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4 years ago

(4ab - 8a 2 + 12ac) ÷ 4a

Mathematics

1 answer:

ioda4 years ago

7 0

we are given

$\frac{(4ab-8a^2+12ac)}{4a}$

we can see that

4a is in multiple in numerator

so, we can factor it out

$\frac{4a(b-2a+3c)}{4a}$

now, we can cancel 4a

and we get

$(b-2a+3c)$ .............Answer

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Determine the equation of the plane in the form

Bond [772]

A plane parallel to vectors <9, 6, 2> and <-8, -4, -5> is given by
$\left|\begin{array}{ccc}x&y&z\\9&6&2\\-8&-4&-5\end{array}\right| =0\\ (-30 + 8)x - (-45 + 16)y + (-36 + 48)z = 0\\-22x+29y+12z=0$

Since the plane passes through point (5, -5, 8), then
-22(5) + 29(-5) + 12(8) = -110 - 145 + 96 = -159

The required plane is -22x + 29y + 12z = -159
z = 11/6x - 29/12y - 53/4

8 0

4 years ago

Sam and Harry are family. Sam is currently is three times Harry's age. Sam's age is also 10 more than twice Henry's age. What ar

kramer

Answer:

<em>Sam is 30 years old, and Harry is 10 years old.</em>

Step-by-step explanation:

Let us assume that the age of Sam is x and the age of Harry is y.

Sam is currently is three times Harry's age.

So, $x=3y$ ----------------------1

Sam's age is also 10 more than twice Harry's age.

so, $x=2y+10$ ---------------2

Subtracting 2 from 1, we get

$\Rightarrow x-x=3y-2y-10$

$\Rightarrow 0=y-10$

$\Rightarrow y=10$

putting this in equation 1,

$x=3(10)=30$

Therefore, Sam is 30 years old, and Harry is 10 years old.

6 0

3 years ago

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On easter morning 20 eggs were hidden kyla found 1/2 of them kevin found 1/4 of them what fraction of eggs were left to find

kotykmax [81]

$\frac{1}{2}*20= 10 
$ and $\frac{1}{4}*20= 5$
This means that Kayle found 10 eggs while Kevin found 5 eggs.
so 20-(10+5)= 5 eggs left.
To find the fraction, divide the number of eggs left over the number of total eggs.
$Fraction= \frac{5}{20}= \frac{1}{4}$

Hope this helps!

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4 years ago

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Can someone please answer. It's only one question there's a picture. Thank you!

bearhunter [10]

The answer for your question is C. I illustrated as the slope of the graph of the equation. This is because the change in y divide by the change in x constant for any two points on the line.

Hope this helps:)

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4 years ago

What does the word “change “ tell you to do in “keep change flip” for dividing fractions? A) change the sing to multiplication b

Harman [31]

Answer:

Step-by-step explanation:

Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.

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4 years ago

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