Step-by-step explanation:
Given:
2x−y=7
Matching given equation with the variables,
a=2
and
b=−1 .
Swap "a" and "b"
-x + 2y = 7
Because b is negative, let's change that one:
x + 2y = 7
Is perpendicular to
2x−y=7
. Here is a graph to prove it:
The red line is
2x−y=7
The blue line is
x+2y=7
If you want the perpendicular line to go through a given point, then make the constant term on the right a variable (for example k)
x+2y=k
Now lets make the perpendicular line go through the point
(1,1)
by substituting 1 for x, 1 for y and the solving for k:
1+2(1)=k
k=3
The equation of the line that perpendicular to
2x−y=7 and goes through the point
(1,1)is:
x+2y=3
Please mark me as brainleist.
The answer is 3.0×10¹².
(5×10⁷)(6×10⁴)
(5×6)(10⁷×10⁴)
30×10⁷⁺⁴
30×10¹¹
Since the constant cannot be greater than 10, move the decimal point to the left.
30×10¹¹
3.0×10¹¹
The decimal was moved by one space, so the constant must be multiplied by 10 the one power. The 10 to the eleventh power still needs to be multiplied as well.
3.0×10¹⁺¹¹
3.0×10¹²
Since two exponents with the same base are being multiplied, it can be simplified by adding the exponents. Therefore, the final answer is 3.0×10¹².
Answer:
3x +6
Step-by-step explanation:
(4x+7) - (x+1)
Distribute the minus sign
(4x+7) - x-1
Combine like terms
4x -x +7-1
3x +6
The distance would be 13 because 6.5 is only half of the lake so times that by 2
