Y - 9 = 2(x - 1)
This is because the base equation is below:
y - y1 = m(x - x1)
Answer:
7 units
Step-by-step explanation:
The formula for a circle is:
, where (x_1, y_1) is the center of the circle and r is the radius.
Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.
Thus, the answer is 7 units.
Hope this helps!
Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T = 
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 = 
0.8 = 
By taking log on both the sides
log(0.8) =log[
]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x = 
x = 2.1179
x ≈ 2.1179 seconds
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:

I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
Given:
To find the factorization of the graph,

By factorization, we get

Hence option a) is the correct answer.