Answer:
Step-by-step explanation:
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I NEED THIS FOR A TEST PLZ HELP!!!
2 answers:
Answer:
A. 2x is correct.
Step-by-step explanation:
Finding the measure of the segment BC and ST by the Distance formula: B (5, 7), C (8, 8), S (1, 11), T (7, 13).
BC = √(8-5)² + (8 - 7)²
BC = √10
ST = √( 7 - 1)² + ( 13 - 11)²
ST = 2√10
Scale Factor = Image/ Pre-image = ST/BC = 2√10/√10 = 2
This means that the image, ST, is twice as large as the pre-image BC.
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Answer:
A = 20sinθ(6 + 5 cosθ) cm²
Step-by-step explanation:
Drop perpendiculars DE and CF to AB.
Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.
The formula for the area of the trapezium is
A = ½(a + b)h
DE = 10sinθ
AE = 10cosθ
BF = 10cosθ
EF = CD = 12 cm
AB = AE + EF + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ
A = ½(a + b)h
= ½(12 +12 + 20 cosθ) × 10 sinθ
=(24 + 20 cosθ) × 5 sinθ
= 4(6 + 5cosθ) × 5sinθ
= 20sinθ(6 + 5 cosθ) cm²
Supposse that the distance from the point to the point
is equal to the distance from
to the point
. Then, by the formula of the distnace we must have
cancel the square root and the 's, and then expand the parenthesis to obtain
then, simplifying we obtain
therfore we must have
this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: . The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.