Method 1: Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.
Thus, the equation of the new line is 3(-2) − 4(6) = C, where C comes out to 30.
Then the new line is 3x - 4y = 30.
Factor then solve. Exact Form: x = 0 , 7 + √ 97 2 , 7 − √ 97 2 Decimal Form: x = 0 , 8.42442890 … , − 1.42442890 …
Answer:
<h2>1. 14 in</h2><h2>2. 28 in.</h2><h2>3. 43 in</h2>
Step-by-step explanation:
x 2x 3x + 1
|---------|-------------------|---------------------------|
|<-------------------- 85 in ------------------------>|
85 = x + 2x + 3x + 1
85 - 1 = 6x
x = 84 / 6
x = 14
1st piece = 14 in
2nd piece = 2(14) = 28 in
3rd piece = 3(14) + 1 = 43 in
----------------------------
total = 85 in
Answer: y = 6
Step-by-step explanation:
A square's area can be done by using s^2, where s is y in this case. Because there are 5 squares, the area of the figure is 5y^2. Because the area is also 180cm, 5y^2=180.
Then divide both sides of the equation by 5 to get y^2 = 36. Then square root both sides of the equation to get y = 6.
Hope it helps <3
