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natulia [17]
3 years ago
15

Determine if the two figures are congruent and explain your answer using transformations.

Mathematics
1 answer:
Vinvika [58]3 years ago
4 0

Answer:

Step-by-step explanation:

By observation we see that the sides:

DC = HG

CB = GF

BA = FE and DA = HE so the 2 figures are congruent.

If we reflect EFGH in the y-axis we see that the point F (4, 1( moves to (-4,1)

and the point E moves from (2, 0) o (-2, 0) and the other 2 points points move in a similar fashion.

If we then  move the whole figure up 1 unit then 1 to the right EFGH completely occupies the same area as ABCD confirming they are congruent.

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Every month Marina pays $79 for mobile phone service, $59.95 for cable service, and $45.50 for internet service. She can switch
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3 years ago
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Which of the following is the graph of the quadratic function y - x? +10x+16 ?
Assoli18 [71]

Find the vertex:

\textrm{Use the formula } \frac{-b}{2a} \textrm{ to find the vertex}\\ \\ \frac{-10}{2} = -5\\ \\ \textrm{In order to find the y value plug in -5 back into the function}\\ \\ y=(-5)^2+10(-5)+16\\ y=-9\\\\ \textrm{The vertex of the function is} (-5,-9)

Determine if the parabola will open up or down:

a > 0 \\ \\ 1>0

Since the value of a is positive, the parabola will open upwards

Find the x and y intercepts:

Factor y = x^2+10x + 16 to find the x intercepts

(x+8)(x+2)

x + 8 = 0

x = -8

x + 2 = 0

x = -2

x intercepts:

x = -2

x = -8

Find the y intercept

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Hence, C. Graph A best represents the quadratic function y = x^2+10x + 16

6 0
3 years ago
Explain why the mapping diagram below represents a function.
tiny-mole [99]

Answer:

Because there is only one out put for each domain this mapping diagram is a function.

Step-by-step explanation:

Two sets are involved.  There is a directional property, the relation is defined from one set called the domain on to another set called the codomain. A function is a relation that has exactly one output for each input in the domain.

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Write an expression equivalent to 4-2(x+5) that has two terms
maw [93]

Answer:

2x+10

hope this helps

have a good day :)

Step-by-step explanation:

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