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)
3.
1000 miles per month.
12 months in a year.
1000 × 12 = 12000 miles per year
Oil change every 4000 miles.
12000 ÷ 4000 = 3
Therefore 3 oil changes per year.
Answer:
19
Step-by-step explanation:
The boots are the value of 10, since 3 equal 30. The man is the value of 5 since there are two men (10) and one boot (also 10) which made 20. The ribbon is the value of 4 since there is one man (5) and 2 ribbons (8 ) which made 13. add 10, 5 and 4 and you get 19.
If 7 is the value F it makes the equation true!
Answer:
1.) Triangle is <u>1/2 x b x h (Which is option C)</u>
2.) Rhombus is<u> ½ × d1 × d2. (Which is option A)</u>
3.) Trapezoid is <u>½(b 1+b 2)h or (b1 + b2)h/2 (Which is option B)</u>
4.) Parallelogram is <u>base x height (Which is option D)</u>
Step-by-step explanation:
