What is the value of the expression below when x 5 and y = 5? 6x

Which function should be used to when evaluating the function at x = −5? HELP ASAP!!

Furkat [3]

<u>Given</u>:

Given that the function $p(x)=\left\{\begin{array}{ll}\frac{1}{4} x^{2}+1 & \text { if } x \leq 3 \\\frac{1}{4} x+2.5 & \text { if } x>3\end{array}\right.$

We need to determine the function to evaluate when x = -5.

<u>Function</u>:

The function is given two interval. The interval $x\leq 3$ means that x takes all values less than or equal to 3.

And the interval $x>3$ means that x takes all values greater than 3.

We need to determine the function that takes the limit when x = -5.

From the two limits, the limit x = -5 lie in the interval $x\leq 3$ because the interval takes all x values less than or equal to 3.

Hence, the function is $p(x)=\frac{1}{4} x^{2}+1$

Thus, Option A is the correct answer.

4 0

4 years ago

A right triangle has a hypotenuse length of 13 units. One leg has a length of 12 units. Which equation can be used to determine

viktelen [127]

a = √(13² - 12²) units

<h3>Further explanation</h3>

<u>Given:</u>

A right triangle has a hypotenuse length of 13 units.
One leg has a length of 12 units

<u>Question:</u>

Which equation can be used to determine the length of the other leg?

<u>The Process:</u>

We will solve a problem regarding right triangles. In the process, there is a relationship between the Pythagorean Theorem with Exponent and Square Root.

Let us find out the equation to determine the length of the other leg. Let the length of the leg as "a".

The Phytagorean Theorem:

$\boxed{ \ (leg)^2 + (leg)^2 = (hypotenuse)^2 \ }$

$\boxed{ \ a^2 + 12^2 = 13^2 \ }$

Subtract by 12² on both sides.

$\boxed{ \ a^2 = 13^2 - 12^2 \ }$

To take the square root on both sides.

So here's the equation that can be used to determine the length of the other leg: $\boxed{\boxed{ \ a = \sqrt{13^2 - 12^2} \ }}$

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Notes

If we continue working on the above, the results will be as follows:

$\boxed{ \ a = \sqrt{13^2 - 12^2} \ }$

$\boxed{ \ a = \sqrt{169 - 144} \ }$

$\boxed{ \ a = \sqrt{25} \ }$

Hence the length of the other leg equal to a = 5 cm.

Of course, we agree with the use of the right intuition, which is to remember Pythagorean Triples, i.e., $\boxed{ \ 5-12-13 \ }.$ This method is very convenient when working on multiple-choice tests in a limited amount of time.

<h3>Learn more</h3>

What are the lengths of the legs of the triangle? brainly.com/question/13027296
Find out the measures of the two angles in a right triangle brainly.com/question/4302397
A word problem of a quadratic equation brainly.com/question/11805547

5 0

4 years ago

The length of a rectangular field is 45 ft greater than its width, w ft. how much fencing is needed to enclose the field and div

allsm [11]

Answer:

Length of fencing needed = 4x + 45

Step-by-step explanation:

Assume;

Width of rectangle = x

So,

Length of rectangle = x + 45

Find:

Length of fencing needed

Computation:

Length of fencing needed = 2(l+b) + b

Length of fencing needed = 2(x+45+x) + x

Length of fencing needed = 2(2x+45) + x

Length of fencing needed = 4x + 45

8 0

3 years ago

A circle passes through the vertices of

Vika [28.1K]

Answer:

a) 14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L) of the diagonal given that:

L² = (20)² + (20)²

L² = 2* (20)²

L = √2 * 20

L = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm

3 0

3 years ago

450 yards in 15 minutes?

madam [21]

Answer:

30 yards per minute.

Step-by-step explanation:

Unit rate is basically when the denominator is 1. In this case, 450 is divisible by 15, so if you divide that, you get 30.

4 0

3 years ago

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What is the value of the expression below when x 5 and y = 5? 6x — бу – -​

What is the value of the expression below when x 5 and y = 5? 6x — бу – -