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1 year ago

Entify a pair of segments that are marked perpendicular to each other on

Mathematics

1 answer:

galina1969 [7]1 year ago

6 0

Based on the image, FJH is perpendicular to JI as these two lines form a right angle.

<h3>What is a perpendicular line?</h3>

This name is given to a line that creates a right angle when it intersects or meets with another line.

This concept opposes the concept of parallel line, which is used to describe lines that never intersect and are always the same distance apart.

<h3>How do you identify a perpendicular line?</h3>

Look for a right angle or a a 90° angles.
Identify the lines that intersect to create this angle.
Write down the two lines or line sections.

Based on the above, in the image given two lines that can be classified as perpendicular are the lines FJH (horizontal lines) and JI (vertical line) as their intersection creates a right angle.

Learn more about coordinate planes in: brainly.com/question/14462788

#SPJ1

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If these two shapes are similar, what is the measure of the missing length g?

laila [671]

Answer:

g=3 yards

Step-by-step explanation:

Since the 3yd on the big triangle is reduced to 1 yd on the small triangle divide 9 by 3 to get the missing side length of 3 yards. Hope this helps :)

7 0

2 years ago

Find the 2nd Derivative:<br> f(x) = 3x⁴ + 2x² - 8x + 4

ad-work [718]

Answer:

$f''(x)=36x^2+4$

Step-by-step explanation:

Let's start by finding the first derivative of $f(x)= 3x^4+2x^2-8x+4$ . We can do so by using the power rule for derivatives.

The power rule states that:

$\frac{d}{dx} (x^n) = n \times x^n^-^1$

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

$\frac{d}{dx} (3x^4+2x^2-8x+4)$

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)$

Simplify the equation.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)$
$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)$

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)$
$f'(x)=12x^3+4x-8$

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).

$\frac{d}{d} (f'x) = \frac{d}{dx} (12x^3+4x-8)$

$\frac{d}{dx} (12x^3+4x-8) = ((3)12x^3^-^1 + (1)4x^1^-^1 - (0)8)$

Simplify the equation.

$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4x^0 - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4(1) - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4 )$

Therefore, this is the 2nd derivative of the function f(x).

We can say that: $f''(x)=36x^2+4$

6 0

1 year ago

Read 2 more answers

A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o

frutty [35]

Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0

2 years ago

What is the length of line segment DC

Misha Larkins [42]

The answer is 3 units.

12/4= 3

9/3= 3 units

4 0

2 years ago

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Which pairs of rectangles are similar polygons?<br><br> Select each correct answer.

oee [108]

The corrects answers are B and D for this one.

Since you divide the same side for both the the rectangles on both parts and if the division statements are equaled, then they are similar.

For example;

Answer B.
50 / 10 = 5
and
30 / 6 = 5

Answer D.
7.5 / 2.5 = 3
and
4.5 / 1.5 = 3

Since they both equal the same for both of the rectangles for the answers individually, they are similar polygon rectangles.

Hope this helps!

<em>~ ShadowXReaper069</em><em />

8 0

2 years ago

Read 2 more answers