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Leto [7]
3 years ago
14

What is the equation of the line?

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

y=-7

Step-by-step explanation:

when it is hohorizontal lile this it is y=-7

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Solve for the indicated variable. Include all of your work in your answer. Submit your solution. P = 3r + 2s; for s.
madam [21]
<h3>Given</h3>

P = 3r + 2s

<h3>Find</h3>

the corresponding equation for s

<h3>Solution</h3>

First of all, look at how this is evaluated in terms of what happens to a value for s.

  1. s is multiplied by 2
  2. 3r is added to that product

To solve for s, you undo these operations in reverse order. The "undo" for addition is adding the opposite. The "undo" for multiplication is division (or multiplication by the reciprocal).

... P = 3r + 2s . . . . . . starting equation

... P - 3r = 2s . . . . . . -3r is added to both sides to undo addition of 3r

... (P -3r)/2 = s . . . . . both sides are divided by 2 to undo the multiplication

Note that the division is of everything on both sides of the equation. That is why we need to add parentheses around the expression that was on the left—so the whole thing gets divided by 2.

Your solution is ...

... s = (P - 3r)/2

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3 years ago
Inverse sine is used to find a given angle measure when we know the _ and the _​
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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

Hence, the value of x is 5.970.

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