Step-by-step explanation:
area of rhombus =1/2(d1×d2)
=1/2(4.25×4.25)
=1/2×18.0625
=9.03cm^2
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
Answer:
100
Step-by-step explanation:
10x10=100
Answer:
D. 140°.
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the measure of angle 3.
We know that when two line intersect they form two pairs of vertical angles.
Since angle 3 and angle 4 are vertical angle, they will be equal in measure. Using this information, we can set an equation as:
Upon substituting the expression for angle 3 and angle 4 is our equation we will get:
Upon dividing both sides of our equation by -1, we will get:
Upon substituting in expression for angle 3, we will get:
Therefore, the measure of angle 3 is 140 degrees and option D is the correct choice.
