i like to ride on the interurban trail for a total distance of 30 miles. it takes me 2 hours. what is my average speed while riding my bike in miles per hour?

Answer:

If you are trying to simplify the expression, the answer is -14x^2+8x-37

Step-by-step explanation:

First, keep removing the parentheses.

(x-1)(2-x)+(x^2+5)(x-7) -x^2(x+6)

Next, try expanding the expression.

3x - x^2 - 2+ (x^2+5)(x-7)-x^2(x+6

3x-x^2-2+x^3-7x^2+5x-35-x^2(x+6

3x-x^2-2x^3-7x^2+5x-35-x^3-6x^2

Finally, simplify the expression.

-14x^2 8x-37

I hope this helped to answer your question.

Answer:

[tex] \frac{1}{2} [/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Slope= (y1-y2)\(x1-x2)=(3-4)\(6-8)=0.5

Answer:

Store B

Step-by-step explanation:

To figure out which store has the better deal, we need to figure out the price per unit. We can do this by dividing the price by the number of the shirts. Store A sells their t-shirts for 8.33 or 8 1/3 dollars per shirt, while Store B sells their shirts for 8 dollars a shirt. 8 < 8 1/3, therefore Store B has the better deal.

Answer:

B.

Step-by-step explanation:

If you do 3/25=5/x. You would get $41.6. Another way to show it is to divide 25/3 and 40/5, which would give us $8.3 and $8.

Answer:

28

Step-by-step explanation:

because he spent half of 28 which is 14 and 7x4=28 BOOM

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule [tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex] to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

[tex](x,y)\to (kx,ky)[/tex]

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

[tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex]

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

[tex]k=\dfrac{2}{3}<1[/tex]

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.

  Option (B). Pentagon M'V'E'D'R' is smaller than pentagon MVDER because the scale factor is less than 1.

           image point formed will follow the rule,

           (x, y) → (kx, ky)

            If k < 1, image will be smaller than the preimage.

Given in the question,

Rule for the transformation → [tex](x,y)\rightarrow (\frac{2}{3}x,\frac{2}{3}y)[/tex]

Here, [tex]k=\frac{2}{3}[/tex] which is less than 1.

      Therefore, image pentagon M'V'E'D'R' will be smaller than the original pentagon MVDER.

      Option (B) will be the correct option.

Learn more about the transformation of a figure here,

https://brainly.com/question/2298651?referrer=searchResults

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

To learn more about similar triangles;

https://brainly.com/question/14926756

#SPJ7

Answer:

The quotient when [tex]x^3-4x^2-8x+8[/tex] is divided by [tex]x+2[/tex] is [tex]x^2-6x+4[/tex] with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form [tex](x-a)[/tex]. In this case, we may use synthetic division, since [tex]x+2[/tex] is equal to [tex]x-(-2)[/tex]. I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is [tex]x^2-6x+4[/tex], and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since [tex]x \times x^2[/tex] is equal to [tex]x^3[/tex], the first term in the quotient will be [tex]x^2[/tex]. Since [tex]x^2 \times (x+2)[/tex] is equal to [tex]x^3+2x^2[/tex], we must now subtract that from [tex]x^3-4x^2-8x+8[/tex].

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

I know this might be difficult to follow, so please comment if you have any questions.

Answer:

x=10.001

Step-by-step explanation:

Answer:

Ok so I've had braces and it doesn't really hurt getting put in but it does hurt when they tighten them but you have nothing to worry about :)

Step-by-step explanation:

Answer:

They don't hurt when they put them in however you will feel mild soreness and discomfort as your mouth adjusts to them as with anything, for example, fillings, they feel gritty and uncomfortable at first but your mouth adjusts to it.

" There will be mild soreness or discomfort after the orthodontic wire is engaged into the newly placed brackets, which may last for a few days to a week."

I know its can be scary at first but its for the health of your teeth and not everyone gets that privilege, just make sure to take care of them properly.

Step-by-step explanation:

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

I think this is the answer

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   -21 • 20 = -420

Step-2 : Find two factors of  -420  whose sum equals the coefficient of the middle term, which is   13 .

     -420    +    1    =    -419

     -210    +    2    =    -208

     -140    +    3    =    -137

     -105    +    4    =    -101

     -84    +    5    =    -79

     -70    +    6    =    -64

     -60    +    7    =    -53

     -42    +    10    =    -32

     -35    +    12    =    -23

     -30    +    14    =    -16

     -28    +    15    =    -13

     -21    +    20    =    -1

     -20    +    21    =    1

     -15    +    28    =    13    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  28

                    -21x2 - 15x + 28x + 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   -3x • (7x+5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (7x+5)

Step-5 : Add up the four terms of step 4 :

                   (-3x+4)  •  (7x+5)

Answer:

[tex]given \: x = - \frac{1}{7} [/tex]

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

[tex]( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } [/tex]

[tex] \frac{1}{49} + \frac{1}{ \frac{1}{49} } [/tex]

[tex] \frac{1}{49} + \frac{1 \times 49}{1} [/tex]

[tex] \frac{1}{49} + 49[/tex]

[tex] \frac{2402}{49} \: or \: 49.02[/tex]

Answer:

4 [tex]\sqrt5[/tex]

Step-by-step explanation:

Use Pythagorean theorem to get c^2 for the hypotenuse, which is equal to [tex]\sqrt80[/tex]. You then simplify to get the simplest radical form by [tex]\sqrt80[/tex] = [tex]\sqrt{8*10} = \sqrt{4*2*5*2} = \sqrt{16*5} = 4\sqrt{5}[/tex]

Answer:

x = 10/3

Step-by-step explanation:

Answer:

Adding up 0.2 till it reaches 9 times

Step-by-step explanation:

Brainlliest pls

Answer:

Bro its right

Step-by-step explanation:

Answer:

x ≈ 4.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = 3

Adjacent Leg = x

Step 2: Solve for x

Answer:

I believe the answer is D

Step-by-step explanation:

Answer:

$810

Step-by-step explanation:

you can multiply 210 by 3

Answer:

20x+45x+50 = 180

65x= 130

x = 2

so,

A = 20x = 20×2 = 40

hope u got it.

Answer:

.36363636363

990

0.051

0.21

Step-by-step explanation:

Answer:

∠A = 104

Step-by-step explanation:

Triangles are equal to 180° so if one angle is 38° and the other angel is equal to 38°, then the third angle must make each of those angles add up to 180.

If you add 38 + 38 and subtract the sum from 180 you will get the measurement of angle A

(38 + 38) - 180 = 104

Answer:

Y=1/2x+2

Step-by-step explanation:

The slope is always rise/run and the Y intercept is 2.

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9

Answer:

[tex]\triangle KLM \sim \triangle GFH[/tex]

Step-by-step explanation:

In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].

Answer:

5.) 13,841,287,201 x 2,401. 6.) 64⁴.

Step-by-step explanation:

PEMDAS requires parenthesis first, then exponents, then multiplication/division, and then addition/subtraction. For 5, lets find 7¹². According to my calculations, that is 13,841,287,201. Now for 7⁴. According to my calculations, that is 2,401. Now, we have 13,841,287,201 x 2,401. In math, an expression is a problem. If I solve it, it wouldn't be an expression, so I'll just leave it at that. For 6, we do the parenthesis first. 8² is 64. 64 to the fourth power is 16,777,216. If I solved it, it wouldn't be an expression, so we have to leave it at 64⁴. If you are wondering, 64⁴ is equal to 16,777,216. I hope this helps!

Answer:

The equation y = -0.24137931034483x – 8.6896551724138, assuming you meant (-36,0).

Step-by-step explanation:

Answer: 20 2/5

Step-by-step explanation: 60/100=x/34

100x/100=2040/100

x=102/5=20 2/5

I'm pretty sure that the answer is a

Answer:

I believe it is D

Step-by-step explanation:

Answer:

a(14)=469762048

Step-by-step explanation:

geometric sequence= a(n)=a*r^(n-1)

  we have:

  a=7

  r=28/7=4

So:

  a(14)=7*4^(14-1)

         =7*4^(13)

          =469762048

hope this helps