Hi there!
We are told to write an equation of a line in standard form with a slope for 3 that goes through the point (9,-4). There are many ways to do this, but the easiest one would be using the point-slope form. This is the point-slope form:
If we let m = 3, y1 = -4, x1 = 9, we can substitute the values back into the equation to get:
. We can simplify the equation to get
. Now, we combine like terms by subtracting 4 from both sides, giving us y = 3x - 31. Finally, we subtract 3x from both sides to get -3x + y = -31. Therefore, the answer to your query is
-3x + y = -31.
10, 15, 20, 25, 30.... and so on
Answer:
x = 37 mm
Step-by-step explanation:
Since they are both right triangles, you can use Pythagorean Theorem to solve this.
Step 1: Start with the small triangle and solve for the missing leg.
5² + L² = 13² (plug in the given sides)
25 + L² = 169 ( simplify, 5² = 25, 13² = 169)
L² = 144 ( subtract 25 from both sides to isolate L²)
L = 12 (take the square root of both sides)
So the missing leg on both triangles is 12.
Step 2: We can now solve for x
12² + 35² = x² (plug in the given sides)
144 + 1,225 = x² ( simplify, 12² = 144, 35² = 1,225)
1,369 = x² (simplify, 144 + 1,225 = 1,369)
37 = x (take the square root of both sides)
Answer : (2, 2) have a good day