The point (–3, 5) has been reflected so that the image is at (5, –3). What is the line of reflection?

Answers

Answer 1
Answer: Hello,
the line is the  perpendicular bisector of A(-3,5) and B(5,-3)

Let M the middle of AB
M=((-3+5)/2,(5+(-3))/2)=(1,1)
Slope of AB= (-3-5)/(5+3)=-8/8=-1
Slope of the perpendicular : -1*?=-1=>?=1
Equation :y-1=1*(x-1)==>y=x




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Write the recursive function for this sequence.
8, 12, 18, 27

Answers

8, 12, 18, 27

12 ÷ 8 = 1¹/₂
18 ÷ 12 = 1¹/₂
27 ÷ 18 = 1¹/₂

a_(n) = r * a_(n - 1)
a_(n)} = 1(1)/(2)a_(n - 1)

What is the simplified form of the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?n = −1
n = 2
n = fraction 5 over 3
n = fraction 5 over 2

Answers

n = fraction 5 over 3

Explanation;
(3)/(5)n- (4)/(5)= (1)/(5) n
Eliminate the demominator by multiplying each term by 5.
3n-4=1
3n=5
n=
(5)/(3)

Answer:

n = 2

Step-by-step explanation:

3/5n - 4/5 = 1/5n

3/5(2) - 4/5 = 1/5(2)

6/5 - 4/5 = 2/5

^^^^^^^^^^^^^^^^

Correct? Yes.

Which one of the following decimals is the largest? .345, .33, .332, .35

Answers

They all start with .3
so we need to look at the next decimal place that has a bigger number
These are all put in order from least 2 greatest. 
.33
.332
.345
.35
SOOOO this means that our greatest decimal is .35

Its going to be .35 bc if you round .345 & .332 its really like 34, 33

Solve 2cos^2x + cosx − 1 = 0 for x over the interval [0, 2 π ).a.π and π/3
b.π, π/3, and 5π/3
c.1 and 2π/3
d.1, 2π/3, and 4π/3
e.1, π/3, and 5π/3

Answers

the answer is (b) all this value of x satisfy the equation

Answer:

Option  B

Step-by-step explanation:

\pi ,(\pi )/(3), and (5\pi )/(3)

what is the difference between dependent variable independent variable vs response variable explanatory variable?

Answers

Answer:

Step-by-step explanation:

we are to distinguish between

dependent variable independent variable

vs

response variable explanatory variable

An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.  

An explanatory variable is a type of independent variable but not fully independent but depends on some factors.

Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.

Use the angle difference identity to sovle 5cos2(theta) =1 for 0 degrees is less than or equal to theta is less than 360 degrees

Answers

use cos (2∅)= 2cos² ∅ -1

5(2cos²∅ -1 )=1
10cos²∅ -5 = 1
10cos²∅ = 6
cos²∅ = 0.6
cos∅ = ± √(0.6)
∅=  39.2,180 - 39.2, 180 + 39.2 , 360 - 39.2
∅ = 39.2 , 140.8 , 219.2 , 320.8