Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
Answer:
a = -5
Step-by-step explanation:
Given
-18 + 2a = 2(3a + 1)
Expand the bracket on the right
-18 + 2a = 2 x 3a + 2 x 1
-18 + 2a = 6a + 2
Add 18 to both sides
-18 + 18 + 2a = 6a + 2 + 18
2a = 6a + 20
Subtract 6a from both sides
2a - 6a = 6a - 6a + 20
-4a = 20
Divide both sides by -4
-4a/-4 = 20/-4
a = -5
Answer:
Step-by-step explanation:
The answer would be a dot plot hope this helps
Assume that 7 is a. We already know that c = 25. The equation is c^2 - a^2 = b^2.
25^2= 625 7^2= 49 625-49= 576
Square root of 576 = 24
The length of thee other leg is 24.
