Need help with Writeing the quadratic function with at two zero where x = ‒2 and x = 0.

In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

<span><u><em>Answer:</em></u>
sin (C)

<u><em>Explanation:</em></u>
<u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span> $\frac{opposite}{hypotenuse}$
<span>
cos (theta) = </span> $\frac{adjacent}{hypotenuse}$
<span>
tan (theta) = </span> $\frac{opposite}{adjacent}$ <span>

<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span> $\frac{4}{5}$ <span>

<u>Second option:</u>
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span> $\frac{4}{5}$
<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

</span>

8 0

2 years ago

Read 2 more answers

Find the exact length of the third side

Daniel [21]

Answer:

√23

Step-by-step explanation:

When you are given two side lengths of a right triangle, you use the Pythagorean theorem to find the third side: a² + b² = c², where c is the hypotenuse (the longest side).

All you have to do is plug the given information in:

Remember, 13 is the hypotenuse for this triangle.

12² + b² = 13²

Simplify:

144 + b² = 169

Subtract 144 from both sides:

b² = 169-144

b² = 23

Square root both sides:

b = √23

And that's your answer!

7 0

2 years ago

Please help me as I need this by today

sdas [7]

The system shown at the right has no solution, as the grahs never intersect.
On the other hand, the line and the parab. at the left do intersect, and the points of intersection are (-3,0) and (6,6).

6 0

2 years ago

Which numbers chart follows the rule add 7

shepuryov [24]

7,14,21,2835,42,49,56

8 0

2 years ago

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Anarel [89]

The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -4, -2 and 2
y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (0.5, ∝) and (-∝, -3)
Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-4, -2) and (2, ∝)
Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝