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pychu [463]
3 years ago
11

If you were to translate the coordinate point C using vector(-2,-4), what would the coordinates of the new point be?

Mathematics
1 answer:
uysha [10]3 years ago
6 0

Given:

The point is C(0,3).

The translation vector is \left.

To find:

The coordinates of the new points after translation of point C.

Solution:

If a figure is translated by a vector \left, then

(x,y)\to (x+a,y+b)

The figure is translated by the vector \left, then

(x,y)\to (x+(-2),y+(-4))

(x,y)\to (x-2,y-4)

The point C is at (0,3).

C(0,3)\to C'(0-2,3-4)

C(0,3)\to C'(-2,-1)

Therefore, the coordinates of the new point are C'(-2,-1).

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A political polling agency predicts candidate A will win an election with 63% of the votes. Their poll has a margin of error of
scoray [572]

Answer:

56% ≤ p ≤ 70%

Step-by-step explanation:

Given the following :

Predicted % of votes to win for candidate A= 63%

Margin of Error in prediction = ±7%

Which inequality represents the predicted possible percent of votes, x, for candidate A?

Let the interval = p

Hence,

|p - prediction| = margin of error

|p - 63%| = ±7%

Hence,

Upper boundary : p = +7% + 63% = 70%

Lower boundary : p = - 7% + 63% = 56%

Hence,

Lower boundary ≤ p ≤ upper boundary

56% ≤ p ≤ 70%

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3 years ago
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3 years ago
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Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

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Multiply both sides by <em>r</em> :

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Solve for S_n:

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(I) -243/(1 + 1/9) = -2187/10

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8 0
3 years ago
Write an equation for the sentence below. Then solve the equation.
Romashka-Z-Leto [24]
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Which statement about the equation is true?
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