OK. Relax, settle down, don't worry.
We're in luck here. The shape hasn't been rotated, or swelled up
or shrunk. It's still exactly the same size and shape, and in the same
position. It's only been moved, from here to there. All you really
have to do is look at one point, and figure out how that point moved,
and all the other points moved exactly the same ... same distance,
in the same direction.
When I looked at this, I worked with point-D. But now I think
point-B may be a little easier to work with.
-- What's the 'x'-value (left/right) of point-B before it moves ?
It's right on the y-axis, so its x-value is zero.
-- What's the 'x' value of point-B', after the move ?
Look at the light light line that B' is on, follow it down,
and you see that the x-value of point-B' is 6 .
-- The x-value of point-B moved from x=0 to x=6.
If you look at just the x-value of any other point on the shape,
you'll see that every point moved 6 units to the right.
Every 'x'-value became 6 units bigger after the move.
x --> x+6
===================
-- What's the 'y'-value (up/down) of point-B before it moves ?
It's in the middle between the 2 and the 4, so its y-value is 3.
-- What's the 'y' value of point-B', after the move ?
Look at the light light line that B' is sitting on, follow it left,
and you see that the y-value of point-B' is 8 .
-- The y-value of point-B moved from y=3 to y=8.
If you look at just the y-value of any other point on the shape,
you'll see that every point moved 5 units UP.
Every 'y'-value became 5 units bigger after the move.
y --> y+5
Look for a choice that says what we found.
The second choice says it.
Answer:
I think the answer is D!
Step-by-step explanation:
Whatever you intended to type before the 'x' . . . " -1.2 " or " - 1/2 " . . .
that's the slope of the line represented by the equation.
A line perpendicular to it has a slope with the negative reciprocal of this one.
So the perpendicular line would be
y = 0.8333 x (negative reciprocal of -1.2) + any number
or
y = 2 x (negative reciprocal of - 1/2) + any number
Answer:
35 in²
Step-by-step explanation:
The irregular shaped can be divided into two squares and one rectangle, so the area will be the additions of the area of the squares and the rectangle
area of square A = L *B = 3 *3 = 9in²
area of square B = L * B = 4*4 = 16in²
area of rectangle C = L * B = 5 *2 = 10in²
th area of the irregular shape = 9 in² + 16 in² + 10 in² = 35 in²
Use the definition of tangent
or inv tangent (arctan or atan)
tan(theta) = opposite side/ adjacent side
the vertical rise would be the opposite side, the horozontal distance would be the adjacent side
let rise = y
let distance= x
x=2y
so tan(theta) = y/2y
tan(theta) = 1/2
theta = atan(1/2)
grab a handy dandy calculator, unless you know this conversion off the top of your head
