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MAXImum [283]
3 years ago
6

In the graph below, line k with equation y = -k makes a 45° angle with the x- and y- axes. Complete the following: Rx Rk : (2,5)

Mathematics
1 answer:
motikmotik3 years ago
6 0
The point with a coordinate of (2,5) will be translated into y=-x line. The transformation for y=-x would be:
1. x'= -y
2. y'= -x

For x=2 and y=5 would be:
x'= -y
x'= -5

y'= -x
y'= -2

The translated coordinate would be: (-5, -2)
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What is the difference between (Picture 1) and (picture 2)? A. 0 B. 2 C. 5 D. 6
Vesnalui [34]

Answer:

The difference between the picture is 0  , option A .

Step-by-step explanation:

Given two figures as :

In figure A

The expression is 1 + 3 n  , where n lies from 0 to 4

So , let f (n) = 1 + 3 n

Or,f ( n ) = 1 + 3 ×0 = 1 + 0 = 1

    f ( 1 ) = 1 + 3 ×1 = 1+ 3 = 4

   f ( 2 ) = 1 + 3 ×2 = 1+ 6 = 7

   f ( 3 ) = 1 + 3 ×3 = 1+ 9 = 10

   f ( 4 ) = 1 + 3 ×4 = 1+ 12 = 13

so, summation of ( 1 + 3 n ) from n = 0 to 4  = 1 + 4 + 7 + 10 + 13 = 35

In figure B

The expression is 3 i - 5  , where i lies from 2 to 6

So , let g (i) = 3 i - 5

Or,g ( 2 ) = 3 ×2 - 5 = 6 - 5 = 1

    g ( 3 ) = 3 ×3 - 5 = 9 - 5 = 4

   g ( 4 ) = 3 ×4 - 5 = 12 - 5 = 7

   f ( 5 ) = 3 ×5 - 5 = 15 - 5 = 10

   f ( 6 ) = 3 ×6 - 5 = 18 - 5 = 13

so, summation of ( 3 i - 5 ) from i = 2 to 6  = 1 + 4 + 7 + 10 + 13 = 35

So, The difference between the summation of functions f(n) - g(i) is

f(n) - g(i) = 35 - 35

I.e  f(n) - g(i) = 0

Hence The difference between the picture is 0  , option A .  Answer

4 0
3 years ago
N a​ triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is 6
11111nata11111 [884]
2x+x+x+68=180                          
4x=112                                        
x=28

Angle 1: 56 degrees
Angle 2: 28 degrees
Angle 3: 96 degrees 

I hope that helps.

6 0
3 years ago
Let A = Andrea's age, Find expressions for the following
Shalnov [3]

Answer:

b = 2a - 2

Step-by-step explanation:

Turn the words into an algebraic expressions. so Andrea's (b)  is (=) two years less (-2) than (flips the expression so place this first ->) twice (times 2) her age (a) So b = 2a -2

5 0
3 years ago
Math help please, thank you!
CaHeK987 [17]
The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
 -3 - (- 5) = 2
 -1 - (- 3) = 2
  1 - (- 1) = 2
 So you can see that the common difference is the 2.

 The answer to the second question is option 3:
 y = | x + 7 |
 We can confirm it by substituting values in the equation.
 For example:
 if we do y = 0 then x = -7
 if we do x = 0 then y = 7.
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 The answer to the third question is option 4.
 The quotient of x and "and" is constant.
 k = y / x
 Rewriting:
 y = kx
 You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
3 0
2 years ago
In a basketball game 96 points were scored. The winners scored twice as many as the losers. How many points did each team score?
RSB [31]

set up an equation for this.  x will be the score of the losing team.  x+2x=96.  Then solve for x.  3x=96.  x=96/3 x=32.  So the losing team got 32 points and the winning team got 64
4 0
3 years ago
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