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2 years ago

13

Which point is a reflection of (12, −8) across the y-axis on a coordinate plane? A (8, 12) B (−8, 12) C (−12, −8) D (12, 8)

1 answer:

ladessa [460]2 years ago

3 0

Answer:

option A

Step-by-step explanation:

thats the answer!!!

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

3 years ago

I need help with number 16 i need the answer by 8:45 please. Thank you

Nadusha1986 [10]

Type o ( ii) = 6 . 25

Type A ( l^A l ^A or l ^A i ) = 18 . 75

Type B ( l ^b l^b or l ^ bi ) = 18.75

Type AB ( l ^ A l^ B) = 56.25

3 0

2 years ago

HELP PLEASE!! ASAP <br> If triangles ABC and DEF are similar, what is y? Show your work.

Ivenika [448]

Answer:

y = 18

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are in proportion, that is

$\frac{BC}{EF}$ = $\frac{AC}{DF}$ , substitute values

$\frac{y}{12}$ = $\frac{21}{14}$ ( cross- multiply )

14y = 252 ( divide both sides by 14 )

y = 18

3 0

3 years ago

Read 2 more answers

Which operation will solve the following word problem? Sydney needs to double a cookie recipe,the recipe calls for 2/12 cups of

Liula [17]

Multiplication because you are going to multiply the recipe by 2 to double it.

7 0

2 years ago

Read 2 more answers

Find the equilibrium point for the pair of supply and demand functions. Demand: q=18/x Supply: q=x/2

storchak [24]

Answer:

The equilibrium point is at x = 6

Step-by-step explanation:

Given

$Demand (q) = \frac{18}{x}$

$Supply (q) = \frac{x}{2}$

Required

Determine the equilibrium point

The equilibrium point is determined by

$Demand = Supply$

Substitute values for Demand and Supply

$\frac{18}{x} = \frac{x}{2}$

Cross Multiply

$x * x = 18 * 2$

$x^2 = 36$

Take positive square root of both sides

$x = 6$

Hence;

<em>The equilibrium point is at x = 6</em>

5 0

3 years ago