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faust18 [17]
3 years ago
9

A line that includes the points ( 0, z ) and ( 1, 7 ) has a slope of 9. What is the value of z ? z =

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0
Slope = change in y / change in x
9 = (7-z) / (1-0)
9/1 = (7-z) / 1
9 = 7 - z
-7. -7
2 = -z so -2 = z
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Right triangle ABC and its image, triangle A'B'C' are shown in the image attached.
AlladinOne [14]

Answer:

See explanation

Step-by-step explanation:

Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).

Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.

We apply the 90 degrees clockwise rotation rule.

(x,y)\to (y,-x)

\implies A(-3,6)\to (6,3)

\implies B(0,4)\to (4,0)

\implies C(2,6)\to (6,-2)

We apply the 90 degrees clockwise rotation rule again on the resulting points:

\implies (6,3)\to A''(3,-6)

\implies (4,0)\to B''(0,-4)

\implies (6,-2)\to C''(-2,-6)

Let us now apply 90 degrees counterclockwise  rotation about the origin twice to obtain 180 degrees counterclockwise rotation.

We apply the 90 degrees counterclockwise rotation rule.

(x,y)\to (-y,x)

\implies A(-3,6)\to (-6,-3)

\implies B(0,4)\to (-4,0)

\implies C(2,6)\to (-6,2)

We apply the 90 degrees counterclockwise rotation rule again on the resulting points:

\implies (-6,-3)\to A''(3,-6)

\implies (-4,0)\to B''(0,-4)

\implies (-6,2)\to C''(-2,-6)

We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.

7 0
3 years ago
Andell is 9 years older than Arnez. arnez is 3 years younger than Marianne. the sum of their ages is 24. what is the age of each
Harman [31]

Answer:

Arnez is 4. Andell is 13. Marianne is 7.

Step-by-step explanation:

Let x represent Arnez's age. If we write out an equation, we end up with this:

24 = (9 + x) + (x + 3) + x

24 = 9 + x + x + 3 + x

24 = (x + x + x) + (9 + 3)

24 = 3x + 12

24 - 12 = 3x + 12 - 12

12 / 3 = 3x / 3

4 = x

5 0
3 years ago
Given: Sine (A) = four-fifths, StartFraction pi Over 2 EndFraction < A < Pi and Sine (B) = StartFraction negative 2 StartR
ELEN [110]

Answer:

D

Step-by-step explanation:

Did test(edge 2020)

8 0
3 years ago
Read 2 more answers
Please answer this question.i would really apreciate it
mart [117]
What is the question?
5 0
2 years ago
A man made reservoir is filled in 15 days by 4 piples,if 4 pipes are used ,how long will it take to fill the reservoir
Delicious77 [7]
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