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Butoxors [25]
3 years ago
15

Describe fully the single transformation that maps triangle a onto triangle b

Mathematics
2 answers:
Airida [17]3 years ago
8 0

Answer:

Reflection about y=2

Step-by-step explanation:

Triangle A should be reflected about y=2 to map it onto Triangle B.

diamong [38]3 years ago
3 0

Answer:

reflection across y=2

Step-by-step explanation:

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(b)<br> Using the formula 2T = M + 3K, find the value of K when T = 11 and M = 4.
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Answer:

K = 6

Step-by-step explanation:

Plug in what the letter equals to

Equation will look like:

2(11) = 4 + 3k  or  3k + 4 = 2(11)

multiple the 2 by 11 and get 22

3k + 4 = 22 subtract the 4 so it can leave the 3k alone

22 - 4 = 18 now divide 3 from k and do it in the other side

18/3 = 6

so K = 6

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Answer:

b. 3t ≥ 36

Step-by-step explanation:

She gets $3 per three-pointer. The variable <em>t</em> stands for three-pointer. So in mathematical terms, it would be 3<em>t</em>.

She wants a minimum of 36 dollars, therefore the sign would be ≥. This means 3<em>t </em>has to be greater than or equal to 36.

So, 3<em>t</em> ≥ 36

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2 years ago
Factorise 9w² - 100<br><br><br>​
ohaa [14]

Answer:

9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10).

Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
  • On the other hand, 10^{2} = 100.

Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

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Which of the following are solutions for x<br> in the equation ax2 = bx?<br> Select all that apply.
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