Answer:
The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.
Circle Radius = 16 / sq root (3)
Circle Radius = 9.237604307
Circle Area = PI * radius ^ 2
Circle Area = PI * 85.3333333333
Circle Area = 268.083
Equilateral Triangle area = side^2 * sq root (3) / 4
Equilateral Triangle area = 16^2 * 0.4330127019
Equilateral Triangle area = 110.85
Shaded region = 268.083 - 110.85
Shaded region = 157.233
Step-by-step explanation:
Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.
<h3>What is rational expressions and examples?</h3>
A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.
To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.
Learn more about rational expressions here:
brainly.com/question/9353162
Answer:
One solution (2 2/9)
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
y - 7 = 3(x + 3) and y = 3x + 16
Step-by-step explanation:
Find the slope first:
As we go from (–3, 7) to (1, –5), x increases by 4 and y increases by 12. Hence, the slope is m = rise / run = 12 / 4, or m = 3.
Next, modify the point-slope form y - k = m(x - h) by inserting the given info:
y - 7 = 3(x -[-3]), or
y - 7 = 3(x + 3)
Note: (h, k) represents the given point, which I have chosen to be (-3, 7).
Next, convert this result to slope-intercept form. Begin by solving this equation for y: y = 7 = 3x + 9, or:
y = 3x + 16