The lengths of the diagonals of a rhombus are 2x and 10x. What expression gives the perimeter of the rhombus?
1 answer:
Answer:
Step-by-step explanation:
we know that
The sides of a rhombus are all congruent and the diagonals are perpendicular bisectors of each other
so
Applying the Pythagorean Theorem
where
c is the length side of the rhombus
a and b are the semi-diagonals
we have
substitute the values
To find out the perimeter of the rhombus multiply the length side by 4
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Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y =
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m = .
Therefore, the slope of the line perpendicular to the line given = because
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 = (x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.