Answer:
The top is 5
The right side is 5
The bottom is 2x = 2*5 = 10
The left is 5-2 = 3
Step-by-step explanation:
The perimeter is the sum of the sides
x+x+ 2x + x-2 = 23
Combine like terms
5x-2 = 23
Add 2 to each side
5x-2+2 = 23+2
5x = 25
Divide each side
5x/5 = 25/5
x = 5
The top is 5
The right side is 5
The bottom is 2x = 2*5 = 10
The left is 5-2 = 3
Answer: Use the function f(x)=x2-2x+8 and the graph of g(x) to determine the difference betw een the maximum value of g(x) and the minimum value of f(x).
Answer:
Linear: y = x, y = x/2 - 3, 3x + 2 = 12
Nonlinear: y = 6/x - 2, y = 3x^3 + 5
Step-by-step explanation:
Linear functions form straight lines while nonlinear functions do not.
Answer:
(x - 2)² - 30
Step-by-step explanation:
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
f(x) = x² + 2(- 2)x + 4 - 4 - 26 = (x - 2)² - 30
BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.