which coordinate pair represents the reflection of poin A across the y-axis

Answer:

1. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}[/tex]

2. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{ \frac{6}{x + 1} = \frac{3}{x} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{6x = 3(x + 1)}}[/tex]

Distribute 3 through the parentheses

[tex] \dashrightarrow{ \sf{6x = 3x + 3}}[/tex]

Move 3x to left hand side and change it's sign

[tex] \dashrightarrow{ \sf{6x - 3x = 3}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{3x = 3}}[/tex]

Divide both sides by 3

[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 1}}[/tex]

The value of x is 1

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2. [tex] \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} [/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}[/tex]

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

[tex] \dashrightarrow{ \sf{2n - 2 = 12n + 48}}[/tex]

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{2n - 12n = 48 + 2}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 10n = 48 + 2}}[/tex]

Add the numbers : 48 and 2

[tex] \dashrightarrow{ \sf{ - 10n = 50}}[/tex]

Divide both sides by -10

[tex] \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{n = - 5}}[/tex]

The value of n is -5 .

Hope I helped!

Best regards! :D

Answer: x=2

hope this helps!

Answer:

he last ratio is written incorrectly.

Mandy reversed the input and output in the numerator and denominator.

The correct ratio is 50/10.

The relationship is proportional.

Answer:

1- r=.5

2- x=.5

Step-by-step explanation:

sorry my handwriting is bad

Answer:

4.0503

Step-by-step explanation:

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

Answer:

the shaded area= s²-2πr²

Step-by-step explanation:

you have 2 circles

Area of circle=πr²

2 circles=πr²+πr²=2πr²

the area of square=s*s=s²

the shaded area= s²-2πr²

Answer:

Step-by-step explanation:

15 boys  + 12 girls = 27 students

15:27 = 5:9

First, add to find total number of students.

15 + 12 = 27

Second, create the new ratio.

15 to 27

Best of Luck!

Answer:

$61.434

Step-by-step explanation:

Teniendo en cuenta que el enunciado señala que la pantalla de tv cuesta el doble de la bicicleta, debes multiplicar el valor de la bicicleta por 2 para encontrar su precio:

Precio pantalla de tv=$8.562*2=$17.124

Además, el enunciado señala que el refrigerador cuesta $1.500 más que el doble de la tv, por lo cual para encontrar su precio debes multiplicar el valor de la tv por 2 y sumarle $1500:

Precio del refrigerador=($17.124*2)+$1.500

Precio del refrigerador=$34.248+$1.500

Precio del refrigerador=$35.748

Finalmente, el gasto total es igual a la suma de los precios de la bicicleta, la tv y el refrigerador:

$8.562+$17.124+$35.748=$61.434

De acuerdo a esto, la respuesta es que Sebastian gastó $61.434.

Answer:

Below.

Step-by-step explanation:

If the angle is x degrees then its complement is 90-x degrees.

So 90-x = 4x - 10

90 + 10 = 4x + x

5x = 100

x = 20.

and the complement is 90-20 = 70.

Answer:

Quadrant 3 and Quadrant 4

Step-by-step explanation:

If the point is negative, then it will definetely be on the left side of the graph. The two quadrants on the left side are 3 and 4. Hope this helps!

Answer: a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Step-by-step explanation:

Answer:

The cube has nine symmetry planes. Three planes lie parallel to the side squares and go through the centre (picture). Six planes go through opposite edges and two body diagonals. They divide the cube into prisms

Answer:

y=(7/5)x + 34/5

Step-by-step explanation:

All straight lines generally follow the equation format of: y=mx+c

Where m is the slope/gradient of the line, and c is a constant, the y-intercept, the y value when x=0.

To start, we need to find the slope, which we do by dividing the rise of the line by the run, that is the difference between the y value of two points divided by the different between the x value of two points.

We can use the two given points on the graph: (-7,-3) and (-2,4).

The rise is 7 because 4-(-3)=7, and the run is 5 because -2-(-7)=5.

Therefore the slope is 7/5.

so our equation so far is:

y=(7/5)x + c, (It is positive because the line is 'going upwards'.)

Now to find the c, we can just substitute in a pair of coordinates, we can use (-2,4):

4= (7/5)(-2) + c

4 = -14/5 + c

4 + 14/5 = c

c= 34/5

Therefore our full equation is:

y=(7/5)x + 34/5

Hope this helped!

Answer:

7/25

Step-by-step explanation:

0.56 move two times to get rid of the point that will give you 56/100 divide by an digit that can go equally in both of them to the lowest form start from 2

Answer:

136 + 129= 265

Step-by-step explanation:

when you're finding the difference and one number is positive and the other is a negative number you will add the negative instead of add them together so you would 129 to 136 which would equal 265. this rule applies to the opposite too. if both numbers are positive, then you would subtract them.

Answer:

40. neither

41. Perpendicular

42. Parallel

43.  y= -4x+1

44. 2x-y=5

45. y=-3/2x-2

46.  -1/4x+y=5

Step-by-step explanation:

Answer:

um

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

*Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ..., 30

* Multiples of 6: 6, 12, 18, 24, 30

* Multiples of 15: 15, 30

Answer:

house 3 floors

Step-by-step explanation:

i'm totally guessing i'm most likely wrong

Answer:

Rotation of 90° (x, y) → ( ‐ y,  x )

Rotation of 180° (x, y) → ( ‐ x,  ‐ y )

Rotation of 270° (x, y) → ( y,  ‐ x )

idk 360...

Answer:

+ 7 or - 7

Step-by-step explanation:

x^2 = 49

x = (49)^1/2     (1/2 means nothing but square root)

x = + or - 7

I said this answer because you square 7 and -7 and still get 49

Answer:

67,900

Step-by-step explanation:

Move the decimal place 4 spaces to the right.

Answer:

it is for sure 67,900 :)

Step-by-step explanation:

Answer:

98.8 km/h

Step-by-step explanation:

Given that:

Distance traveled towards east, [tex]D_1[/tex] = 567.6 km

Time taken towards east, [tex]t_1[/tex] = 2.3 hours

After turning back:

Distance traveled towards west, [tex]D_2[/tex] = 221.8 km

Time taken towards west, [tex]t_2[/tex] = 1.2 hours

To find:

Average Velocity during the trip in km/h = ?

Solution:

First of all, let us consider the image attached in the answer area:

Let the black panther runs to point I from G and the turns back to point H.

GI = 567.6 km

IH = 221.8 km

Formula for Average Velocity is given as:[tex]\text{Average Velocity= }\dfrac{\text{Displacement}}{\text{Total Time Taken}}[/tex]

Here, Displacement will be GI - IH = [tex]D_1-D_2[/tex] =567.6 - 221.8 = 345.8 km

Total time taken = t_1+t_2 = 2.3 + 1.2 = 3.5 hours

[tex]\text{Average Velocity= }\dfrac{345.8}{3.5} = \bold{98.8\ km/h }[/tex]

The answer is:

Average Velocity = 98.8 km/h

3x - 2 ≤ -20

Add 2 to both sides:

3x ≤ -18

Divide both sides by 3:

x ≤ -6

Answer:5

Step-by-step explanation:

w(n)=4-1

=5

Answer:

10

Step-by-step explanation:

Begin with x3 + y3 = 4 . Differentiate both sides of the equation, getting

D ( x3 + y3 ) = D ( 4 ) ,

D ( x3 ) + D ( y3 ) = D ( 4 ) ,

(Remember to use the chain rule on D ( y3 ) .)

3x2 + 3y2 y' = 0 ,

so that (Now solve for y' .)

3y2 y' = - 3x2 ,

.

Answer:

y=-7

Step-by-step explanation:

when you multiply a negative by a negative, it turns into a positive. -4 x -7 will equal 28, so y=-7, hope this helps