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What is the solution to this equation? 4(3x + 5) = 5(x + 4) + 7x
1 answer:
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Answer:
The standard form of the given circle is
Step-by-step explanation:
Given that the end points of a diameter of a circle are (6,2) and (-2,5);
Now to find the standard form of the equation of this circle:
The center is (h,k) of the circle is the midpoint of the given diameter
midpoint formula is
Let and
be the given points (6,2) and (-2,5) respectively.
Therefore the center (h,k) is
now to find the radius:
The diameter is the distance between the given points (6,2) and (-2,5)
Therefore the radius is
i.e.,
Therefore the standard form of the circle is
Now substituting the center and radiuswe get
Therefore the standard form of the given circle is
Answer:
Step-by-step explanation:
First, let's check side lengths.
Using the Pythagorean theorem we can find the length of the other side of the rectangle.
a^2 + b^2 = c^2
4.2^2 + b^2 = 8.6^2
b^2 = 56.32
b = 7.5
The other side of the rectangle measures 7.5 cm, so now we know that 4.2 cm is indeed the shorter side of the rectangle.
For the angle in question, the 4.2 cm side is the adjacent leg.
The diagonal of 8.6 cm is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.