From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Answer:
It is the last option
Step-by-step explanation:
Answer:
=10
Step-by-step explanation:
because 20÷10=2
70÷10=7
50÷10=5
Answer:
Constant of Proportionality is 50.
Step-by-step explanation:
Albatross can fly 400 kilometers in 8 hours.
'd' represents the distance and 't' represents the number of hours.
The equation 
represents the relationship between the distance and time.
Now, in the equation shown above 50 is the constant of proportionality, and 50 represents the rate of change of distance with time.
The constant of proportionality tells us the rate of change between two variables.
So for every 1 hour of time the distance covered is 50 kilometers.
Y=Mx+b
Slope/M= -1
X= 3
Y= -1
-1 = -1(3)+b
-1 = -3 + b
Add +3 to -3 and -1 to cancel -3 out to get (b)
-3+3 = 0 cancel it
-1 +3 = 2
So, b = 2
In an equation it will be written as
y= -1x + 2
In standard form it will be
1x + y = 2
But your official answer will be
B= 2
Y= -1x+2
