Question

Q1 Find the value of k if 2x-y=k,at (1,-1)
Q2 Draw the graph for x+y=5
Q3.If the supplement of an angle is 3 times of its complement ,find the angles.
Q4.A triangle has sides 35cm,54cm,and 61cm long Find its area .Also, find thesmallestof itsaltitude.

Answer 1

Answer:

Step-by-step explanation:

Q1  ~ given that 1 and -1 are the solutions

that mean x = 1 and y = -1

~ Which gives us 2(1) + ( -1) = K

2 - 1 = K

Therefore 1 = K

Q2  given equations : x+y = 5 ..(1)

x-y=5..(2)

solution :

x+y = 5 ..(1)

put x= 0

we get

y = 5

coordinate  (0,5)

put y = 0 we get x = 5

coordinate  (5,0)

similarly

x-y = 0

put x = 0 we get y = -5

coordinate  (0,-5)

put y = 0 we get x = -5

coordinate  (-5,0)

from the graph

ABC is the triangle formed with base = 10 units

and height = 5 units

then area of triangle ABC =

= 25 cm ²

hence  , The are of the triangle formed is 25 cm ²

Q3 Angle measured is 45°.

Q4 a = 35cm

b = 54cm

c = 61cm

s = a+b+c / 2

= 35+54+61 / 2

= 150 / 2

= 75

area = whole root 75(75-35)(75-54)(75-61)

= whole root75*40*21*14

= whole root25*3*2*5*4*7*3*7*2

= 5*3*2*2*7root5

= 420root5

now,

area = 1/2bh

= 1/2*35*h = 420root5

= h = 420*2*root5 / 35

= h = 24root5

Answer 2

Answer:

1. 3
2. in graph
3. 45° is the angle
4. area is 420√5cm² and smallest altitude is 30.79 cm

Step-by-step explanation:

explained in the picture attached

pls mark me brainliest