The diagonal of a square is 60 in, as shown
in the diagram. What is the length of a side
to the nearest tenth of an inch?

Answer:

D

Step-by-step explanation:

The product of the slope of perpendicular lines  = -1

y = (-1/4)x - 6  ; here slope = -1/4

y = 4x + 11      ;  slope = 4

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

Answer:

220

Step-by-step explanation:

40 x 8 = 320, and 10 squared is 100. 320 - 100 = 220.

Step-by-step answer:

40x8-10^2

40x8-100

320-100

220

Answer:

The slope is 2/3.

Step-by-step explanation:

Rise over run.

Answer:

4

Step-by-step explanation:

The area is 16, and you know that it's 2 sides u need to multiply

The perimeter is 16, and you know that you need to add up all the sides

So....

A = b * h

A = 4 * 4

A = 16    CORRECT

And....

P = S + S + S + S                                                         ( s = sides)

P = 4 + 4 + 4 + 4

P = 16 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

24

Step-by-step explanation:

Put it in Desmos, and it’ll show you

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -0.5x² + 16x – 96

The function represents the height of a rocket as a function of its horizontal position.

It is reasonable to assume that the rocket is launched from the ground

(x = 0) and that it has some minimum height (above ground level) before it is launched.

Now,

We can find this minimum height by finding the vertex of the parabola, which is given by.

x = -b / (2a)

where a = -0.5 and b = 16.

Plugging in these values, we get.

x = -16 / (2(-0.5))

x = 16

Now,

The vertex occurs at x = 16.

To find the minimum height, we can plug this value into the function.

f(16) = -0.5(16)² + 16(16) - 96

       = 128

Therefore,

The rocket has a minimum height of 128 feet above ground level before it is launched.

To find the reasonable domain of the function.

Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.

Now,

We can find the x-value where the rocket reaches ground level

(i.e., its height is zero) by setting f(x) = 0.

Solving for x.

-0.5x² + 16x - 96 = 0

Using the quadratic formula.

x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))

x = ( -16 ± √(1216) ) / (-1)

x ≈ 24.7 or x ≈ 7.3

Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.

Therefore,

The reasonable domain of the function is 8 ≤ x ≤ 24.7

This means,

The rocket will remain above ground level for all values of x between 8 and approximately 24.7.

Thus,

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

$14.70

Step-by-step explanation:

$49 x .30 = $14.70

Answer:

i believe it is neither a function or a relation

Step-by-step explanation:

Answer:

Neither a function or a relation

Step-by-step explanation:

Answer: 9 x 7

Step-by-step explanation: 9 x 7 = 63

Hope this helps!

Answer:

I'm not sure I understand this. elaborate a bit more and I can help tho :)

Step-by-step explanation:

Let x be the smallest even integer.

Then (x + 2) and (x + 4) are the other even integers.

We have x + (x + 2) + (x + 4) = 138.

=> 3x + 6 = 138

=> 3x = 132

=> x = 44.

Hence the smallest integer is 44.

Answer:

Leading Coefficient = -8

The degree of f(x) is 4

Step-by-step explanation:

The leading coefficient is always the first number in the equation which is -8 and the highest degree here is 4 as the leading term.

Answer:

[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^6}{6x^{-1}}[/tex]

Required

Solve

In laws of indices, we have:

[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

So, the expression becomes:

[tex]\frac{3x^{6 - (-1)}}{6}[/tex]

[tex]\frac{3x^{6 +1}}{6}[/tex]

[tex]\frac{3x^7}{6}[/tex]

Divide 3 and 6 by 3

[tex]\frac{1x^7}{2}[/tex]

[tex]\frac{x^7}{2}[/tex]

This can be rewritten as:

[tex]\frac{1}{2}x^7[/tex]

Hence:

[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]

Answer:

(-7,9)

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

The rate of change is 7

Step-by-step explanation:

multiply x by 7 to get the y value

Answer:

See the attached

Step-by-step explanation:

The highlights are attached

Answer:

I think it would be (1,-2)

Step-by-step explanation:

I can verify that it is a solution because y=1-3 is the same solution as y=-3+1

The results would be x=-2 for both

Answer:

No

Step-by-step explanation:

Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

Step-by-step explanation:

Answer:

Its either answer B. or D. Sorry if I'm wrong and I hope this sorta helps.

Answer:

The answer is "Zeros are 0 and 4".

Step-by-step explanation:

Given equation:

[tex]\to x^5+3x^3+x^2+2x[/tex]

applying the by direct verification:  

[tex]\to \phi_{0} (x^5+3x^3+x^2+2x) =0^5+3 \cdot 0^3+0^2+2 \cdot 0 \\\\[/tex]

                                         [tex]= 0 \ mod \ 5 \\\\[/tex]

[tex]\to \phi_{1} \ (x^5+3x^3+x^2+2x) =1^5+3 \cdot 1^3+1^2+2 \cdot 1 \\\\[/tex]

                                          [tex]= 1+3+1+2 \ mod \ 5 \\\\ = 2 \ mod \ 5[/tex]

[tex]\to \phi_{2} \ (x^5+3x^3+x^2+2x) =2^5+3 \cdot 2^3+2^2+2 \cdot 2 \\\\[/tex]

                                          [tex]= 2+4+4+4 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]

[tex]\to \phi_{3}\ (x^5+3x^3+x^2+2x) =3^5+3 \cdot 3^3+3^2+2 \cdot 3 \\\\[/tex]

                                          [tex]= 3+1+4+1 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]

[tex]\to \phi_{4} \ (x^5+3x^3+x^2+2x) =4^5+3 \cdot 4^3+4^2+2 \cdot 4 \\\\[/tex]

                                          [tex]= 4+2+1+3 \ mod \ 5 \\\\ = 0 \ mod \ 5[/tex]

Answer:

2.50 miles

Step-by-step explanation:

Let the distance between the houses be X.

Since, 1mile + 0.25miles = X/2 miles

X = 2.50 miles

Answer:

$3

Step-by-step explanation:

You divide 6 by 2

Answer:

um theres no picture or anything but when a value decreases in an equation its exponential decay...

Answer:

While some call having one to two months' wages in reserve ideal, most financial experts say that the recommended emergency fund amount should cover three to six months' worth of household expenses. That's a great idea, and a key part of any sound financial plan, but it also requires some effort to achieve.

Answer:

y = 5x + 10

Step-by-step explanation:

Use formula: y = mx + b

1. Since m = 5, plug it into where m is

2. 10 has no variable so it's b ( the y-intercept)