Answer:

Step-by-step explanation:
y = x² - 10x + 27
y = ax² + bx + c
This is the general form of the equation for a parabola.
We must convert it to the vertex form
y = (x - h)² + k, where (h,k) are the coordinates of the vertex.
We can do this by completing the square.
The figure below shows that your parabola has its vertex at (5,2).
F(x)=2x+3. easy as that, just replace y with f(x)
Answer:
x=4
Step-by-step explanation:
In triangle MLK
- it is a equilateral triangle
- Hence
- ML=LK=MK=5
Now come to triangle MKJ
- It is a isosceles triangle
- Hence
- MJ=Mk
MK=5
Hence




Say x is the number of weeks until their money is equal. Then, we can set up an equation.
400 + 25x = 250 + 75x
Subtract 250 from both sides
150 + 25x = 75x
Subtract 25x from both sides
150 = 50x
Divide by 50 on both sides
3 = x
That means the answer is 3 weeks.
Answer:
see explanation
Step-by-step explanation:
Sum the sides of both polygons and equate.
(20)
x + 4 + x + 2 + x + 5 = 2(x + 1) + 2(x + 3) ← distribute parenthesis
3x + 11 = 2x + 2 + 2x + 6
3x + 11 = 4x + 8 ( subtract 3x from both sides )
11 = x + 8 ( subtract 8 from both sides )
3 = x
(21)
5(12x) = x + 7 + 6x + 9 + x + 10
60x = 8x + 26 ( subtract 8x from both sides )
52x = 26 ( divide both sides by 52 )
x =
= 