Answer:
x = 5
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 53 = 4/x
Multiply each side by x
x sin 53 = 4/x *x
x sin 53 = 4
Divide each side by sin 53
x sin 53 / sin 53 = 4 / sin 53
x = 4 /sin 53
x = 5.008542633
To the nearest whole number
x = 5
Answer:
a = 30/5 = 6
Step-by-step explanation:
Answer:
b=2.5
p=6
Step-by-step explanation:
Take the fraction and simplify it. So 10/8 would be 5/4
You multiply the 2 by 2, giving you h/4
So now you have 5/4=h/4
h=5 but now you have to divide both by 2 again so it can go back to the original fraction.
5÷2=2.5 and 4÷2=2
Second Problem! 4/2 is equal to 2/1
You can also multiply 4 by 3 to get the numerator as 12. Multiply the 4 by 3 and the 2 by 3
Now you have 12/6= 12/p
So p is 6
False they don't have to be whole numbers. As long as they're greater than 0
Answer:
It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point
Step-by-step explanation:
The function that describes a parabola is a quadratic function
The standard form of a quadratic function is given as follows;
f(x) = a·(x - h)² + k, where "a" ≠ 0
When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"
When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve
When "a" is positive, the parabola opens upwards having a "u-shape" and therefore, has a minimum point (minimum value of the y-coordinate) at the top of the curve.
