Answer:
The equation is y=-x+6.
Step-by-step explanation:
To find the slope of this equation, we use the equation m=y2-y1/x2-x1, where m is the slope. Take one y coordinate and subtract it from the other and do the same with the x coordinates. Then, divide the difference of the y coordinates by the difference of the x coordinates. For example, 6-2/0-4. This gets us 4/-4. You can also do 2-6/4-0 which gets us -4/4. No matter what, we get -1 for each (we don't include the 1 in front of the x). To find the y-intercept, plug in the coordinates. For example, do 6=0(-1)+b or 2=4(-1)+b. No matter which you use, you get an answer of b=6. This gives you an equation of y=-x+6. Hope this helps :)
1) subtract from both sides
2) divide both sides by -2
(1)take the square root of both sides
(2) simplify
5) regroup terms
6) switch sides
7) break down the problem into these 2 equations
8) solve the 1st equation
(1) add 4 to both sides
(2) regroup terms
9) solve the 2nd equation
(1) add 4 to both sides
(2) regroup terms
10) collect all solutions
that's your answer!
I hope it understand you
Answer:
Width = 5 inches
Length = 9 inches
Step-by-step explanation:
The paper;
Length = (x + 4) inches
Width = x inches
The area is close as possible to 50 square inches.
Since this paper is rectangular in shape; the area of a rectangle is given by:
Area = Length × Width
∴ (x + 4) * x = 50 square inches
x² + 4x = 50
Let the area be equal to 45 square inches;
Applying the quadratic formula, x = 5 or -9
But since we are dealing with length measurements, the value of x = 5 inches.
So the width = 5 inches and;
length = 5 + 4 = 9 inches.
You have to use let statements:
Let x = the number of dimes
Let x+6 = the number of nickles
We know that nickles are represented as $0.05 and dimes $0.10...
Together they make $2.25 right? So you have to add them.
0.05(x+6) + 0.10(x) = 2.25 => This is the equation the problem is asking for.
If they ask you how many nickels and dimes does John have in this pocket, then you have to solve for x, like this:
0.05x + 0.3 + 0.10x = 2.25 In this step you apply the ditributive property.
0.15x + 0.3 = 2.25 In this step you combine like terms
0.15x = 2.25 - 0.3 In this step you moved to +0.3 to the other side, but remember to switch the sign!
0.15x = 1.95 In this step you subtract 2.25 and 0.3
x = (1.95) / (0.15) In this step you divide 0.15 in the right because in the left side of the equals sign it was multiplying. You get x by itslef.
x = 13 Latly, you divide and you get 13 as an answer
Now that the value of x is 13. You plug this number into the let statements.
We had:
x and x+6 which would be
x = 13
x+6 = 13+6 = 19
Which means that John has 13 dimes and 19 nickels in his pocket.