Answer:
3.
equation = 
Using:
or 
or
7^2 + 12^2 = c^2
49 + 144 = c^2
c^2 = 193
missing length = 13.9 inches
4. equation = 
Using:
or
24^2 + 32^2 = c^2
reduce to:
8 multiplied by everything:
3^2 + 4^2 = c^2
Since we know 3,4,5 is a Pythagorean triple, we can use this to find c.
Since c must be 5, we multiply by 8 since we divided by 8 earlier to get the 3,4,5 and get 40.
missing length = 40 inches
The perimeter of the triangle, namely the sum of all its 3 sides, is 110.
now, the three sides are in a 6:7:9 ratio, namely, if we divide 110 by (6+7+9), it will give us hmmm 110/22, a quotient of 22 equal pieces, namely how many times 22 would go into 110.
now, the small side, takes 6 of those pieces, the medium side takes 7 of them and the largest takes 9 of those pieces.
110/22 = 5
the small side is then 6(5).
the medium side is 7(5).
and the largest side is 9(5).
add them up, and you'd get the perimeter, 110 inches.
Answer:
y = - 13, y = 13
Step-by-step explanation:
Given
y² = 169 ( take the square root of both sides )
y = ± 
= ± 13
Since 13 × 13 = 169 and - 13 × - 13 = 169
the answer is
<span>[√8k ]² =k²,
so 8k=k² which implies k² - 8k= 0, and (k
– 8)k= 0, so k = 8 or k =0</span>
Answer:
The slope is 1/2 in the positive direction
Step-by-step explanation:
Let us start with the basic slope equation:
rise/ run= slope
Now if we look at our graph, we can derive that the line is increased.
Then we look at two parts of the line which lie on a proper point of the graph.
In this case, I looked at (-4,0) and (-2,1).
The rise in this case is 1 while the run is 2.
Putting this into the equation gives us 1/2.
