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2 years ago

(-2, 6) and (4, -6) slope

Mathematics

1 answer:

Jobisdone [24]2 years ago

5 0

slope formula:

(y2-y1)/(x2-x1)

(-6-6)/(4-(-2))

-12/6=

-2

SLOPE: -2

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Consider the following quadratic function Part 3 of 6: Find the x-intercepts. Express it in ordered pairs.Part 4 of 6: Find the

maksim [4K]

Answer:

The line of symmetry is x = -3

Explanation:

Given a quadratic function, we know that the graph is a parabola. The general form of a parabola is:

$y=ax^2+bx+c$

The line of symmetry coincides with the x-axis of the vertex. To find the x-coordinate of the vertex, we can use the formula:

$x_v=-\frac{b}{2a}$

In this problem, we have:

$y=-x^2-6x-13$

Then:

a = -1

b = -6

We write now:

$x_v=-\frac{-6}{2(-1)}=-\frac{-6}{-2}=-\frac{6}{2}=-3$

Part 3:

For this part, we need to find the x-intercepts. This is, when y = 0:

$-x^2-6x-13=0$

To solve this, we can use the quadratic formula:

$x_{1,2}=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot(-1)\cdot(-13)}}{2(-1)}$

And solve:

$x_{1,2}=\frac{6\pm\sqrt{36-52}}{-2}$ $x_{1,2}=\frac{-6\pm\sqrt{-16}}{2}$

Since there is no solution to the square root of a negative number, the function does not have any x-intercept. The correct option is ZERO x-intercepts.

Part 4:

To find the y intercept, we need to find the value of y when x = 0:

$y=-0^2-6\cdot0-13=-13$

The y-intercept is at (0, -13)

Part 5:

Now we need to find two points in the parabola. Let-s evaluate the function when x = 1 and x = -1:

$x=1\Rightarrow y=-1^2-6\cdot1-13=-1-6-13=-20$ $x=-1\Rightarrow y=-(-1)^2-6\cdot(-1)-13=-1+6-13=-8$

The two points are:

(1, -20)

(-1, -8)

Part 6:

Now, we can use 3 points to find the graph of the parabola.

We can locate (1, -20) and (-1, -8)

The third could be the vertex. We need to find the y-coordinate of the vertex. We know that the x-coordinate of the vertex is x = -3

Then, y-coordinate of the vertex is:

$y=-(-3)^2-6(-3)-13=-9+18-13=-4$

The third point we can use is (-3, -4)

Now we can locate them in the cartesian plane:

And that's enough to get the full graph:

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4 months ago

How do you convert repeating decimals into fractions

diamong [38]

Answer:So, To convert a decimal to a fraction, begin by placing that decimal over the number 1. Then keep multiplying both the numerator (top number) and denominator (bottom number) by 10 until both are whole numbers.

Step-by-step explanation:

So, To convert a decimal to a fraction, begin by placing that decimal over the number 1. Then keep multiplying both the numerator (top number) and denominator (bottom number) by 10 until both are whole numbers.

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2 years ago

What is the perimeter of a rectangle with a. Length of 13 feet and a width of 9 feet

lisabon 2012 [21]

13 + 13 + 9 + 9
The perimeter is 44

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2 years ago

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PLZZZZ ANSWER ASAP I WILL GIVE BRAINLIEST BUT WILL MAKE SUREIT IS RIGHT FIRST!!!!!!!!!!!!!!!!!!!! Which expression is equivalent

irakobra [83]

Answer:

The correct option is 1/4^2

Step-by-step explanation:

The given expression is:

4^6 * 4^-8

According to the same base rule if the exponents have the same base then the exponents will be added.

If we look at the given expression both the values have the same base.

Therefore we will add the exponents of the value.

= 4^6+(-8)

= 4^6-8

= 4^-2

Now to change the negative exponent into positive we will take it to the denominator.

4^-2 = 1/4^2

Thus the correct option is A....

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Varvara68 [4.7K]

Answer: 3458

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1 year ago