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Dmitriy789 [7]
3 years ago
5

Which rule describes the translation?

Mathematics
2 answers:
KengaRu [80]3 years ago
7 0

Answer:

its C

Step-by-step explanation:

(x, y) → (x + 8, y – 3)

dolphi86 [110]3 years ago
4 0
Answer: <span>(x, y) → (x + 8, y – 3)

Justification:

</span>1) From the figure you can tell that the original trapezoid ABCD was translated 8 units to the right and 3 units down to yield the trapezoid A'B'C'D'.

2) Translating 8 units to the right means: x → x + 8

3) Translating 3 units down means y → y - 3

4) Therefore, the pair (x,y) is transformed into the pair (x + 8, y - 3); that is the rule (x,y) → (x + 8, y - 3)


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A number is 6 times another number and their difference is 30. What are the numbers? ​
Alenkasestr [34]

Answer:

x=36

y=6

Step-by-step explanation:

Let the numbers be x and y

Condition 1

x=6y ----------(1)

Condition 2

x-y=30 ------------(2)

Putting 1 in 2

6y-y=30

5y=30

Dividing both sides by 5

y=6

Now

Putting y=6 in 1

We get

x=6(6)

x=36

8 0
3 years ago
Which relationship describes angles 1 and 2?
Harman [31]
We need to see the angels do u have a picture??

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3 years ago
Does increase in sample size increases degrees of freedom for t-tests.
Elena-2011 [213]
Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.
3 0
2 years ago
Use the rules for long division to divide 262 by 9.
TEA [102]
  ______2___9_______
9|  2      6<span>      </span>2
    -1      8
     ---------
              8      2
             -1      8
             ----------
                       1

So, 29 with a remainder of 1, meaning the answer is A.
3 0
3 years ago
Read 2 more answers
A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found usin
BaLLatris [955]

Answer:1) Since you have not provided the full question, I will work the quadratic expression that models the height of the paper airplane to find as much information as it gets.

2) Firstly, note that the quadratic function -2x^2 + 5x + 33 has these characteristics:

i) It is a parabola

ii) Since, the coefficient of x^2 is negative (-2) it opens downward and has a maximum, which indicates the maximum height of the airplane

iii) The, y-intercept, i.e. the y-value for x = 0, is the initial height of the ariplane, the height from which it was launched, and it is - 2 (0) + 5(0) + 33 = 33.

Then, the airplane was launched from a height of 33 units.

3) The vertex of the parabola is the maximum and it tells both the time to reach the maximum height and the value of that maximum.

4) You can easily find the vertex coordinates by completeing squares. This is how:

Start: -2x^2 + 5x + 33

Factor - 2 from the first two terms: - 2 (x^2 - 5/2x) + 33

Add and subtract the square of the half of x's coefficient:

- 2 ( x^2 - 5/2x + 25/16) + 25/8 + 33

Form the perfect square binomial: - 2 (x - 5/4)^2 + 289/8

By comparission with the vertex form of the equation of the parabola: A(x - h)² + k, the vertex is:

(h,k) = (5/4, 289/4) = (1.25, 36.125).

5) Then, the maximum height is 36.125 units, when the time is 1.25 seconds.

6) You can also find the time when the airplane lands on the ground by making -2x^2 + 5x + 33 = 0

For that you can factor the expression -2x^2 + 5x + 33

-2x^2 + 5x + 33 = - (x + 3) (2x - 11)

Equal to zero: - (x + 3)(2x - 11) = 0 ⇒ x = - 3 and x = 11/2 = 5.5.

That means that the airplane will land on the ground at 5.5 seconds.

7) You can also find the heights at different times, by just pluging in different values of x in the expression -2x^2 + 5x + 33.

7 0
3 years ago
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