Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Answer:
Step-by-step explanation:
The discriminant is found in
which is part of the quadratic formula. In
, a = 4, b = 10, c = -16. Filling in for the discriminant:
It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.
In 
, a = -16, b = -7, c = 3. Filling in for the discriminant:
It's positive and not a perfect square so the 2 solutions are complex rational
6 regular triangles meet at vertex to form a regular tessellation.
Answer is D.
Hope it helps!
Answer:
What are the numbers?
Step-by-step explanation:
Answer:
$20
Step-by-step explanation:
$44 - $4 = 40
40 divided by 2=$20
