Answer:
√53
Step-by-step explanation:
hypotenuse (h) = √89
base (b) = 6
perpendicular (p) = ?
we know by using Pythagoras theorem
p = √(h² - b²)
= √(√89)² - 6²
= √ 89 - 36
= √ 53
Answer:
9(9x^2+1)
Step-by-step explanation:
Just factor the 9 out.
6+6=12 so if there is 239 people in the first 6 rows, the other six rows also has the same amount of people. So you add 239+239 and you got your answer, 478 people are in the first 12 rows
Answer:
210°F
110 minutes
Step-by-step explanation:
Given that :
Temperature of cake t minutes after being removed from oven :
f(x)=70+140e^-0.024t
Temperature T the timee it is removed ;
At this point, the time t = 0
f(t)=70+140e^-0.024t
f(x)=70+140e^-0.024(0)
= 70 + 140(1)
= 210°F
how long will it take for the cake to reach a temperature of 80oF
80 = 70+140e^-0.024t
80 - 70 = 140*e^-0.024t
10/140 = e^-0.024t
0.0714285 = e^-0.024t
In(0.0714285) = - 0.024t
−2.639057 = - 0.024t
t = 2.639057 / 0.024
t = 109.9607
t = 110 minutes
The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
We have:
.
Substitute:
Therefore we have 
.
Substitute the coordinates of the point (1, 1) to the equation:
<em>add 3 to both sides</em>
<h3>Answer: y = -3x + 4</h3>
We have:
Substitute:
Therefore we have 
.
Substitute the coordinates of the point (4, 1) to the equation:
<em>subtract 3 from both sides</em>
<h3>Answer:
</h3>
