The answer is a. here’s a picture that hopefully helps explain the reasoning/work
Answer:
-2y^2 + y +32
Step-by-step explanation:
The variable with the highest exponent is y^2
X = Can/Bottle height, y = Shadow length
x = 13 cm, y = 7.5 cm
x = 2.5 cm, y = 14.2 cm
I'm assuming your question is asking for an equation to model this. Since there are only two data points the only equation that can be made is linear
y = mx + c
m = (y2 - y1)/(x2 - x1) <- Let 14.2 be y2, and 2.5 be x2 (it is important)
m = (14.2 - 7.5)/(2.5 - 13)
m = 6.7/-10.5
m = -0.638
y = -0.638x + c
To find c we can sub any one of the two coordinates, i'm choosing (2.5,14.2)
14.2 = -0.638(2.5) + c
14.2 = -1.595 + c
14.2 + 1.595 = c
15.795 = c
So the final equation is y = -0.638x + 15.795
Answer:
Triangles ABC and MNO are similar by SSS
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional
In this problem
If this problem the corresponding sides are
AB and MN
BC and NO
AC and MO
Verify if the corresponding sides are proportional

substitute the given values

----- is true
so
When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity
therefore
Triangles ABC and MNO are similar by SSS