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3 years ago

2x to the fourth power + 5x squared + 3, factored

2 answers:

8 0

We want to factor:
$2x^4+5x^2+3$

This may seem tricky because of the high powers, but remember that $x^4=(x^2)^2$ . Then we can factor it as:
$2x^4+5x^2+3=(2x^2+3)(x^2+1)$

Alexeev081 [22]3 years ago

8 0

(x squared+1)(2x squared+3)

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Which statement best explains the relationship between lines FG and HJ?

Taya2010 [7]

Answer:they are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

FG’s slope is 3/4 while HJ’s slope is 2/3. i just had this question on my test lol

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3 years ago

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4 years ago

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M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle

we have that

$MF=9\ units$

therefore

$ME=9\ units$

$MD=9\ units$

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

$MC^{2} =MD^{2}+DC^{2}$

we have

$MD=9\ units$

$MC=15\ units$

substitute

$15^{2} =9^{2}+DC^{2}$

$DC^{2}=225-81$

$DC=\sqrt{144}\ units$

$DC=12\ units$

6 0

4 years ago

Help Please I dont know

dybincka [34]

Answer:

$y=2x$

Step-by-step explanation:

Here we are given that for every 2 cups of water , Jada is mixing up 4 cups of Apple Juice. Hence it makes a patter which look like this as given under in a tabular format

x y

2 4

6 12

10 20

We are required to find the equation of the relation that exit between this pattern. Assuming them to be the coordinates , we will apply the two point form and find the equation.

Two point form is

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ -----------------(A)