Write an equation of the line that passes through (-5, -2) and is parallel to y = 2/3x+1
1 answer:
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The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1
_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1
_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
Answer:
Step-by-step explanation:
we know that
An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)
so
The perimeter is equal to
where
b is the length side of the equilateral triangle
we have
substitute
solve for b
Find the area
The formula of area applying the law of sines is equal to
substitute the value of b
Answer:
5 units
Step-by-step explanation:
If DG, EG and FG are perpendicular bisectors of the sides of triangle ABC, then point G is the circumcenter of the triangle ABC and
BG = AG = CG as radii of the circumcirle.
Consider right triangle BEG. By the Pythagorean theorem,
This gives us that
AG = BG = 5 units