Based on the equation, the coordinate point is (-4, 2). It is -4 because in the original equation, it's
, but because it's positive, that must mean it was originally a negative. Why? Because a negative times an negative equals a positive.
Now, let's convert this to Slope-Intercept Form.
y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3
The slope of the line is 2/3 and the original point was (-4, 2).
Answer:
The two cars will be almost 188 miles far from each other.
Step-by-step explanation:
Travel Time for Car 1 = t = 3.5 hours
Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours
Average speed of car 1 = 40 mph
Average speed of car 2 = 50 mph
Distance traveled by Car 1 = 40*3.5 = 140 miles
Distance Traveled by Car 2 = 50*2.5 = 125 miles
As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:
altitude = a = 140
base = b = 125
Distance of cars after 3.5 hours = c = ?
According to Pythagoras theorem:
c^2 = a^2 + b^2
c^2 = 140² + 125²
c² = 19600+15625
c = √35225
c = 187.68
Almost 188 miles.
Actually, this is not about angles. It's about the length of the sides in a right triangle.
In EVERY right triangle, the squares of the lengths of the short sides add up
to the square of the length of the longest side. You're in high school math,so
I'm SURE you've heard that in class before ... possibly even just before you
were assigned this problem.
Let's say that again: The squares of the lengths of the sides that meet at
the right angle add up to the square of the length of the longest side. In
the triangle in this particular problem, that means
a² + b² = c²
You know the lengths of 'b' and 'c', so you shouldn't have any trouble finding
the length of 'a'.
The formula for probability is # of favorable outcomes divided by the total number of outcomes.
So we know that there are a total of 5 letters. The child writes two letters, so we will have x/5 * x/5. Now, it is asking, what is the probability that they are both vowels.
We can see that a, i, and e are vowels, so the probability if the child were to write one letter would be 3/5. Since he is writing 2, you can multiply 3/5 * 3/5, which would give you your answer, 9/25. Therefore the probability that both letters are vowels is 9/25.
Hope this helps! Please rate, leave a thanks, and mark a brainliest answer. (Not necessarily mine). Thanks, it really helps! :D
Answer:
(4x10)^3=64,000
Step-by-step explanation:
p please mark brainliest
