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3 years ago

Help me with this please :)

Mathematics

1 answer:

shtirl [24]3 years ago

7 0

Answer:

second option

G(3 , -4) ; H(8 , 1)

Step-by-step explanation:

For the line GH to be a median, the point G must have the intermediate value at x and at y between points A and B, and the point H must have the intermediate value at x and at y between points A and B

G = (Ax + Bx)/2 , (Ay + By)/2

G = (3 + 3)/2 , (-9 + 1)/2

G = 6/2 , -8/2

G = (3 , -4)

H = (Cx + Bx)/2 , (Cy + By)/2

H = (13 + 3)/2 , (1 + 1)/2

H = 16/2 , 2/2

H = (8 , 1)

This is because for a medium to be the point p has to be right in the middle of the other 2 vertices

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How do i solve this question, please help and pls explain a³x - x⁴ + a²x² - ax³

taurus [48]

Answer:

$\huge\boxed{x(a-x)(a+x)^2}$

Step-by-step explanation:

In order to factor this expression, our goal is to write the expression in a way that we can factor out a term.

With the expression $a^3 x - x^4 + a^2 x^2 - ax^3$ , we need to note an exponent rule.

$a^{b+c} = a^b a^c$

We can use this to get each term of this expression to have a term of $x$ so we can factor it out.

Let's look at each term and get it so that we can factor out an x term.

$a^3 x = x a^3$ (Commutative Property)
$x^4 = xx^3$ (Since $x^3 \cdot x^1 = x^4$ )
$a^2 x^2 = a^2 \cdot xx$ (Since $x^2 = x \cdot x$ )
$ax^3 = a \cdot xx^2$ (Since $x^3 = x^2 \cdot x^1$

With this, our equation becomes $(xa^3) - (xx^3) + (xxa^2) - (xx^2a)$ .

We now can factor out the common term x.

$x(a^3 - x^3 + xa^2 - x^2a)$

From here, we can now factor $a^3 - x^3 + xa^2 - x^2 a$

Rearrange the equation: $a^3 +xa^2 - x^3 - x^2a$
Factor out $a^2$ from $a^3 + xa^2$ which comes out to be $a^2(a+x)$
Factor out $-x^2$ from $-x^3 - x^2a$ which comes out to be $-x^2(x+a)$
We now have $a^2(a+x) - x^2(x+a)$
Factor out the common term, $(a+x)$ , which comes out to be $(a+x)(a^2 - x^2)$
Factor $-x^2+a^2$ into $(a+x)(a-x)$

We now have $(a+x) (a+x) (a-x)$ , which is simplified to $(a-x)(a+x)^2$

<h2>Finalizing:</h2>

Since we have just factored $a^3 - x^3 + xa^2 - x^2 a$ and factored x out of $a^3 x - x^4 + a^2 x^2 - ax^3$ in the first couple of steps, we need to have it as a factorization of x.

$x(a-x)(a+x)^2$

Hope this helped!

7 0

3 years ago

Select the correct answer from the multiple choice below.

gtnhenbr [62]

(Could easily be wrong, Math is not my strongsuit) I think its D, because you are suppose to convert the fuel tank capacity to the miles per gallon.

5 0

3 years ago

Read 2 more answers

Find RA, 90: (2,5) given that point A is located at (-3, -3).

Anna71 [15]

Answer:

The value of RA is " 9.43".

Step-by-step explanation:

In the given question there is some typing mistake so, the points are:

R =(2, 5)

A= (-3, -3)

Find:

RA= ? where it is a distance (D).

Formula:

$D= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2} \\\\\ compare \ the \ value \\\\x_1 = 2\\y_1=5\\x_2=-3\\y_2= -3$

put the value in the formula:

$\Rightarrow D =\sqrt{(-3-2)^2+(-3-5)^2} \\\\\Rightarrow D =\sqrt{(-5)^2+(-8)^2} \\\\\Rightarrow D =\sqrt{25+64} \\\\\Rightarrow D =\sqrt{89} \\\\\Rightarrow D = 9.43\\$