What is the distance between the two points (4,7) and (4, -2)?
a. 5
12.04
b. 9
d. 12.53
C.

Answer:

[tex]\frac{t^2-16}{t^2-8t+16}[/tex]

We can factorise the numerator which the difference of squares formula:

[tex]x^2-y^2=(x+y)(x-y)[/tex]

---------------------------------

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]

Next, factorise the denominator:

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]

[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]

Cancel out the common factor of (t-4):

[tex]\frac{t+4}{t-4}[/tex]

The regular price of a ticket to the game will be $24.25  based on the given data.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

Total paid = $296

Number of tickets = 16

Cost per tickets = 296/16 = $18.5

This cost excludes the $5.75 saved due to the group.

Original price = $18.5 + $5.75 = $24.25

Hence "The regular price of a ticket to the game will be $24.25  based on the given data".

For more about the number system,

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Answer:

Step-by-step explanation:

Hola

Answer:

Step-by-step explanation:

This will open to the left and the vertex will be at (0, -4).

Equation us (y + 4)^2 = -4*-11x

44x = (y + 4)^2

Answer:

3 trips

Step-by-step explanation:

I think it is three trips because 3 out of the 5 train tracks from city x were found in city y, therefore only 3 train tracks will be found in city z so there are 3 trips

Check the picture below.

[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]

[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]

Answer:

a is 20 cm long

Step-by-step explanation:

I used a triangle solver to get that length, sorry I can't actually prove it step by step

hope this helps!

Answer:

8% decrease

Step-by-step explanation:

50 x 2 = 100

46 x 2 = 92

100 - 92 = 8

Step-by-step explanation:

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)

Hi there!!

The ratio of red jelly beans to yellow is 7:3.

There are 40 jelly beans.

7+3 is 10.

40/10 is 4.

7*4 is 28.

Therefore, 28 jelly beans are red.

Answer:

y=7x+2

Step-by-step explanation:

Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.

Hope it helped!

The equation of the line is y = 7x + 2.

The equation of a line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

m = 7 and c = 2

The equation of a line is,

y = mx + c

y = 7x + 2

Therefore, the equation of the line is y = 7x + 2.

More about the equation of line link is given below.

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Answer:

4a^4-4b^4-5a^2b^2

Step-by-step explanation:

find common variables and subtract/add

a^4+3a^4=4a^4

-2b^4-2b^4=-4b^4

0-5a^2b^2=-5a^2b^2

apply

4a^4-4b^4-5a^2b^2

Answer:

4 2/5

Step-by-step explanation:

     11 7/10

-      7 3/10

----------------

      4 4/10

4 4/10 = 4 2/5

Answer:

i: 14

ii: 140

iii: 770

(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.

Step-by-step explanation:

i: 650/40=14

ii: 14x10=140

iii: 14x55=770

Answer:

I think it's 3n+7

                 -------

                 3n+8

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

Answer:

R=12.5

Step-by-step explanation:

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

Step-by-step explanation:

y=x+1

y=5x+13

=13x/1

=5x/x

Answer:

18 miles

Step-by-step explanation:

9 miles : 45 minutes

? miles : 90 minutes

45 x 2 = 90 minutes

9 x 2 = 18 miles

Answer:

tan

(

x

)

,  

x

=

−

π

3

x

+

2

y

+

z

x

+

y

+

z

,  

x

=

2

,  

y

=

3

,  

z

=

1

csc

(

x

)

,  

x

=

π

Answer:

6

Step-by-step explanation:

X+8 first substitute x

-2+8 solve

=6

Answer:

13.194

Step-by-step explanation:

  13.2

-   0.006

-----------------

Just add zeros on the part where there are no numbers

  13.200

-    0.006

------------------

    13.194

Answer:

67.5 or 67 1/2

Step-by-step explanation:

15   ÷              2

         ___________            

                   9

The numbers in 15 divided by 2/9 are labeled below:

15 = whole number

2 = numerator

9 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

15 x 9 2  =     135

                       ____

                          2

Thus, the answer to 15 divided by 2/9 in fraction form is:

 135

_____

   2

To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

135 / 2 = 67.5

The answer is rounded to the nearest two decimal points if necessary.

135/2 is an improper fraction and should be written as 67.5 or 67 1/2.

Hope this helps, have a nice day/night! :D

Answer:

67.5

Step-by-step explanation:

15 = 135/9

135/9 x 9/2 = 15 x 4.5 = 67.5

            9/2 = 4.5

Brainliest?

Answer:

$0.97

Step-by-step explanation:

7328*100/108^(4*29)

a bunch of math later, with rounding...

0.97

*note-may be wrong

Answer:

909.1

The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1

Answer:

[tex]p>-2[/tex]

Step-by-step explanation:

[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]

Answer:p < -2

Step-by-step explanation:

Answer:

x = -4.

y = 0.

Step-by-step explanation:

Each element is multiplied by -2, so

-2 * x = 8

x = -4.

-2*y = 0

y = 0.