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3 years ago

Determine what to add to make the trinomial a perfect square. x2+8x+___

Mathematics

1 answer:

Nataly_w [17]3 years ago

6 0

Answer: 16

Step-by-step explanation:

For a perfect square each factor is identical.

Now, we have to find a number that adds to get 8.

The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.

Now, we know that the missing number is 16.

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Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec

IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

$x+y=2$

And we subtracted x from both sides to acquire:

$y=2-x$

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

If we rearrange our equation:

$y=2-x\\y=-x+2$

And put some parentheses:

$y=(-1)x+(2)$

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

In other words, the slope is -1 and the y-intercept is 2.

3 0

3 years ago

Read 2 more answers

What are the restrictions of the domain of the function F(x) = 1/x^2-9

Sonbull [250]

$f(x)=\frac{1}{x^2-9}$

The denominator can't be equal to 0.
$x^2-9 \not= 0 \\
x^2 \not= 9 \\
x \not= -3 \ \land \ x \not= 3$

The domain is all numbers except -3 and 3.
$x \in \mathbb{R} - \{-3, 3 \}$

6 0

3 years ago

Need help with this asap

ipn [44]

Answer:

SSS

Step-by-step explanation:

All sides with the same amount of lines are congruent

5 0

3 years ago

Find the inverse of f(x)=(x−5)/(−4x−2)

uysha [10]

Answer:

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

Step-by-step explanation:

The given rational function is

$f(x) = \frac{x - 5}{ - 4x - 2}$

Let

$y = \frac{x - 5}{ - 4x - 2}$

Interchange x and y

$x= \frac{y- 5}{ - 4y - 2}$

Cross multiply

$x( - 4y - 2)= y- 5$

Expand

$- 4xy - 2x= y- 5 \\ - 4xy - y= 2x - 5 \\y( - 4x - 1)= 2x - 5$

Solve for y;

$y= \frac{ 2x - 5}{ - 4x - 1}$

$y= \frac{ 5 - 2x }{ 4x + 1}$

Therefore

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

7 0

3 years ago

I need help 25 points

marissa [1.9K]

90 square inches i think!!!

4 0

3 years ago