Answer: -1
Step-by-step explanation:
Find the Slope
(0, 2) , (1, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called r ise).
y2 − y1
m =
_____
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
1 − (2)
m =
_____
1 − (0)
Simplify.
Simplify the numerator.
−1
m =
____
1 − (0)
Simplify the denominator.
−1
m =
___
1
Divide −1 by 1.
m = −1
Answer:
1. a= 7, A = 49 degrees
Side A = 7 , Side B = 24, Side C = 25
A= 49 degrees, C = 90 degrees , B=41
2. A= 4, B = 6.9, C=8
A= 22 degrees, B = 68, C= 90
3. A= 7, B = 14.4, C=16
A= 45 , B=45 , C=90
Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.
