9514 1404 393
Answer:
7 cm, 4.4 cm
Step-by-step explanation:
The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...
s = √(a² +b² -2ab·cos(C))
s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}
The two side lengths are 7 cm and about 4.4 cm.
The area of a triangle can be calculated using the following equation:
A = 1/2 (B x H)
Where B is the dimension of the base and H is the height of the triangle.
Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:
3.6 cm2 = 1/2 (6 cm) (H)
Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm.
Answer:
Option A
Step-by-step explanation:
Degree of the polynomial function = 4
That means highest degree term of the given polynomial has power = 4
If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,
f(x) = (x - a)(x - b)(x - c)(x - d)
It's given in the question that roots are x = -2, -1, 1 and 3
Therefore, polynomial function will be,
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3
Therefore, Option A will be the answer.
This is your personal answer
2( x - 6) <= 28
x - 6 <= 14
x <= 20