Answer: The radius of this circle is 0.5
Step-by-step explanation:
We have a circle that passes through the point (0, 0.5)
We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)
For a circle centered in the origin, we have the equation:
x^2 + y^2 = r^2
Where r is the radius.
Here we have that x = 0 and y = 0.5
then:
0^2 + (0.5)^2 = r^2
0.5^2 = r^2
r = 0.5
The radius of this circle is 0.5
The rhombus has equal side lengths while the parallelogram doesn't have equal side lengths.
Answer:
103
Step-by-step explanation:
We substitute x with 5:

Solve the exponent first:

<em>Note: We are using order of operations (consecutively)</em>
- <em>Parentheses </em>
- <em>Exponents</em>
- <em>Multiplication</em>
- <em>Division</em>
- <em>Addition </em>
- <em>Subtraction</em>
Multiply:
25 * 4 = 100
Add:
100 + 3 = 103
Our answer is 103
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Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.