All categories

2 years ago

Analyze the diagram below and answer the question that follows.

Mathematics

1 answer:

Nat2105 [25]2 years ago

4 0

Answer:

Step-by-step explanation:

the cos of an angle of 45° is equal to √2/2~=0,7071

Do you want the full explanation?

You might be interested in

Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

4 0

3 years ago

Brown ball weighed 1.6 pounds and the green ball weighed 0.39 pounds if he placed both on the scale at the same time what will t

NemiM [27]

1.6+0.39 which is 1.99 pounds.

8 0

3 years ago

Help please please help

Artemon [7]

Answer:

could you maybe give me a better picture in the light or something? it is hard for me to see it

Step-by-step explanation:

7 0

3 years ago

Pete is saving up for a bike and knows he'll need to spend at least $220 to get the one he wants. He saves $45 each month. How l

prisoha [69]

220= 45*x. I hope you are satisfied with my answer.

4 0

3 years ago

Ursula Vanov can invest $5,000 in a 1-year CD at 3% compounded monthly or a 1-year CD compounded daily. Determine the amount at

Aliun [14]

Solving for the amount of maturity given that it is compounded monthly for 1 year with an interest of 3%, we have the formula and solution below:
A = P (1+r/n)^rn
A = $5,000 (1.040417)
A =$5202.085

For compounded daily, we have the solution below:
A = $5,000 (1.040443)
A = $5202.215

The difference in amount is shown below:
Difference = $5202.215 - $5202.085
Difference = $0.13

7 0

3 years ago