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2 years ago

Hence, or otherwise, simplify fully (x² + 4) - (x - 2)2

Mathematics

1 answer:

raketka [301]2 years ago

6 0

Answer:

fully simplified answer: x^2-2x+8

Step-by-step explanation:

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The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.

MArishka [77]

Answer:

The slope is 13.

The x intercept is $x=\frac{-12}{13}$ .

The y intercept is $y=12$ .

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because it's graph forms a line. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, the slope is 13.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

$13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}$

The x intercept is $x=\frac{-12}{13}$ .

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

$13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12$

The y intercept is $y=12$ .

3 0

2 years ago

Find the slope by changing form Standard Form to Slope Intercept Form 7x- 8y = -56

Sholpan [36]

Answer:

y = 7/8x + 7

Step-by-step explanation:

7x- 8y = -56

-7x -7x

-8y = -7x - 56

y = 7/8x + 7

6 0

2 years ago

Read 2 more answers

Evaluate the function for the given values of x.

galben [10]

Answer:

g(3) = 11

g(-3) = 16

g(-1) =3

Step-by-step explanation:

For g(3)

g(x)= x² +2

g(3) = 3² + 2

g(3) = 9+2

g(3) = 11

For g(-3)

g(x) = -3x + 7

g(-3) = -3(-3) + 7

g(-3) = 9 + 7

g(-3) = 16

For g(-1)

g(x) = x² + 2

g(-1) = (-1)² +2

g(-1) = 1+2

g(-1) =3

6 0

2 years ago

What is the slope of the line that passes through the points (9, -1) and (4, -11)?

mixas84 [53]

Answer:

Step-by-step explanation:

We have two points so we can find the slope

m = ( y2-y1)/(x2-x1)

= ( -11 - -1)/( 4 -9)

= (-11+1)/( 4-9)

-10/ -5

= 2

4 0

2 years ago

Help me plssssssssssss

Alik [6]

The answer is B because -84 divided by -28 equals 3 and -6 divided by -2 equals 3

7 0

3 years ago