Step-by-step explanation:
As seen from the graph, the curve crosses the x-axis when x = -1 and x = 1. The y-intercept of the curve is -1.
Hence, the quadratic equation of the curve is y = x^2 - 1.
We know area of triangle =
In triangle ABC , AB is the base and BC is the height
Now we find the distance between A and B
Distance formula is
A(0,3), B(7,3)
Distance AB =
= = 7
B(7,3), C(7,7)
Distance BC =
= = 4
area of triangle =
area of triangle =
= = 14
Answer:
A: Step 1: 6x − 10 = 1; Step 2: 6x = 11
Step-by-step explanation:
First: remove parentheses by multiplying factors.
6x - 10 = 1
Second: Move the constants to the right side of the equation
6x = 1 + 10
6x = 11
P=2L+2W
P-2W=2L
P/2-W=L
L=P/2-W
Note that
108° = 90° + 18°
so
sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)
Then
sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1
by the Pythagorean identity.