7 A polygon has the following coordinates: A(2,-2), B(-4,-4), C(-4,-1), D(-2,3), E(1,3), F(2,5). Find the length of BC. A. 4 uni
vesna_86 [32]
Answer:
B.
Step-by-step explanation:
Well to find BC, you have to know B and C
B = (-4, 4)
C = (-4, -1)
The distance is:
√(4 + 1)^2 + (-4 + 4)^2
√25
5
Answer:
Place one at (-7,-4) and the other at (-4,-6)
Step-by-step explanation:
Answer:
a=9 , b=14
Step-by-step explanation:
Just do the operation (x+7)(x+2)
x(x)+x(2)+7(x)+7(2)
x^2+2x+7x+14
x^2+9x+14
So a=9 and b=14
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out.
B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.
C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.
D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.
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The final answer is choice C
Given that the initial point of the vector is (1,-2) and the termination point of the vector is (0,0).
So, the tail of the vector is at point (1,-2) and the head of the vector is at (0,0). The vector,
, has been shown in the figure.
The magnitude of the vector:

The direction of a vector is the angle made by a vector with the positive direction of the x-axis.
From the figure, 


Hence, the required vector having a magnitude
and direction
has been shown in the figure.