Answer:
4x-2y=2
Step-by-step explanation:
Line R is represented by the following equation:
x+y=2
We need to choose another system of equation of x+y=2
whose solution is (1,1)
The equation must be satisfy the point (1,1)
Option 1: 2x+y = 2
Put x=1 and y=1
2(1)+1 = 3
3 ≠ 2
False
Option 2: 4x-2y=2
Put x=1 and y=1
4(1) - 2(1) = 2
2 = 2
True
Option 3: 2x-2y=2
Put x=1 and y=1
2(1) - 2(1) = 0
0 ≠ 2
False
Option 4: x+y=4
Put x=1 and y=1
1+1 = 2
2 ≠ 4
False
Hence, The system of equation is 4x-2y=2
Answer:
13/8
Step-by-step explanation:
1/2+3/4+3/8
denominator should be 8
4/8+6/8+3/8
add
13/8
Answer:
Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
Answer:
C. 15.9 m
Step-by-step explanation:
Let x be the height of the telephone pole,
Since, the length of the shadow of pole is 34 m,
So, the ratio of the height of the pole and its shadow = 
,
Also, the statue is of 36 cm tall casts a shadow 77 cm long,
Thus, the ratio of the height of pole = 
At the same time,
The ratio of height with shadow is same for all objects.
Hence, the height of the telephone pole is 15.9 m.
Option 'C' is correct.
y=8
This is a 30-60-90 triangle which follows a specific rule.
Under this rule; the side containing the 60 and 90 angles is x, the side containing the 30 and 90 angles is x sqr root 3, and the side containing the 60 and 30 angles is 2x.
We are given the side that contains the 30 and 90 angles and therefore we know that is the same as x sqr root 3. Since it’s given as 4 sqr root 3 we can solve for x and get 4 for x.
We need to know the side that contains the 30 and 60 angles. Since this is 2x we can multiply what we got for x by 2. 2*4 is 8.
Therefore, y=8.
