Step-by-step explanation:
For every increase in the x-value by 1,
the y-value decreases by -2.
(From 3 to 1 and from 1 to -1)
Hence, slope of line k
= Rise/Run = (-2)/1 = -2. (A)
Answer:
72°
Step-by-step explanation:
From the question,
Area of the circle = πr²
A = πr²................. Equation 1
Where r = radius of the circle.
⇒ r = √(A/π)............. Equation 2
Given: A = 346.5 cm², π = 3.14
r = √(346.5/3.14)
r = √(110.35)
r = 10.5 cm.
Therefore,
circumference of the circle = 2πr = 2×3.14×10.5
circumference = 65.94 m
If the length of the arc(s) is 1/5 of its circumference.
Therefore, length of arc (s) = 13.188
⇒ length of arc/circumference = 13.188/65.94 = 1/5
s/2πr = θ/360
Where θ = angle substends at the center of the circle
1/5 = θ/360
θ = 360/5
θ = 72°
Answer:
Look below
Step-by-step explanation:
So I will use an example to try and show you how to do this.
If we have
, we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be
. Our new denominator would be 6. So now we would have
which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so,
.
So our first fraction was

We then multiplied the whole fraction by the opposite denominator

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