Answer:
34
Step-by-step explanation:
Marcy got 15% of the 40 wrong
.15 *40
6
If she got 6 wrong, then she got the rest right
40-6 = 34
She got 34 right
The basic rigid motions are A) Translation, reflections and rotations
In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.
A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).
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A turn is also called A) rotation
A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.
Answer:
The equation of the parabola is given to be : y = -x² + 36
So, the airplane will cut the rainbow if the graph of the equation of airplane intersects the graph of rainbow.
Now, to find the equation of airplane :
The points through which airplane passes are : (1,0) and (0,2)
⇒ Equation : 2x + y = 2
This equation will intersect the parabola at exactly two points.
And the points are the solution of these two equation :
(-4.916,11.832) and (6.916,-11.832)
The required table is :
x -4.916 11.832
y 6.916 -11.832
Answer:
perpendicular:

parallel:

Step-by-step explanation:
original line:
y = -5x + 5
=> 5x + y = 5
m = -5/1 = -5
perpendicular:
m = 1/5
L: x - 5y = k
(7, -5) -> L
7 - 5 * (-5) = k
=> 7 + 25 = 32 = k
L: x - 5y = 32
parallel:
m = -5
L: 5x + y = k
(7, -5) -> L
35 - 5 = 30 = k
L: 5x + y = 30
Answer:
x < -15
Step-by-step explanation:
Here is the solution:
-3x-42 > 3
Add the numbers
-3x > 45
Divide both sides of the inequation by -3 and flip the inequality sign.
x < -15