Answer:
Step-by-step explanation:
The triangles are not similar. Looking at the diagram, triangle STU is smaller than triangle PQR. If they are similar, it would mean that
ST/PQ = TU/QR = SU/PR
This means that there would be a scale factor. Substituting, the values, it becomes
ST/PQ = 7/9 = 0.78
TU/QR = 10/15 = 0.67
SU/PR = 8/12 = 0.67
Therefore, since
ST/PQ ≠ TU/QR ≠ SU/PR
The triangles are not similar.
The answers are, from 7 to 14,
11/3
50/6
49/6
18/8
11/2
7/4
26/5
14/6
Answer:
Step-by-step explanation:
P (x) = ( x + 2 ) ( x - 3 ) ( x + 7 )
(x^2 - 3x + 2x - 6) ( x + 7 )
( x^2 - x - 6 ) ( x + 7 )
( x^3 + 7x^2 - x^2 - 7x - 6x - 42 )
(x^3 + 6x^2 - 13x - 42)
The constant term in this function is - 42.
( A constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. )
I hope this helps!
Answer:
3 x 3 = 9
Step-by-step explanation:
Answer:
a = 8
b = 4√5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
short side/long side = a/16 = 4/a
a² = 64 . . . . . . multiply by 16a
a = 8 . . . . . . take the square root
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hypotenuse/short side = b/4 = 20/b
b² = 80 . . . . . . . multiply by 4b
b = 4√5 . . . . . take the square root
_____
<em>Additional comment</em>
These relations for the right triangle can be summarized by the rule "the length of a segment that touches the hypotenuse is the geometric mean of the two hypotenuse segments it touches." In the case of b, that means ...
b = √((4)(4+16)) = 4√5
The same sort of relation applies to the unmarked vertical segment on the left:
c = √((16)(16+4)) = 8√5
And, we saw ...
a = √((4)(16)) = 8
Of course, if this rule is to make sense, you need to know that the geometric mean of two numbers is the square root of their product. (In general, the geometric mean of n numbers is the n-th root of their product.)
