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Eva8 [605]
3 years ago
14

PLZ HELP

Mathematics
2 answers:
IgorLugansk [536]3 years ago
8 0

Answer:

i dont know for sure but it says possible order pairs

6,12

polet [3.4K]3 years ago
6 0

Answer: 8 and 14

Step-by-step explanation:

I'm 100% sure its 8 and 14

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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=-20x=-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:

8 0
1 year ago
Assume that two chords in a given circle are the same distance from the
Alenkinab [10]

Step-by-step explanation:

If the two chords are congruent, then they must be equidistant from the centre of the circle.

Answer: <u><em>D) They must be perpendicular</em></u>

A is rejected because the chord might not pass through the center of the circle.

B is rejected because the chords are not obligated to be parallel.

C is rejected because it is not compulsory for the chords to be perpendicular.

4 0
3 years ago
Read 2 more answers
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
daser333 [38]

Answer:

\dfrac{dV}{dt}=502.65\ mm^3/s

Step-by-step explanation:

The volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3

The rate of change of volume means,

\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}

We have, \dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm

So,

\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s

So, the volume is increasing at the rate of 502.65\ mm^3/s.

6 0
3 years ago
If sin 0=7/25, use the Pythagorean identity to find cos 0
dmitriy555 [2]
3+x=23t therefore the answer should be D


4 0
3 years ago
Round 4356.02247592 to the 3 decimal places
Arturiano [62]

Answer:

4356.020

Step-by-step explanation:

3 0
3 years ago
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