Compare the graph of a linear inequality in two variables with the graph of a linear equation in two variables

[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex] \rm \longmapsto x = a \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto y = b \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto z = c\cos \alpha[/tex]

Therefore:

[tex] \rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto \dfrac{z}{c} = \cos \alpha[/tex]

Now:

[tex] \rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } [/tex]

[tex] \rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha [/tex]

[tex] \rm = 1[/tex]

Therefore:

[tex] \rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1[/tex]

Answer:

25

Step-by-step explanation:

ez thanks for the fr3e points

Have a good day bro cya)

Answer:

125000

Step-by-step explanation:

Answer:

you may

2x+15+4x+21=90 simplified is 6x+36=90

m<a=33º

m<b=90º

m<c=57º

Step-by-step explanation:

6x+36=90

6x=54

x=9

2(9)+15=33

4(9)+21=57

Answer:

2.8in^2

Step-by-step explanation:

3.2 * 0.875 = 2.8

Hello there!

To find the area of this rectangle, we must multiply the length times the width:

A=[tex]3\frac{1}{5} *\frac{7}{8}[/tex]

Let's convert the mixed number into an improper fraction:

[tex]\frac{16}{5} *\frac{7}{8}[/tex]

Do you see what I see?

16 and 8 can be reduced. Divide by 8:

[tex]\frac{2}{5} *\frac{7}{1}[/tex]

Now multiply:

[tex]\frac{14}{5} \\[/tex]

Hope it helps you!

#HaveAnAmazingDay

~Just a joyful teen

[tex]GraceRosalia :)\\****************************************\\Comment:[/tex]

If my answer was helpful, please mark Brainliest! :)

Answer:

6 hours

Step-by-step explanation:

let the no. of hours  she rent the bike be x

then,

13 + 7*x = 55

13 +  7x = 55

7x = 55 -13

7x = 42

x = 6

Answer:

7x=y

Step-by-step explanation:

7x=y

7 times x(#of weeks)= y (paper recycled)

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Franklin's office just started a new recycling program this year. They aim to recycle [tex]7[/tex] kilograms of paper each week.

So, it would be

[tex]7x=y[/tex]

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

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Answer:

y = 1/3x - 19/3

Step-by-step explanation:

3y = x -3

y = 1/3x -3

Slope = 1/3

Point= (1,-6)

y-intercept = -6 - (1/3)(1) = -6 - 1/3 = -19/3

Answer:

4 students to deliver magazines and 6 students to deliver newspaper

Step-by-step explanation:

The minimum number of students needed is 6.

Given that, in one day students can deliver 850 newspapers and 1440 magazines. Each student can deliver either 25 newspapers or 60 magazines in 1 hour.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, in 1 hour a student can deliver 25 newspapers, so in 6 hours a student can deliver 25 × 6 =150

So, number of students = 850/150 = 5.66

≈ 6

Now, 60 × 6 =360

So, number of students = 1440/360 = 4

Therefore, the minimum number of students needed is 6.

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Answer:

steps below

Step-by-step explanation:

From the graph: parabola pass (0,4) (3,4) (1,2)

equation: y = ax² + bx + c

(0,4): c = 4

(3,4): 9a + 3b + 4 = 4       9a+3b = 0       3a + b = 0   ... (1)

(1,2):  a + b + 4 = 2            a+b = -2   ... (2)

(1)-(2): 2a = 2        a = 1

(2):      b = -3

parabola equation: f(x) = x² - 3x +4

(a)  f(3) = 3² - 3*3 + 4 = 4

(b) normal line: parallel to tangent line y = 3x -5 at (3,4)

    slope of line N: -1/3   pass (3,4)

    equation of N: (y-4)/(x-3) = -1/3         y-4 = -1/3 x + 1

     line N: 1/3 x + y - 5 = 0

(c) picture attached

3/4

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

Answer: 18 days

Step-by-step explanation: you multiply 90 by 0.2 and you get 18

Answer:

There are 720 possible results.

Step-by-step explanation:

Answer:

2 birds 1 tree

Step-by-step explanation:

I think only not sure

Answer:

its 0

Step-by-step explanation:

yea i made that up I NEED POINTS ALR

Answer:

F=86°

G=75°

H=19°.........

[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]

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

Answer:

this problem is  Non-proportional

Step-by-step explanation:

hope this helps

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

For how to graph this, best to look at the guidelines for graphing a break-even formula.

What we do want to know is where these two values equal each other.

So, set:  400 + 0.20X = 800 + 0.10X

Subtract 400 from both sides; also subtract 0.10X from both sides, to get:

0.10X = 400

To solve for "X", divide out both sides by:  0.10, to get:

X = 4,000

What can can glean from this, is that:

(1)  The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;

(2)  The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.

Answer:

y=mx+b

Step-by-step explanation:

follow this equation

Step-by-step explanation:

y=120+55x

here,X = -24/11

Y=120

don't have time or else I would have shown the details

The independent variable in this situation is x and it represents the number of hours taken for installation

Two or more expressions with an Equal sign is called as Equation.

Given,

Mr. Chen hires an electrician to install the light fixtures for an addition to his house.

The function y=120+55x can be used to model the total cost of the job, in dollars

The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.

initial fee=120

Here x is the independent variable which represents the number of hours taken for installation

Hence, the independent variable in this situation is x and it represents the number of hours taken for installation

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Answer:

13

Step-by-step explanation:

Answer:

X=18

Step-by-step explanation:

To isolate X you need to get rid of the -15 to do that you can add 15 on both sides of the equation resulting in 3x=54 now you need to divide both sides by 3 to get x on its own which is X=18.

Step-by-step explanation:

they are not like variables and terms so u cant add them nor subtract term soit stays as it is

Answer:

11.5652173913

Step-by-step explanation:

You might have to round

Answer:

ITS A (i took the unit test)

Step-by-step explanation: