The function y=2.5x+3 can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles
A. $3
B. $1
C. $2.50
D. $5.50

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]

[tex] \large \sf \: x+28=-8 [/tex]

[tex] \large \sf \: x=-8-28 [/tex]

[tex] \large \boxed{ \bf \: x=-36 }[/tex]

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

Answer:

25

Step-by-step explanation:

The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

Answer:

39000

1 gram=1000milligrams

hence,

39 grams=39×1000milligrams

=39000milligrams

Answer:

Step-by-step explanation:

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

The dad is 36 and the son is 12

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

Answer:

The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.

Answer:

A is the answer

rrrrrrrr

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

Answer:

Below.

Step-by-step explanation:

I'll  write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs  = 1 + s - c + c + cs - c^2

s  + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

Answer:

I guess it would help you

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

To find the distance between those two points you would need to

do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.

Answer:

14 = AB

Step-by-step explanation:

When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers

or you can set up the expression---

| -6-8 |

which equals

| -14 |

or

14

because 14 is the same as | -14 |

Answer:

418

Step-by-step explanation:

please make me brainlist

Answer:

assuming that this is just an algebra problem and not some graphing

problem that you are trying to fin the slope vale m in y-mx+b

-m/3 = -4

-m = -4*3

-m = -12

m=12

Step-by-step explanation: