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Volgvan
3 years ago
10

CW

Mathematics
1 answer:
NikAS [45]3 years ago
6 0

Answer:

OC. If two figure are congruent,

then there is a sequence of

transformations that maps one

figure to the other.

Step-by-step explanation:

Rigid transformations include reflections, translations and rotations.

These transformations or a combination of them produces congruent shapes.

This means that, If two figure are congruent, then there is a sequence of

transformations that maps one

figure to the other.

The 3rd choice is correct.

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════════ ∘◦❁◦∘ ════════

<h3>Answer : y = ⅚x - 3</h3>

════════════════════

<h3>Known</h3>

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

<h3>Question</h3>

Equation of the line (y = mx + c)

════════════════════

<h3>Way to do</h3>

#First, you find the gradient (m)

m =  \frac{y2 - y1}{x2 - x1}  =  \frac{(( - 8) - 2)}{(( - 6) - 6)}  =  \frac{( - 10)}{( - 12)}  =  \frac{5}{6}

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

════════════════════

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What is the Linear Function?
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Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?
saw5 [17]

The value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4

Evaluate the combination factors.

So, we have:

(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4

Evaluate the exponents and the products

(2x -3)^4 = 16x^4  + 96x^3  +216x^2 -216x + 81

Hence, the value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

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