Graph y=2x+3 and it's inverse

Answers

Answer 1
Answer: The red line is y=2x+3
The blue line is its inverse : y=(x-3)/2

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A school band sold 30 raffle tickets, each labeled with a number from 1 to 30. One winning ticket will be drawn.What is the probability that the number of the winning ticket will be a multiple of 4 or the number 19? Express your answer in simplest form.

Answers

4/15 hope i helped!!!!!!!!

Find the sum. 6/9 • 1/3=?

Answers

Answer:

(6)/(27)

Answer:

its 8.97 I think

Step-by-step explanation:

6.9×8.97

If BC is parallel to DE, then all of the following are equivelient to each other acceptA) AD/AB
B) DE/BC
C) CE/AC
D) AE/AC

Answers

Answer:

The answer is C, I just got it right on a quiz. Good luck!

Step-by-step explanation:

Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Whyor why not?

Answers

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = (y2 - y1)/(x2 - x1)

Substitution

slope = (4 - 2)/(-1 - 4)

Simplification and result

slope = (-2)/(5)

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

X-y+z=-4

3x+2y-z=5

-2x+3y-z=15

How do I solve this?

Answers

1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\n\n2)\ \ \ 3x+2y-z=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y+4+x-y=5 \n.\ \ \ \ \Rightarrow\ \ 4x+y=1\n\n3)\ \ \ -2x+3y-z=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y-(-4-x+y)=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y+4+x-y=15\n.\ \ \ \ \Rightarrow\ \ -x+2y=11\n--------------------\n

z=-4-x+y\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\n \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \n\n\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \n-------\ny+8y=1+44\n9y=45\ /:9\ny=5\n\n-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\n\nz=-4-x+y=-4-(-1)+5=-4+1+5=2\n\nAns.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2

which one of following statement expresses a true proportion 3:4=9:12 b. 2:1=1:2 c. 7:9=8:9 d. 54:9=6:3

Answers

a is the right one:
a. 3:4=9:12
    3×3:4×3=9:12