Formula is y = a(x-h)^2 + k
Where h is 1 and k is 1
f (x) = a(x-1)^2 + 1
-3 = a(0-1)^2 + 1
-3 = a(-1)^2 + 1
-3 = a(1) + 1
-3 - 1 = a
-4 = a
a = -4
A must be equal to -4
y = -4(x-1)^2 + 1
0 = -4(x-1)^2 + 1
4(x^2 - 2x + 1) - 1 = 0
4x^2 - 8x + 4 - 1 = 0
4x^2 - 8x + 3 = 0
4x^2 - 8x = -3
Divide fpr 4 each term of the equation....x^2 - 2x = -3/4
We must factor the perfect square ax^2 + bx + c which we don't have. We must follow the rule (b/2)^2 where b is -2....(-2/2)^2 =
(-1)^2 = 1 and we add up that to both sides
x^2 - 2x + 1 = -3/4 + 1
x^2 - 2x + 1 = 1/4
(x-1)^2 = 1/4
square root both sides x-1 = (+/-) 1/2
x1 = +1/2 + 1 = 3/2
x2 = -1/2 + 1 = 1/2
x-intercepts are 1/2 and 3/2, in form (3/2,0); (1/2,0)
Here is my theory. I did not use the Pythagorean Theorem. I used basic cross multiplication.
z = 25
t = 24
Answer:
B 2x 3 x 11
Step-by-step explanation:
good luck have a nice day
Answer:
<u>TO FIND :-</u>
- Length of all missing sides.
<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>
<u>SOLUTION :-</u>
1) θ = 16°
Length of side opposite to θ = 7
Hypotenuse = x


≈ 25.3
2) θ = 29°
Length of side opposite to θ = 6
Hypotenuse = x


≈ 12.3
3) θ = 30°
Length of side opposite to θ = x
Hypotenuse = 11


4) θ = 43°
Length of side adjacent to θ = x
Hypotenuse = 12


≈ 8.8
5) θ = 55°
Length of side adjacent to θ = x
Hypotenuse = 6


≈ 3.4
6) θ = 73°
Length of side adjacent to θ = 8
Hypotenuse = x


≈ 27.3
7) θ = 69°
Length of side opposite to θ = 12
Length of side adjacent to θ = x


≈ 4.6
8) θ = 20°
Length of side opposite to θ = 11
Length of side adjacent to θ = x


≈ 30.2
Answer:
y=1.6x-5
Step-by-step explanation: