Answer:
Step-by-step explanation:
If two lines are parallel, that means their slopes are equal.
And we also know that the line must pass through (-6,7)
And with our point-slope equation, we get the equation:
![y-7 = -\frac{5}{2} (x+6)](https://tex.z-dn.net/?f=y-7%20%3D%20-%5Cfrac%7B5%7D%7B2%7D%20%28x%2B6%29)
<------ Answer
Hope that helps!
Answer:
Distance/2 hours
Step-by-step explanation:
Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.
Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.
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Answer:
The answer is A
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Means back the numbers into multiples of several small numbers
Like:; 1. We take LCM of 40
Just break into multiples of small number
40= 2×2×2×5
2. We take LCM of 50
50= 5×5×2
So LCM for 100 is 2×2×5×5
after that see the pairs in the LCM like 2×2 or 3×3 or 4×4(same numbers)
Then write the the single number in place of two multipled numbers
Like:; 2×2 is written as 2 // 3×3 is written as 3
So we can write 100 into 2×2×5×5 and then after selecting pairs (2×2)×(5×5)
write pairs in single number 2×5
And so we get 2×5=10
So we find root of 100 that is 10
Answer:
The height is 12.9m
Step-by-step explanation:
First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
h² = s1² + s2²
h² = 10² + 20²
h² = 100 + 400
h² = 500
h = √500
h = 22.36
Now that we know this measurement we can calculate the height of the flagpole
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 30
a: adjacent = 22.36
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 30 = o/22.36
tan30 * 22.36 = o
12.9 = o
The height is 12.9m