The Pythagorean theorem a²+b²=c²
16²+18²=c²
256+324 = 580
√580
24=4x-6
(add six both sides)
30=4x
(divide 4 both sides.)
7.5=x (roughly)
Answer:
Step-by-step explanation:
discriminant=5²-4×1×7=25-28=-3<0
no real number solution.
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
Answer:
The slopes of WX and XZ
Step-by-step explanation:
The singular factor that determines if the parallelogram is a rectangle are the angles at the edges
Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle
So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product
Hence, the slopes of WX and XZ can be calculated to show this
Answer:
y=(1/9)x+4
Step-by-step explanation:
x=3b
b=(1/3)x
y=2/6(1/3)x+4
y=(2/18)x+4
y=(1/9)x+4
