Step-by-step explanation:
Answer:x=−y−1
Step-by-step explanation:Let's solve for x.
−y=x+1
Step 1: Flip the equation.
x+1=−y
Step 2: Add -1 to both sides.
x+1+−1=−y+−1
x=−y−1
Answer:
x=−y−1
To solve this problem you must apply the proccedure shown below:
1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:
x−2.23(-2x^2+8x)+10.34=0
3. When you apply the distributive property, you obtain:
x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0
4. When you solve the quadratic equation, you obtain:
x=3 units
Therefore, the answer is the option D: D. 3 units.
Answer:
Step-by-step explanation:
1740=1200(1.15)^x
x=2.65854602561
Refer to the attached image.
Given the rectangle ABCD of length 'l' and height 'h'.
Therefore, CD=AB = 'l' and BC = AD = 'h'
We have to determine the area of triangle AEF.
Area of triangle AEF = Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE
Area of triangle ADF = 
= 
= 
Area of triangle ECF =
= 
= 
Area of triangle ABE =
= 
= 
Now, area of triangle AEF =
Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE
= 
= 
=
=
= 27 units
Therefore, the area of triangle AEF is 27 units.
