Answer for question 1: B. Because 10 times 1 is 10 kg and is not close to 100
Answer for question 2: B. because it is within the scientific measurement of between 1-10
Answer for question 3: C. Because 24-2 is 22
Answer:
C) 30.9702
Step-by-step explanation:
Take log of both sides:
In5^x = In8^x - 7
Rewrite it using the laws of log:
xIn5 = (x - 7)In8
x / (x - 7) = ln 8 / ln 5
x / (x - 7) = 1.292
x = 1.292x - 9.044
1.292x - x = 9.044
x = 9.044 / 0.292
Thus, x = 30.9702
The function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
<h3>Translation of functions</h3>
Translation is a technique used to change the position of an image on an xy-plane. Given the function below;
f(x) = x +2
If the expression is translation 2 units to the right, the translation rule will be:
g(x) = f(x )- 2
Substitute
g(x) = x + 2 - 2
g(x) = x
Hence the function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
Learn more on translation here: brainly.com/question/12861087
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If two triangles are similar, it means that one is the scaled version of the other.
In similar triangles, correspondant angles are the same, and correspondant lengts are all in the same ratio 
. The ratio between the areas is 
.
So, for example, if the scale ratio is 
, all sides of the new triangle are twice as long as the sides of the old one, and the area of the new one is 
times the area of the old one.
Since in this case the two areas are equal, their ratio is 
. This implied that also 
, which means that also correspondant sides are equal.
In other words, these two triangles are not only similar, but congruent. This means that, in particular, all correspondant sides have same length, so the longest side of ABC has a length of 25 as well.
