10^26
Uranus 8.681x10^25
Neptune 1.024x10^26
Phobos 10.6x10^15
Ariel 1.27x10^21
Titan 1.3452x10^23
I hope this helps
Answer:
We can use the sine law to find h. First, we determine the angle between the line of sight and h:
180 - 90 - 39 = 51 degrees
The sine law states that the ratio of one triangle's angle to the opposite side's length is the same as another angle to its opposite side's length, so we can solve for h as follows:
h/sin(39) = 500/sin(51)
h = 500*sin(39)/sin(51)
When we round to the nearest whole number, we get h = 405 ft.
Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.
Step-by-step explanation:
Answer:
c) 12/15 = 4/5
Step-by-step explanation:
imagine we mirror the triangle up, so that Z is on top.
then you can clearly see that 6 is cos(X) times r (and r is then 7.5).
XY is sin(X)×7.5
and again, 7.5 is r (the line making the X angle).
so, the cosine ratio of X is
6 = cos(X)×7.5
cos(X) = 6/7.5 or then 12/15. or simplified 4/5.
