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3 years ago

S has the coordinates (1,3) and is the midpoint of R and T where the coordinates of R are (4,-7) find the coordinates of T

Mathematics

1 answer:

Alexus [3.1K]3 years ago

6 0

Step-by-step explanation:

(1-4, 3-(-7))

=(-3,10)

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(x2 + 4)(x2 - 4) please help

VikaD [51]

( $x^{2}$ + 4)( $x^{2}$ - 4)

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x^2 + 4)(x^2 - 4)

x^2 * x^2

x^4

Outside:

(x^2 + 4)(x^2 - 4)

x^2 * -4

-4x^2

Inside:

(x^2 + 4)(x^2 - 4)

4 * x^2

4x^2

Last:

(x^2 + 4)(x^2 - 4)

4 * -4

-16

Now combine all the products of the FOIL together like so...

x^4 - 4x^2 +4x^2 - 16

Combine like terms:

x^4 - 4x^2 +4x^2 - 16

- 4x^2 +4x^2 = 0

x^4 - 16 <<<This is your answer

Hope this helped!

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3 years ago

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

skad [1K]

<span>The definition of quadratic function is given by:

</span> $(1) \ f(x)=ax^{2}+bx+c \\ \\ where \ a, b, c \ are \ real \ values$ <span>

So the problem asks for two conditions:

<em>1. Write the quadratic function in factored form. </em>
<em>2. The vertex has an x-coordinate of 3.</em>

Then the equation (1) must be written as follows:

</span> $f(x)=(x-m)(x-n) \\ \\ where \ m \ and \ n \ are \ the \ roots$ <span>

To satisfy the two conditions:

$\frac{m+n}{2}=3$

So we are free to choose the value of one root, say:

$m=1$

Thus:

$n=6-1=5$

Finally, the answer is:

$f(x)=(x-1)(x-5)$

The graph of this function is shown in the figure below.</span>

4 0

3 years ago

Read 2 more answers

lauramakes a 10.5% commison on each of her sales. how much does she make when she sells a house for 85,000?

loris [4]

Answer: $8929

Step-by-step explanation:

5 0

3 years ago

Five classes collected money for a charity of their choice. The amounts of money collected by the boys and girls of each are sho

34kurt

The girls collected 8.5 pounds more than the boys in class 4

<h3>Complete question</h3>

Five classes collected money for a charity of their choice. The amounts of money collected by the boys and girls of each are shown in the chart below.

In Class 4, how much more money did the girls collect than the boys?

<h3>How to determine the difference in amounts?</h3>

From the attached chart, we have the following amount in class 4:

Girls = 12 pounds

Boys = 3.5 pounds

The difference is calculated as:

Difference = Girls - Boys

So, we have:

Difference = 12 pounds - 3.5 pounds

Evaluate

Difference = 8.5 pounds

Hence, the girls collected 8.5 pounds more than the boys in class 4