To define a perpendicular rays, we first define a ray.
A ray starts from one point and extend it to form one direction.
If two lines or rays or line segments intersect at right angle (90°), then they are perpendicular.
In particular, Perpendicular rays are rays that intersect to form a right angle.
Four right angles are formed in the perpendicular rays.
Answer:
1. 9x^2-24xy16y^2
2.
3.9y^2-246y+1681
4. 18x^2+54x-44
Step-by-step explanation:
1. (3x)^2-2*3x*4y+(4y)^2
9x^2-2*3x4y+(4y)^2
9x^2-24xy+(4y)^2
9x^2-24xy+16y^2
Ans: 9x^2-24xy+16y^2 the (*) are times
2. 912+31-20=923
ANS: 13*71
3. 1681-246y+9y^2
9y^2-246y+1681
ANS : 9y^2-246y+1681
4. 3x*(9*2+6x+4)-2(9*2+6x+4)
54x+18^2+12x-2(9*2+6x+4)
54x+18x^2+12x-36-12x-8
54x+18^2+12x-36-12x-8
54x+18x^2-36-8
18x^2+54x-36-8
18x^2+54x-44
Ans: 18x^2+54x-44
5. 3x*3x-3x*4+5*3x-5*4
9x^2-3x*4+5*3x-5*4
9x^2-12x+5*3x-5*4
9x^2-12x+15x-5*4
9x^2-12x+15x-20
ANS: 9x^2+3x-20
6. (31+2)(912-61+4)=28215
ANS : 3^3*5*11*19
7. 9.12-2414+1672
912/100-2414+1672
2^4*3*19/2^2*5^2 -2414+1672
2^4-2*3*19/5^2 -2414+1672
2^2*3*19/5^2 -742
(2^2*3*19)-5^2)742/5^2
(4*3*19)-25*742/5^2
228-18550/5^2
18322/5^2
8. 2713-8
2705
ANS: 5*541
Answer:
P(x) = x³ - 3x² - 5x + 15
Step-by-step explanation:
∵ The roots of the polynomial are -√5 , √5 , 3
∴ The polynomial has 3 factors:
(x - √5) , (x + √5) , (x - 3)
∴ P(x) = (x - √5)(x + √5)(x - 3)
= (x² + √5x - √5x - 5)(x - 3)
= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15
∴ P(x) = x³ - 3x² - 5x + 15
Answer:
A
Step-by-step explanation:
-5 i s greater than -2.
Nope that aint true
-2 is greater than -5 is correct since -2 is closer to the postivie numbers and zero.
-5 is farther so it is less than -2.
Answer:
Cost Price = Rs 10000
Step-by-step explanation:
Assume:
Cost of the item = x
Item was sold at a loss of 20%:
Loss = 20% of x = 0.2x
Item sold = x - 0.2x = 0.8x
Item sold at a profit of 10%:
Profit = 10% of x = 0.1x
item sold = x + 0.1x = 1.1x
Solve:
Difference = 1.1x - 0.8x = 0.3x
0.3x = Rs 3000
x = Rs 3000 ÷ 0.3
x = Rs 10000
