It would be the second one because to make a equation perpendicular, you have to flip the fraction (and if it was a whole number like 6 it would become 1/6) and then make it negative.
So your new equation would be y=-6/7x+4
Answer:
x = 4
Step-by-step explanation:
180 = 102 + 24x - 18
- 102 - 18 = 84
- subtract 84 from both sides
- 96 = 24x
- divide both sides by 4
- 4 = x
<u>Answer-</u>
- YZ = 9 cm
- XZ is the longest segment in triangle XYZ.
<u>Solution-</u>
Triangle XYZ is a right angle triangle with ∠Y=90°
Triangle XYZ is also an isosceles triangle, as
∠X =45°= ∠Z
Therefore, triangle XYZ is a right angle isosceles triangle.
So,
XY = YZ = 9 cm
Applying Pythagoras theorem,
In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.
It is called the hardy Ramanujan's number, named after the Indian mathematician, Srinivasa Ramanujan, and British Mathematician G. H Hardy.
Hardy went to visit Ramanujan while he was ill. He noticed that the number of the taxi he went in was 1729, which he thought was a dull number.
1729 = 12³ + 1³
1729 = 10³ + 9³
Fujiwara claimed that he proved there are only four numbers that have the property. Even though it seems to be true, he never has shown his proof. No other natural number, other than 1729, can be expressed as a sum of the cubes of two natural numbers in two different ways.
Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
