The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
Answer:
C
Step-by-step explanation:
5+2y+3z=5+3z+2yA
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.
5+3z+2yA=5+2y+3z
Resta 5 en los dos lados.
3z+2yA=5+2y+3z−5
Resta 5 de 5 para obtener 0.
3z+2yA=2y+3z
Resta 3z en los dos lados.
2yA=2y+3z−3z
Combina 3z y −3z para obtener 0.
2yA=2y
Anula 2 en ambos lados.
yA=y
Divide los dos lados por y.
y
yA
=
y
y
Al dividir por y, se deshace la multiplicación por y.
A=
y
y
Divide y por y.
A=1
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Answer:
15
Step-by-step explanation:
Distance between two points is = √(x2 - x1)² + (y2 - y1)²
x1 = -5, y1 = 4; x2 = 7, y2 = -5
|PQ| = √(7 - (-5))² + (-5 - 4)²
|PQ| = √(7 + 5)² + (-9)²
|PQ| = √(12)² + 81
|PQ| = √144 + 81
|PQ| = √225
|PQ| = 15
