Marly has to get some cavities filled at the dentist. The dentist charges a fee of $35 plus $43 per cavity. If Marly ends up having a bill of $164 and c represents the number of cavities, which of the following equations could be used to find how many cavities Marly had filled?

x=6 , y = 4

Step-by-step explanation:

( x-2,6)=(4,Y+2)

this means; (x-2) &( 4) stands for" x "axis.

and( 6 )& (y+2) stands for y axis.

So, we can say( x-2)=X1 & (4)=X2 , (6)=Y1 & (y+2)=Y2

then; to Solve The Equation we use The Formula: X1=X2 for "X" And Y1=Y2 for "Y".

Solution: for "X" ; X1=X2

x-2= 4

x=4+2

x=6

For "Y" ; Y1=Y2

6 = y+2

y=6-2

y=4

finally check ; ( (x-2),6) = (4,(y+2) )

(6-2),6 = (4,(4+2) )

( (4),6) = (4,(6) )

(4,6) = (4,6)

so, X1 =X2 ; 4 = 4

Y1 = Y2 ; 6 = 6

Responder:

1) x² + y²-8x + 10y + 16 = 0

2) x² + y² + x + 18y + 33 = 0

Explicación paso a paso:

A partir de la pregunta, debemos expresar la ecuación en la forma estándar de un círculo expresado como;

x² + y² + 2gx + 2fy + c = 0 donde;

(-g, -f) es el centro.

1) Para la ecuación (x-4) ² + (y + 5) ² = 25

Expande el paréntesis;

(x-4) ² + (y + 5) ² = 25

x²-8x + 16 + y² + 10x + 25 = 25

x²-8x + 16 + y² + 10y + 25-25 = 0

Recopile términos similares;

x² + y²-8x + 10y + 16 + 0 = 0

x² + y²-8x + 10y + 16 = 0

Por lo tanto, la ecuación requerida es x² + y²-8x + 10y + 16 = 0

2) Para la expresión (x + 1) ² + (y + 9) ² = 49

x² + x + 1 + y² + 18y + 81 = 49

x² + x + 1 + y² + 18y + 81-49 = 0

Recopile términos similares;

x² + y² + x + 18y + 82-49 = 0

x² + y² + x + 18y + 33 = 0

Por tanto, la ecuación requerida es x² + y² + x + 18y + 33 = 0

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-2(5x - 5.5) + 8 = -9x + 2 - (-5)

Step 2: Solve for x

Answer:

x= -14

Step-by-step explanation:

-x+3x-x=-8-6

x= -14

-x+8+3x=x-6

the first thing we need to do is move the x's to the left and the numbers to the right

when moving a number from one side to another it's sign is changed

-x+3x-x=-6-8

x=-14

Answer: 32

Step-by-step explanation:

The expression that is equivalent to 2^2 divided by 2/2^4 would be calculated as:

= 2^2 ÷ 2/2^4

= 4 ÷ 2/16

= 4 ÷ 1/8

= 4 × 8

= 32

The expression would be equal to 32 based on the above calculation

Answer:

X = 5a+5g

Step-by-step explanation:

Adding g on both sides gives:

X/5 = a+g

Now dividing 5 on both sides gives us the value of x which is:

X = 5(a+g)

Hence X=5(a+g) or X=5a+5g( multiplying by 5 gives us 5a and 5g)

Answer:

The answer is 2.375.

Step-by-step explanation:

17 / 8 = 2.125.

2 / 8 = 0.25.

2.125 + 0.25 = 2.375.

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. It is a decay function as number of population is decreasing over time

b. f(n) = 33500*((100 - 2.5)/100)^n = 33500*(0.975)^n

c. In year 2025, n = (2025 - 1995)/10 = 3

f(3) = 33500*(0.975)^3 = 31100 rounded up

Answer:

Half is 2

Step-by-step explanation:

Answer:

A polygon is a very big catagory. For example, a triangle has three sides, while a quadrilateral has four sides.

A triangle would be, A=h*w/2 (h being hight, and w being width)

A quadrilateral would be, A=h*w

Answer:

3Ax-6x = 15

3x(A-2)=15

If A were 2, the left side of the equation would be 0 and it wouldn't equal 15 no matter what the value of x is. So A is 2

Answer:

The stake is 80√3 ft or 138.56ft away

Step-by-step explanation:

let the distance from the stake to the foot of the tower=x

tan(60°)=x/80

x=80tan(60°)

x=80√3 ft

The distance of the stake from the foot of the tower is 46.189 feet.

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle of depression is 60°

60° is the angle from the stake to the top of the tower due to alternative angles,

height of tower = 80 feet

let the distance of the stake from tower be x

using tangent to find the distance,

tanФ = perpendicular/base

perpendicular = 80 feet

base = x

Ф = 60°

tan60 = √3

tan60 = 80/x

x = 80/1.732

x =  4.189 feet

hence stake is 46.189 feet from the tower.

Learn more about trigonometric functions;

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Answer:

2

Step-by-step explanation:

5 bottles = 10 dollars

divide by 5 to get 1 bottle

now divide 10 by 5 that will be 2

2$ for 1 bottle

Answer:

The distance between the two stars in miles is 5.292 * 10^10 miles

Step-by-step explanation:

Here, we want to make a conversion from light year to miles

To make this conversion, we simply are going to multiply the light year by the miles

Mathematically, we have this as;

9 * 10^-3 * 5.88 * 10^12

= 52.92 * 10^9

= 5.292 * 10^10 miles

Answer:

the fist one

Step-by-step explanation:

Hope it helps

Answer:

C. 27

Step-by-step explanation:

((4x + 5) + 10)*10 = (21 + 9)*9 (two secants intersecting)

(4x + 5 + 10)*10 = (30)*9

(4x + 15)*10 = 270

40x + 150 = 270

40x = 270 - 150 (subtraction property of equality)

40x = 120

Divide both sides by 40

40x/40 = 120/40

x = 3

✔️QS = (4x + 5) + 10

Plug in the value of x

QS = 4(3) + 5 + 10

QS = 12 + 5 + 10

QS = 27

Answer:

n +17 = 26

Step-by-step explanation:

Let the number be 'n'

17 more than 'n' = n + 17

n + 17 = 26

Answer:

n +17 = 26

Step-by-step explanation:

I got a 100 on the test ed2021

Answer:

Step-by-step explanation:

cot(theta) = 1 / tan(theta)

cot(theta) = 1 / -5

cot(theta) = - 0.2

Answer:

The number of Potatoes remaining is = 150

Step-by-step explanation:

From the information given above,

On first day of the week (Sunday),

Total potato = 800

The number used include:

Monday = 380

Tuesday = 270

Total potato used = Monday + Tuesday

= 380 + 270 = 650

Remaining Potato = 800 - 650 = 150

Answer:

x = 24

y = 10

z = 17

Explanation:

It's long to explain, so heres a picture of how solved each. hope this helps!! :)

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

Finding the slope between (2, 17), (4, 7)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:17\right),\:\left(x_2,\:y_2\right)=\left(4,\:7\right)[/tex]

[tex]m=\frac{7-17}{4-2}[/tex]

[tex]m=-5[/tex]

We know the Point-Slope Form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here:

substituting the values m = -5 and the point (2, 17) in the Point-Slope Form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 17 = -5 (x-2)[/tex]

Thus, the answer Point-Slope Form is

[tex]y - 17 = -5 (x-2)[/tex]

It can be further simplified to write into the Slope-Intercept Form

[tex]y - 17 = -5 (x-2)[/tex]

y-17 = -5x+10

y = -5x+10+17

y = -5x+27

Thus, the answer in the Slope-Intercept Form (y=mx+b)

y = -5x+27         ∵Slope-Intercept Form → y=mx+b

Answer:

Step-by-step explanation:

2x - 5y = 6

5y = 2x - 6

y = 2/5x - 6/5

y-intercept is -6/5

x-intercept is when you say that y = 0

and so 6/5 = 2/5x

x = 6/2 = 3

Answer:

99,000

Step-by-step explanation:

since 3 times 10 to the power of 3 is 1000 and 10 to the power of 5 is 100000 the answer is 99,000

Answer: 97000 more

Step-by-step explanation:

10*10*10*10*10=100000  10⁵

10*10*10=1000*3=3000    10³

So 100000-3000= 97000 more

Hope this helped!

Answer:

Baritone/Euphonium

Trumpet

Tuba

Trombone

Good luck!!

Answer:

So if I multiply those two expressions together, I will get eleven copies

Answer: a definition of an equation can be defined as a mathematical statement consisting of an equal symbol between two expressions that have the same value.

Step-by-step explanation:

Answer:

x=1,y=3

correct answer is (1,3)

Step-by-step explanation:

We can quickly eliminate y by subtracting one equation from the other

(-2x+y=1)-(-4x+y=-1)

2x=2

x=1

plug x=1 into equation 1

-2(1)+y=1

y=1+2=3