Hello!
To be perpendicular to x = 4, the line must be y = something. This eliminates answer choices #2 and #4. Also, to pass through the point (.5, 7), the line must be y = 7.
So answer choice #3.
Hope this helps!! Let me know if you have ANY questions.
Expanded form means breaking the number into addition.
408,032,009 = 400,000,000 + 8,000,000 + 30,000 + 2,000 + 9
A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.
We can use the Pythagorean formula to find the other leg of the right triangle.
a²+b²=c²
Where a and b are the legs of the triangle and c is the hypotenuse.
According to the given problem,
one leg: a= 5m and hypotenuse: c=13√5 m.
So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,
5²+b²=(13√5)²
25 + b² = 13²*(√5)²
25 + b² = 169* 5
25+ b² = 845
25 + b² - 25 = 845 - 25
b² = 820
b =√ 820
b = √(4*205)
b = √4 *√205
b = 2√205
b= 2* 14.32
b = 28.64
So, b= 28.6 (Rounded to one decimal place)
Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).
First, move like terms on one side. Next, add them and divide. See the attachment for solution.
Answer:
Option B - 
Step-by-step explanation:
Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles.Suppose a star is 14.4 light years from earth.
To find : In scientific notation, how many miles away a star is from earth?
Solution :
One light-year is the distance that light can travel in one year is = 5,880,000,000,000 miles.
In scientific notation, 
miles.
In 14.4 lights year the distance is 
In 14.4 lights year the distance is 
or
Therefore, Option B is correct.
