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3 years ago

84➗2 solve using area model

Mathematics

2 answers:

Ksju [112]3 years ago

5 0

The answer is 42
84
➗2
42

Phantasy [73]3 years ago

3 0

42 and just draw 8 tens and 4 ones and you have your answer:)

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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 $b = 10$ .)

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

8 0

3 years ago

Look at the pattern below.

valentinak56 [21]

You could do 33, 36, 39, 42

5 0

3 years ago

Line BD is tangent to circle O at C, Arch AEC = 299, and ACE = 93. Find Angle DCE.

VladimirAG [237]

In triangle ACE,
we know C=93,E can be calulated by using arch angle AEC...what ever that is....,using this we get A=180-(E+93)

So, by alternate segment theorem, DCE= A.

thats all i can say.

7 0

3 years ago

Cooommmon guys help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!plz

Tom [10]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, -3) and (-2, 9). Substitute:

$m=\dfrac{9-(-3)}{-2-5}=\dfrac{12}{-7}=-\dfrac{12}{7}\\\\y-(-3)=-\dfrac{12}{7}(x-5)\\\\\boxed{y+3=-\dfrac{12}{7}(x-5)}$

5 0

3 years ago

Read 2 more answers

There are 28 students in the math class, and 22 of the students passed recently. What percentage did the test pass?

marissa [1.9K]

About 79% passed

Hope this helps

8 0

3 years ago