The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
4(4) -4 = 16-4 = 12
She was wrong because she thought that x= 6
Divide the miles by the gallons used for each car to find the miles per gallon, then compare them:
Blue car: 18 2/5 miles / 0.8 gallons = 23 miles per gallon.
Red car: 17 2/5 miles / 0.7 gallons = 24.86 miles per gallon.
The red car can travel farther on 1 gallon of gas.
Your answer will be 17/15
Firstly you should use Pythagorean’s theorem like this
H²=p²+b²
Where p is bc
And b is ac
Then keep the value and solve it and you will get h as 17
At last keep cosA = b/ h
Hope it helps : )
If you didn’t understand please tell me
Let's assume that the parabola has the following intersections with the x axis:
x1 = p
x2 = q
To find the equation of the parabola, we write the following product of binomials:
(x-p) (x-q) = 0
Where,
p, q: intersections with the x axis.
When developing the product of binomials, we obtain the equation of the parabola.
Answer:
(x-p) (x-q) = 0
