The function that could represent the value of a rare coin that increases over time is; y = ²/₃x + 2
<h3>How to create linear equations?</h3>
We want to find which of the equations below could represent the value of a rare coin that increases over time
y = -³/₂x + 1
y = -²/₃x - 7y
y = ²/₃x + 2
y = ³/₂x - 6
Now, the general form of a linear equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, for the equation to be increasing over time, it means the slope must be positive and the y-intercept must also be positive.
Looking at the given options, the only one where slope and y-intercept is positive is y = ²/₃x + 2
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Answer:
17) x = 58.1 units
18) x = 17 units
Step-by-step explanation:
The concept of similar triangles will be applied.
It is evident that the AAA congruence property is responsible for the similarity of the two triangles in the 2 cases. The theorem is
- Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other.
So, the corresponding sides from the two triangles can be written as a ratio of one another
17)
The most obvious tell here is the largest angle in the two triangles, the sides directly opposite this angle in the two triangles can be written in a ratio such that
(95.2/13.6) = 7
indicating that the bigger triangle is exactly 7 times the smaller one.
So,
(95.2/13.6) = (53.2/7.6) = (x/8.3) = 7
x = 7 × 8.3 = 58.1
18)
The obvious tell here is the smallest common angle for the two triangles, the two other corresponding sides can then be written in a ratio, matching the bigger side in the two triangles to each other.
(39.5/7.9) = (37.5/7.5) = (x/3.4)
(x/3.4) = 5 (Indicating thay the bigger triangle is 5 times bigger than the smaller one.
x = 3.4 × 5 = 17 units.
Hope this Helps!!!
Answer: 3. 55° 2. 225° 1. 125°
Step-by-step explanation: don't want brainliest
The correct answer is that it will be generated correctly because of the commutative property
Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99
