Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
Answer: 6
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
In this case we want to find the coefficient that has x. 6 is the only coefficient in the expression 6x + 9y + 15z that has the coefficient of x.
Basically, a coefficient is simply a number that has a variable after it.
First we have to assume that each quarter touched each other. Hence the area of the table not covered by the coins (A) is equal to the total area of the table (At) minus the total area of the coins (Ac). Coins are circle, so
and r =24.26mm. The area of one coin is then 1848.98mm^2. Hence the equation is A = At - xAc where x is the number of coins.
Answer:
3 30303/125000
Step-by-step explanation:
Answer:
y = -1x+2
Step-by-step explanation:
(1,1)(7,-5)
y2-y1/x2-x1 = slope
-5-1/7-1 = -6/6= -1
y-y1 = slope(x-x1) // equation formula
y-1=-1(x-1)
y = -1x + 1 +1
y = -1x+2
