Answer: 
Step-by-step explanation:
We see that g(x) is a straight line that passes through the origin, just like f(x), so g(x)=kx for some constant k.
Since g(x) passes through (4,2), we know that 2=4k, and thus k=1/2.
So, 
Answer:
Step-by-step explanation:
From the given triangles in the picture attached,
∠A ≅ ∠X [Given]
∠B ≅ ∠Y [Given]
By AA property of similarity of the triangles, both the triangles will be similar.
ΔABC ~ ΔXZY
Similarity statement:
Corresponding sides of these similar triangles will be proportional.

Similarity ratio:

= 
= 3 : 2
Answer: 2145
Step-by-step explanation:
4/3 * 3.14 * 8^3 = (Rounded) 2145
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Answer:
Step-by-step explanation:
Answer:
The product of (-5·q·r) × (-2·p·q·r) × p·q is 10·q³·r²·p²
Step-by-step explanation:
The question relates to the rules of multiplication of variables and indices rules, and simplifification of an expression ;
The given expression is (-5·q·r) × (-2·p·q·r) × p·q
Therefore, we have;
(-5·q·r) × (-2·p·q·r) × p·q = (-5) × (-2) × q×q×q × r×r ×p×p = 10 × q³ × r² × p²
10 × q³ × r² × p² = 10·q³·r²·p²
∴ (-5·q·r) × (-2·p·q·r) × p·q = 10 × q³ × r² × p² = 10·q³·r²·p²
(-5·q·r) × (-2·p·q·r) × p·q = 10·q³·r²·p².