The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.
In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.
1 and -20
-1 and 20
2 and -10
-2 and 10
4 and -5
-4 and 5
Now we must pick out the pair that add to the coefficient of x.
1 and -20
-1 and 20
2 and -10
-2 and 10
4 and -5
-4 and 5
Once you've picked out those numbers, you can place each in a parenthesis with x.
f(x) = (x - 2)(x + 10)
Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.
x - 2 = 0
x = 2
x + 10 = 0
x = -10
Answer:
how to find them
Step-by-step explanation:
1. The sine of the angle = the length of the opposite side. the length of the hypotenuse.
2. The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
3. The tangent of the angle = the length of the opposite side. the length of the adjacent side.
Answer: graph d for apex
Step-by-step explanation:
Answer:
1553/1250 its already in its simplified form
Answer:
a = - 2 , b = 8
Step-by-step explanation:
Since the points p and q lie on the graph then they satisfy the equation
(6, 4 ) , substitute x = 6 , y = 4 into the equation
6a + 4b = 20 → (1)
(2, 3 ) , substitute x = 2, y = 3 into the equation
2a + 3b = 20 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate a
- 6a - 9b = - 60 → (3)
add (1) and (3) term by term to eliminate a
0 - 5b = - 40
- 5b = - 40 ( divide both sides by - 5 )
b = 8
Substitute b = 8 into either of the 2 equations and solve for a
Substituting into (1)
6a + 4(8) = 20
6a + 32 = 20 ( subtract 32 from both sides )
6a = - 12 ( divide both sides by 6 )
a = - 2