Answer:
(6,20) because both lines pass through this point
Step-by-step explanation:
To solve this you can use the substitution method.
Since both of them are equal to y, substitute one of the equations for y, that way you have x+14 = 3x+2. From here you continue to simplify.
Eliminate x from either side of the equation. For example, subtract x from the side that says "x+14". (Make sure you are also subtracting it from the other side of the equal sign as well.
Once you do this you should now have 14 = 2x+2
In order continue, you now have to get x by itself. So now subtract 2 from both sides of the equation. After doing this, you should have 12 = 2x
You then simplify x by dividing both sides by 2. This will get you x = 6
Now that you have the x-value, substitute that into either of the two equations (it is recommended you substitute it into both equations to make sure you have the correct x-value). For example: If I substitute x into Line C's equation, I will now have y = 6 + 14.
6 + 14 is 20, therefore you're y-value is y = 20
Answer:
StartLayout Enlarged Left-Brace 1st Row 2 l + 2 w = 96 2ndRow l w = 504 EndLayout
Step-by-step explanation:
The equation for the perimeter is ...
P = 2l +2w
The equation for the area is ...
A = lw
Using these equations with the given perimeter and area, we can write the system of equations ...
Divide both by 4
4x/4 = 24/4
X=6
Answer: Spindle
Step-by-step explanation:
in Chapter
Answer:
Method 1 (using the area of a whole circle and dividing by 4)
First work out the area of the whole circle by substituting the radius of 8cm into the formula for the area of the circle:
A = π ×r²
= π ×8²
= 64π (leave the answer as an exact solution as this need to be divided by 4).
So all you need to do now is divide the answer by 4:
Area of a quadrant = 64π ÷4 = 16π = 50.3 cm² to 3 significant figures.
Method 2 (using ¼ πr²)
Substitute r = 8 directly into the formula A = ¼ πr².
A = ¼ πr².
A = ¼ × π × 8².
A = 50.3 cm²
As you can see it gives exactly the same answer as method 1.