Solve each system of equations using substitution. a=5b+8 a=-10b-7
1 answer:
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Answer:
i) A. 180º rotation about the origin, ii) .
Step-by-step explanation:
i) In this case, we understand that vertex changed to
after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem:
Point P:
If we know that ,
,
and
, the distance
is:
Point P':
If we know that ,
,
and
, the distance
is:
As , origin is the center of rotation.
Besides, is a multiple of
, that is:
1) Given
2)
3) Scalar multiplication of a vector/Result.
The value of the scalar proves that P experimented a 180º rotation about the origin. Hence, the correct answer is A.
ii) If and the same operation described in item i) is used, then, the location of
is:
Which corresponds to option C.
Answer:
see explanation
Step-by-step explanation:
ΔABE and ΔACD are similar hence the ratios of corresponding sides are equal, that is
=
=
Using the first pair of ratios then
= 4 =
, hence
4ED = 26 ( divide both sides by 4 )
ED = 6.5 cm
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(b)
Similarly
= 4, hence
BE = 4 × 18 = 72 cm