Answer:
682,000 miles
Step-by-step explanation:
Using the ratio of 186,000 miles per second:
we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon
where 'x' is the number of miles between the earth and the moon
Cross-multiply: x = 186,000*
Solve for x = 682,000 miles
Answer:
= (x -1)(x + 1)(x - 4)(x + 4)
Step-by-step explanation:
At first, let us find the first two factors of
∵ The sign of the last term is positive
∴ The middle signs of the two factors are the same
∵ The sign of the middle term is negative
∴ The middle signs of the two factors are negative
∵ = x² × x² ⇒ first terms of the two factors
∵ 16 = -1 × -16 ⇒ second terms of the two factors
∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term
∴ (x² - 1) and (x² - 16) are the factors of
Now let us factorize each factor
→ The factors of the binomial a² - b² (difference of two squares) are
(a - b) and (a + b)
∵ x² - 1 is the difference of two squares
∴ Its factors are (x - 1) and (x + 1)
∵ x² - 16 is the difference of two squares
∴ Its factors are (x - 4) and (x + 4)
∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)
∵ (x² - 1) and (x² - 16) are the factors of
∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of
∴ = (x -1)(x + 1)(x - 4)(x + 4)
Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:
Let us try to find out and
. After that we will compare them.
<u>Finding </u><u>:</u>
Side EG is a straight line so
is sum of internal
and external
<u>Finding </u><u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external =
Comparing equations (1) and (2):
It can be clearly seen that:
The two angles of are equal hence
is isosceles.
