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ycow [4]
4 years ago
10

Choose all that give the correct coordinates of the vertices after a dilation of the rectangle TUVW by a scale factor of 4, cent

ered at the origin. Rectangle TUVW vertices: T(0, −1), U(0, 1), V(1, 1), W(1, −1)
T(0, −1) → T′(4, −4)
U(0, 1) → U′(0, 4)
V(1, 1) → V′(1, 4)
W(1, −1) → W′(4, −4)
Mathematics
2 answers:
Inessa05 [86]4 years ago
8 0

Answer:b and d

Step-by-step explanation:

Semmy [17]4 years ago
8 0

Answer:

U(0, 1) → U′(0, 4)

W(1, −1) → W′(4, −4)

Step-by-step explanation:

i did it and had it right

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What is the distance between point A and point B? Round to nearest tenth.
Sergeu [11.5K]

Answer:

d \approx 12.6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A (-4, 2)

Point B (8, 6)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(8+4)^2+(6-2)^2}
  2. Add/Subtract:                       d = \sqrt{(12)^2+(4)^2}
  3. Exponents:                           d = \sqrt{144+16}
  4. Add:                                      d = \sqrt{160}
  5. Simplify:                                d = 4\sqrt{10}
  6. Evaluate:                              d = 12.6491
  7. Round:                                 d \approx 12.6
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So we know that point-slope form is as follows:


y-y_{1}=m(x-x_{1})


The points (x_{1} and y_{1} correspond to the point given and m is representing the slope. So we plug in what the question gives us:


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Now we can take this form and simplify to give us the slop-intercept form:


y-8=-3(x-1)


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