The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
Step-by-step explanation:
The point-slope form of a linear equation is:
, where
- m is the slope of the line
is a point on the line
Any point on the line is a solution for the equation of the line
The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side
∵ The equation is y - 4 = 7(x - 6)
- Compare the equation by the point-slope form above
∴ m = 7
∴ 
= 6 and 
= 4
- That means point (6 , 6) lies on the line
∴ Point (6 , 4) is a point on the line which represents the
given equation
∵ Any point on a line is a solution of the equation of that line
∴ (6 , 4) is a solution of the equation
The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
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We simply divide the mass of Saturn with the mass of Earth.
5.686 x 10^26 / 6.04 x 10^21
The rule of significant figures when dividing numbers is that the least amount significant figures must be used in the quotient.
Therefore, Saturn is 9.41 x 10^4 times heavier than Earth.
Answer: apples = 7 and bananas = 8
Step-by-step explanation:
Let x represent the number of apples and y represent the number of banana,
and it was said that the total apples and bananas altogether is 15 , that is
x + y = 15 ................. equation 1
Also,
1.25x + 0.40y = 11.95 ............. equation 2
Solving the two equations simultaneously ,
From the first equation, x = 15 - y ........... equation 3
substitute equation 3 into equation 2, we have
1.25(15 - y) + 0.40y = 11.95
18.75 - 1.25y + 0.40y = 11.95
18.75 - 0.85y = 11.95
18.75 - 11.95 = 0.85y
6.8 = 0.85y
therefore y = 6.8/0.85
= 8
substitute y = 8 , into equation 3
x = 15 - 8
x = 7
Therefore , she bought 7 apples and 8 banana
Answer:
??? What is the question? ???
Step-by-step explanation:
Answer:
x > 9/5
Step-by-step explanation:
Step 1: Write inequality
2/3x - 1/5 > 1
Step 2: Solve for <em>x</em>
- Add 1/5 to both sides: 2/3x > 6/5
- Divide both sides by 2/3: x > 9/5
Here we see that any <em>x</em> value greater than 9/5 will work.
