Answer:
negative 11/6
Step-by-step explanation:
It seems like both of the triangles are congruent, use Pythagorean theorem to find hypotenuse (longest side) on the left triangle and it should be the same as x.
We will assume that we have a function relating between the time and the temperature. Any point in this function can be expressed as (x,y) where x is the time and y is the temperature (any point is expressed as (time, temperature)).
We have two points given:
<span>At 7 p.m. the temperature is 72 degrees F: First point is (7,72)
</span><span>At 10 p.m. the temperature is 52 degrees F: Second point is (10,52)
The rate of change is simply the slope of this function, this slope can be calculated as:
rate of change = (y2-y1) / (x2-x2)
we have y2= 52, y1= 72, x2= 10 and x1= 7
Substituting in the equation, we can calculate the rate of change as follows:
rate of change = (52-72) / (10-7) = -6.667 degrees/hours
Note: The negative sign indicated a DECREASE in the temperature.</span>
Answer:
35
Step-by-step explanation:
We can assume the longer side is the hypotenuse because it is significantly longer than the other side.
From there, we can do Pythagoreans Theorem.
a^2+b^2=c^2
where can is the hypotenuse.
(12.75)^2+ b^2 = (37.25)^3
162.5625 + b^2 = 1,387.5625
-162.5625 -162.5625
b^2= 1,225
square root both sides.
b= 35
Answer:
C
Step-by-step explanation:
Given
f(x) = 3x - 40 and f(x) = 8 , then equate the right sides, that is
3x - 40 = 8 ( add 40 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16 → C
