Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
To solve this problem you must apply the proccedure shown below:
1. You have to find the radius <span>of convergence of the following Maclaurin series:
</span>
2. Let's take the denominator and find the roots:
3. The roots are
and the distance from the origin is
.
Therefore, the answer is:
18/60 which is equal to 3/10
So you just need to put it into proportions which is blue to total. The total is 60 and there is 18 blue. Then you only need to simplify.
y = 25x / 5 is each function is an example of exponential growth or decay.
What does exponential growth look like in math?
- A typical illustration of exponential expansion is population increase. Take a population of bacteria as an example. It seems sense that the rate of population increase would be inversely correlated with the population's size.
- After all, the number of bacteria grows more quickly the more there are for them to reproduce.
y= 25/7(7/5) x
y = 25/5 x
y = 25x / 5
Learn more about exponential growth
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