the side length of the state flag of Colorado are in the ratio of 2:3 if the flag is 12 ft long what is the height?
1 answer:
Answer:
The height is 8
Step-by-step explanation:
Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.
Make the equation.
Now isolate x (in order to solve for it)
x= 8
The height is 8.
8/12 = 2/3 ✅
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Y=5/4x-4
5/4 is the slope but to pass through the point it needs to cross the y axis at -4
5/4 is the slope but to pass through the point it needs to cross the y axis at -4
Answer:
a) OA = 1 unit
b) OB = 3 units
c) AB = √10 units
Step-by-step explanation:
<u>Given function</u>:
Point A is the y-intercept of the exponential curve (so when x = 0).
To find the y-value of Point A, substitute x = 0 into the function:
Therefore, A (0, 1) so OA = 1 unit.
<h3><u>Part (b)</u></h3>If BC = 8 units then the y-value of Point C is 8.
The find the x-value of Point C, set the function to 8 and solve for x:
Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.
<h3><u>Part (c)</u></h3>From parts (a) and (b):
- A = (0, 1)
- B = (3, 0)
To find the length of AB, use the distance between two points formula:
Therefore:
we are given
we can see that
there is no value of x for which g(x) is not defined
so, no vertical asymptote exists
now, we will find horizontal asymptote
so, we get
horizontal asymptote as
............Answer