Answer:
Step-by-step explanation:
We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0;
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>
Answer:
f(0) = 1
Step-by-step explanation:
f(x) indicates the "output" value present at the "input" (Output referring to the y value and input referring to the x value). So f(0) would mean the "y" value present at x = 0; however, there are two circles at x = 0. One of the dots is open(hollow) meaning that the "x" and "y" values present there are excluded. This leaves the closed(filled) dot which means that value is included and is the answer.
Answer:
straight lines, continuos
Step-by-step explanation:
Answer:
Angle BCA = 90
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle
Where the angle opposite of the hypotenuse ( or diameter ) is the right angle
Angle BCA is the angle opposite of the diameter
Hence BCA = 90
