3a + 3b, for a=2 and b=4 ... The first thing you'd do would be to plug the numbers in -
3 x 2 + 3 x 4
Then multiply them -
6 + 12
Then add -
18.
So your answer should be 18.
Step-by-step explanation:
the side on the left of 155 is 180-155 which is 25
the one on top of 120 is 180-120 which is 60 so the one on the right of x is 180-(25+60) which is 95
now the value of x is 180-95 which is 85.
in the second one x=180-100 because the angle on the bottom of x is corresponding to the one that's equal to 100, so x=180-100 which is 80
for the first one x=85
the second one x=80
Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
