Answer: Dist = 8.94, midpoint = (1,6)
Step-by-step explanation:
Basically, the Distance between the points is the hypotenuse of a right triangle, whose legs are parallel to the x and y axes.
Leg 1 = x2 - x1 = 5 - -3 = 8
Leg 2 = y2 - y1 = 8-4 = 4
Hypotenuse = (8^2 + 4 ^2) ^ .5 = (64+16)^.5
Sqrt(80) = 8.94
The midpoint is aligned with the midpoint of each leg
X = 5 - 8/2 = 1
Y = 8 - 4/2 = 6
So (1,6) is the midpoint
The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. For example: is congruent to: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
CPCTC is an acronym for corresponding parts of congruent triangles are congruent. CPCTC is commonly used at or near the end of a proof which asks the student to show that two angles or two sides are congruent. ... Corresponding means they're in the same position in the 2 triangles.
Answer:
998.
Step-by-step explanation:
Just get rid of the negative sign
Answer:
Step-by-step explanation:
The volume V of the fountain is equal to:
V = L*W*h
Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain
We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:
L = 18 - 2x
W = 12 - 2x
So, replacing L, W and h on the equation of the volume, we get:
V = (18-2x)*(12-2x)*x
Finally, simplifying the function we get:
