Q: Reflect B (2,7) over the y-axis
Answer:
(-2,7)
Hope this helps! Feel free to comment on this reply if you have any questions. :)
Answer:
2
Step-by-step explanation:
So I'm going to use vieta's formula.
Let u and v the zeros of the given quadratic in ax^2+bx+c form.
By vieta's formula:
1) u+v=-b/a
2) uv=c/a
We are also given not by the formula but by this problem:
3) u+v=uv
If we plug 1) and 2) into 3) we get:
-b/a=c/a
Multiply both sides by a:
-b=c
Here we have:
a=3
b=-(3k-2)
c=-(k-6)
So we are solving
-b=c for k:
3k-2=-(k-6)
Distribute:
3k-2=-k+6
Add k on both sides:
4k-2=6
Add 2 on both side:
4k=8
Divide both sides by 4:
k=2
Let's check:
:
I'm going to solve for x using the quadratic formula:
Let's see if uv=u+v holds.
Keep in mind you are multiplying conjugates:
Let's see what u+v is now:
We have confirmed uv=u+v for k=2.
Answer:
The width of the garden bed must be less than or equal to 4 feet.
Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
Given;
The length is 6 feet;
To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
Therefore, the width of the garden bed must be less than or equal to 4 feet.
ANSWER
• Circumference: 18.84 ft
,
• Area: 28.26 ft²
EXPLANATION
The circumference of a circle of radius r is,
In this case, the radius is r = 3 ft and we have to use 3.14 for π,
Hence, the circumference of this circle is 18.84 feet.
The area of a circle of radius r is,
In this case, r = 3 ft and π = 3.14,
Hence, the area of this circle is 28.26 square feet.
Answer: -437
Step-by-step explanation: