<h2>
Answer:</h2><h2>C:
a = 1, b = 4, c = -9</h2>
Step-by-step explanation:
<h2>A=x and X equals 1 so A=1</h2><h2>B=4</h2><h2>C=-9</h2>
Answer: 3 is the nearest integer.
Step-by-step explanation:
The square root of 12 is between 3 and 4
9 and 16 are perfect squares. Their roots are 3 & 4 respectively. 12 is about halfway between, so a good approximation would be 3 1/2, but the question asks for the nearest integer, not the nearest rational number.
The figure is the right triangle DEF.
In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).
Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.
Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:
DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2
Taking square roots from both sides:
=> x = DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2
Remember, both legs have the same length.
Answer: 11√2
If this is for slope-intercept, the equation is: y = 3x + 1
To find the slope, you would find the rise over run ( 
). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So, 
, or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is <em>y = 3x + 1</em>.
If you have any further questions, please reach out to me :)
Well 12 = 3×4 thus answer would be -3 and -4
For algebra solution, we can let smallest integer be n then that would be n(n+1) = 12, so we can go ahead and solve for n:
n(n+1) = 12
n² + n - 12 = 0
(n-3)(n+4) = 0
n = 3 or -4
Since we need negative integers, n would be -4 and then next integer (n+1) would be -3.
Hope this helps.
