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pickupchik [31]
3 years ago
7

Given triangle ABC with coordinates A(−4, 4), B(−4, 1), and C(−6, 0), and its image A′B′C′ with A′(0, 0), B′(−3, 0), and C′(−4,

−2), find the line of reflection.
The line of reflection is at y=

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

  y = x + 4

Step-by-step explanation:

The line of reflection is the perpendicular bisector of segment AA', so passes through point (A+A')/2 = (-2, 2) and is perpendicular to the line through A and A'. That line is y = -x, so the point-slope equation of the line of reflection is ...

  y = 1(x -(-2)) +2

  y = x +4

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(2x105)/(3x103) + 3x103 * 5x102
AleksAgata [21]

Answer:

1500066.66

Step-by-step explanation:

Given: (2\times10^{5} )/(3\times 10^{3} ) + 3\times10^{3} \times 5\times10^{2}

Now, simplifying it.

Using PEDMAS in solving the expression

First opening the parenthesis

= 2\times10^{5} /3\times 10^{3}  + 3\times10^{3} \times 5\times10^{2}

Next dividing the number

as per law of indices, x^{m} \div x^{n} = x^{m-n}

= 2\times10^{5-3} /3 + 3\times10^{3} \times 5\times10^{2}

= 2\times10^{2} /3 + 3\times10^{3} \times 5\times10^{2}

= \frac{2\times10^{2} }{3}  + 3\times10^{3}  \times 5\times10^{2}

Next multiplying the number as per PEDMAS

as per law of indices, x^{m} \times x^{n} = x^{m+n}

= \frac{2\times10^{2} }{3}  + 15\times10^{3+2}

= \frac{2\times10^{2} }{3}  + 15\times10^{5}

= \frac{2\times 100}{3}  + 15\times10^{5}

Next dividing the number as per PEDMAS

= 2\times 33.33  + 15\times10^{5}

Next multiplying the number as per PEDMAS

= 66.66+1500000

Now adding the number

= 1500066.66

4 0
3 years ago
Using lowercase letters only, type always, sometimes or never as your answer to the following prompt.
Charra [1.4K]

Answer:

The mode of a data set is<u> ALWAYS</u> equal to the mean.

Step-by-step explanation:

8 0
2 years ago
Which of the following are monomials? Check all that apply.
nirvana33 [79]

Answer:

The answer to this is A and B.

Step-by-step explanation:

A monomial is an expression with one term only such as 3xy, 5x and so on. A binomial is an expression with two terms such as 5x + 3y. A polynomial is an expression with more than 3 terms such as 5x +3y - 6a.

8 0
3 years ago
Passes through (-8, -7), parallel to the graph of y=1/2x-3
KIM [24]

Answer:

y=\frac12x-3

The answer is the same line as given in the question.

Step-by-step explanation:

Hello!

Slope-intercept Form: y = mx + b

  • y = output
  • m = slope
  • x = input
  • b = y-intercept

Given our Line: y=\frac12x-3

  • slope = \frac12
  • y-intercept =3

Parallel lines have the same slope but a different y-intercept, so the second line should have a slope of \frac12.

To find the y-intercept, we plug in the x and y values from the point into a blank equation with the slope and solve for b.

  • y = \frac12x + b
  • -7 =\frac12 (-8) + b
  • -7 = -4 + b
  • -3 = b

The equation is y=\frac12x-3, hence the same line.

7 0
2 years ago
Simplify the answer
Andru [333]

Answer:

- 20 + 8i

Step-by-step explanation:

Noting that i²  = - 1

Given

[(6i + 9) + (4i - 5)] × 2i ← evaluate the terms inside the square bracket

= ( 6i + 9 + 4i - 5 ) × 2i

= (10i + 4) × 2i ← multiply each term in the parenthesis by 2i

= 20i² + 8i

= 20(- 1) + 8i

= - 20 + 8i

8 0
3 years ago
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