Answer:
y = 3/2x - 5
Step-by-step explanation:
To find the equation of the line
Step 1: find slope
( 2 , -2) ( 4 , 1)
x_1 = 2
y_1 = -2
x_2 = 4
y_2 = 1
Insert the values into
m = (y_2 - y_1) / (x_2 - x_1)
m = ( 1 - (-2) / (4 - 2)
= ( 1 + 2) / ( 4 -2 )
= 3 / 2
m = 3/2
Step 2: substitute m into the equation
y = mx + c
y = 3/2x + c
Step 3: substitute any of the two points into the equation
Let's pick (4 , 1)
x = 4
y = 1
y = 3/2x + c
1 = 3/2(4) + c
1 = 3*4/2 + c
1 = 12/2 + c
1 = 6 + c
1 - 6 = c
c = 1 - 6
c = -5
Step 4 : substitute c into the equation
y = 3/2x + c
y = 3/2x - 5
The equation of the line is
y = 3/2x - 5
D) these two figures are similar they don't look similar at first because the X'Z'Y' is more upwards. But they are congruent meaning they are similar or exactly the same almost. This basically tells me that I need to use translation.
E) I can use reflection to get XYZ into X'Y'Z' by reflecting it across the x-axis. I could also use translation and move it up 6 and then move it to the right.
C) The last one I could use is rotation and move it around around 45* or something close to the the other one.
Answer: 2z + 6
Step-by-step explanation: Distribute the 2 to z and 3.
Set the function to equal zero:

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

Plug the values into the equation:




Solve for both plus and minus:



The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is
'<span>
x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
Answer:
I am not sure how your teacher wanted you to estimate the answer but I solved it for you. Hopefully this helps.
Step-by-step explanation:
7x-y=7
x+2y=6
14x-2y=14
x+2y=6
add both equations
15x=20
x=20/15
x=4/3
x+2y=6
4/3+2y=6
2y=6-4/3
2y=18/3 -4/3
2y=14/3
divide both sides by 2
y= 14/3 divided by 2
y=14/3(1/2)
y=14/6
2y=