Which equation describes the same line as y-5= -2(x + 4)?

Mathematics

1 answer:

skad [1K]4 years ago

3 0

Answer:

A. y = -2x - 3

Step-by-step explanation:

y-5= -2(x + 4)

Expand the brackets.

y - 5 = -2x - 8

Add 5 to both sides.

y = -2x - 8 + 5

y = -2x - 3

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Subtraction of two real numbers may be defined of what operation

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A square fits exactly inside a circle with each of the vertices being on the circumference of the circle. The square has sides l

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Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. $\sqrt{2}x= 2r$ [Diagonal of square = $\sqrt{2}$ (side)]

i.e. $r=\dfrac{x}{\sqrt{2}}$

area of circle = $\pi r^2$

i.e. $56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2$

$56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970$