-1/4 i think, Y1-Y2/X1 -X2= the slope . -9-3= -12 and -6 - (-9)= -6 +9= 3. So simplify 3/-12 makes -1/4.
Step-by-step explanation:
The two smaller triangles below were created by drawing an altitude in the larger triangle. Write a similarity statement
Answer: yessir it does, 10 times.
Step-by-step explanation:
Answer:
y = 3/5x - 17/5
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
First, plug in these values of the two given points.
(-4 - (-1)) / (-1 - 4)
Simplify within the parentheses.
(-4 + 1) / (-1 - 4)
(-3) / (-5)
3/5
This is your slope. Plug this into a standard slope-intercept equation: y = mx + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 3/5(-1) + b
Multiply.
-4 = -3/5 + b
Add 3/5 to both sides. -- To add it easier, <em>convert 4 to a have a denominator of 5</em>.
-20/5 = -3/5 + b
-20/5 + 3/5 = b
-17/5 = b
Now, plug this into your standard equation.
y = 3/5x - 17/5
Check this equation by plugging in the <em>other point you did not use</em> (4, -1)
-1 = 3/5(4) - 17/5
-1 = 12/5 - 17/5
-1 = -5/5
-1 = -1
Your answer is correct!
Hope this helps!
Answer:
8 1/6 < x < 20.5.
Step-by-step explanation:
Use the Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle is always greater that the third side.
So for triangle to be formed:
4x + 2x - 4 > 45
6x > 49
x > 8 1/6.
Also 2x - 4 + 45 > 4x
41 > 2x
2x < 41
x < 20.5.
