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marin [14]
3 years ago
6

Find x in this 45°-45°-90° triangle. x=

Mathematics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

24

Step-by-step explanation:

This is the same question as before just flipped around

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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
11 months ago
Jacie can swim 3/4 of a mile in 3/8 of an hour.how far can she swim in one hour?
Vladimir [108]

Answer:

2 miles

Step-by-step explanation:

convert 3/4 into 6/8. With this you have a ratio of 6/8 miles to 3/8 hours. Meaning 2/8 mile is equal to 1/8 of an hour. With this you can find that Jacie can swim 2 miles in a hour



8 0
3 years ago
Angles on a Straight line always add up to........... degrees
Elden [556K]

Answer:

180°

Step-by-step explanation:

Angles that are called straight angles make up a straight line.

A straight line measures 180°.

So, angles on a straight line make up 180°.

Hope this helps.

4 0
3 years ago
What fraction is equivalent 2/6
ss7ja [257]
1/3 is equivalent to 2/6 i hope this helped ^^
4 0
2 years ago
Read 2 more answers
My mommy is being mean<br> :(
GREYUIT [131]

Lol why do u think that?

6 0
2 years ago
Read 2 more answers
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