Answer:
bottom box
Step-by-step explanation:
Answer:
dm
Step-by-step explanation:
A square's diagonal cuts across the square, making two right triangles where the diagonal is the hypotenuse.
We have a right triangle with a hypotenuse of 29, and two legs that are the same length (because they are sides of a square)
So, we can use pythagoreans theorem to find the lengths of the legs, or sides of the square.




Now that we have a side length of
, we just have to multiply that by 4, since a square has 4 sides. This leaves us with a final perimeter of:

Answer:
The range is [10, ∞).
Step-by-step explanation:
This is the equation of a parabola which opens upwards and has a minimum value of 10 ( because of the + 10:- the vertex is at (5, 10).
Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)
Table D shows a proportional relationship. Notice how the difference between x and y is 5. 5/1=5, 10/2=5, 15/3=5...etc
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