What is the slope of the graph?

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Area of given rectangle = 24 square inches.

The correct option is C.

A rectangle is cyclic: all corners lie on a single circle. ; It is equiangular: all its corner angles are equal (each of 90 degrees).

Given,

Length of rectangle = 12 inches

Width of rectangle = 2 inches

Area of rectangle = length × width

                             = 12 × 2

Area of rectangle = 24 square inches.

Hence, 24 square inches is the area of rectangle.

Learn more about rectangle here:

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Answer:

X=48

Step-by-step explanation:

x^2+y^2=z^2

but in this case it's z^2-y^2=x^2

so 73^2= 5329

and 55^2=3025

5329-3025=2304

Square Root of 2304 is 48, meaning X=48

Hope this helps!

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

More about the triangle link is given below.

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Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100

Answer:  $50

Step-by-step explanation:  Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

1.5 km per hour

ngl i could be wrong :/

Answer: y=2x-3

Step-by-step explanation: I looked it up.

Answer:

I believe its 2/3

Step-by-step explanation:

Answer:

7(z+10)

Step-by-step explanation:

it is factored fully now

Answer:

hehehe

Step-by-step explanation:

Answer:

the answer is 600!

Step-by-step explanation:

the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!

Answer:

300+20x, 600 total copies created.

Step-by-step explanation:

x= number of days.

20 papers per day.

20(15) is 300.

300+300=600

Answer:

Sophia can drive 3672 miles using 18 gallons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

Answer/ explaination

the answer is 108, not 180 because 9 goes into 7, 0 times but he put 8

Answer:

D: A(x) = 4x² + 40x + 96

Step-by-step explanation:

Dimensions of photo is;

Length; L = 12 inches

Width; W = 8 inches

Now, this picture is surrounded by a frame that is "x" inches wide. Thus, new dimensions are;

L_new = 12 + x + x = 2x + 12

W_new = 8 + x + x = 2x + 8

New area is;

A_new = (2x + 12) × (2x + 8)

A_new = 4x² + 24x + 16x + 96

A_new = 4x² + 40x + 96

Answer:

SAS Congruency (see below)

Step-by-step explanation:

First, prove the two triangles congruent:

You should know that ∠HKL ≅ ∠MKL because of Vertical Angles Congruence Theorem because they're vertical angles.

If it's already given that HK ≅ MK and JK ≅ LK, then you can clearly see that you can use the SAS Postulate to prove ΔHKL ≅ ΔMKL.

For a flow chart proof for this, refer to the image:

Answer:

An equilateral triangle has all its 3 angles the same.

Hope this helped. :)  

Equilateral triangle:

An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.

Additionally, an equilateral triangle has three equal angles of 60 degrees.

Equilateral Triangle Perimeter:

In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.

In the event that ABC is an equilateral triangle, then its perimeter is;

Perimeter = AB + BC + AC

P = a + a + a

P = 3a    [where "a" is the triangle's side length.]

To read more about "Equilateral Triangle" here:

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Answer:

the answer is 1.7320508076

Answer:

y= 1/18x + 14

Step-by-step explanation:

Well we can first right the equation like  :  to find the slope

14- 15

____  = -1/-18 = 1/18

0-18

Now we know  the slope is 1/18

we can substitute one point in the equation and the slope to find the equation

let's take 0,14

14= 1/18 ( 0 ) + b

14=b

so b= 14

the y-intercept is 14

the equation is

y= 1/18x + 14

Answer:

58

Step-by-step explanation:

57.5 round up. 58

Answer:

The quadratic equation is

3x^2+ 27x + 60

Step-by-step explanation:

Here, we have the roots -5 and -4 and the leading coefficient of 3

Mathematically, we simply have this done to the roots;

x = -5 implies x+ 5

x = -4 implies x + 4

The product of this two will be;

(x + 5)(x + 4)

= x^2 + 5x + 4x + 20

= x^2 + 9x + 20

we add the leading coefficient

that would be;

3(x^2 + 9x + 20)

= 3x^2 + 27x + 60

Answer: it is called the base

Step-by-step explanation:

Answer:

22/44, divide both sides by 22, then you would got 1/2

1/2. This is because 22 is half of 44, so we can simplify it into 1/2.