To find slope you do y2-y1 over x2-x1. So 4-6 is -2. And 3-1 is 2. So -2/2 is -1. The slope is -1.
Answer:
7 plus 12 equals 19.
7 minus 12 equals -5.
7 times 12 equals 84.
7 divided by 12 equals 0,583...
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
Answer:
r = -4
Step-by-step explanation:
Step 1: Write out equation
4r + 8 + 5 = -15 - 3r
Step 2: Combine like terms
4r + 13 = -15 - 3r
Step 3: Add 3r to both sides
7r + 13 = -15
Step 4: Subtract 13 on both sides
7r = -28
Step 5: Divide both sides by 7
r = -4
(-16,7)
K=5 which makes y=0
Plug in -16 for x which means y=7
Therefore, - 16,7 will be the value of x,y that has no solution.
k=5
