Answer:
The shaded area is 314.2 cm²
Step-by-step explanation:
Here we note that the shape consists of two small circles and one larger circle
The diameter of the larger semicircle is subtended by the two smaller semicircles, the small semicircle closer to the left of the internal circumference of the larger semicircle is shaded one while the one on the right is without color,
Therefore,
Diameter of larger semicircle = 2 × 10 = 20 cm
Based on the diagram, the shaded area is observed to be;
Shaded area = Area of semicircle formed by larger diameter or 20 cm + Area area formed by the small semicircle close to the right of the internal circumference of the larger semicircle - Area area formed by the other smaller semicircle
Since the diameter and therefore the areas of the two small semicircles are equal, we have;
Shaded area = Area formed by the complete larger semicircle = Area of semicircle formed by larger diameter or 20 cm
∴ Shaded area = π·D²/4 = π×20²/4 = 100×3.142 cm² = 314.2 cm².
<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.
Answer: a constant
Step-by-step explanation:
A constant is a numerical expression like 2, 0,78 etc .
A variable is a alphabetical expression that vary like a,b,c,d,x,y,z.
An expression can consists of both numerical and alphabets and also any arithmetic expression like x, 2abc, 6a+2c etc
A term consist of either numbers and variables multiplied together or only numbers or variable like 2xy, x, 2ab etc.
X is all (a term, a variable , an expression) except a constant because a constant is a numerical expression.
Answer: B. Translation, yes
-A is incorrect because the shape did not change
-C is incorrect because the shape isn’t reflected over the y axis
-D is incorrect because it’s clearly moved to a completely different part of the grid
