Answer
Option (A) is correct .
Reason
The formula for the slope.

As given
Line AB contains (0, 4) and (1, 6) .
put in the slope formula


Slope of the AB is 2.
As given
Line CD contains points (2, 10) and (−1, 4).
put in the slope formula


Slope = 2
Slope of the CD is 2.
As the slope of the AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .
Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.
Answer:
36 in²
Step-by-step explanation:
The figure that is been described is a Parallelogram.
The area of a Parallelogram is = Base × Height
From the question, the Height of the Parallelogram = 4 inches
The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle
= 5 inches + 4 inches
= 9 inches
Area of the Parallelogram = 9 inches × 4 inches
= 36 square inches or 36 in²
The complete question is
"which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33
Oa. The equation has a maximum value with a y coordinate of -27
Ob. The equation has a minimum value with a y coordinate of -21
Oc. the equation has a minimum value with a y coordinate of -27
Od. The equation has a maximum value with a y coordinate of -21"
The quadratic equation has the extreme value at the vertex with a y-coordinate of -21. so, the correct option is D.
<h3>What is a quadratic equation?</h3>
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given quadratic equation is
y=-3x^2+12x-33
x = -b/2a
For the given equation the vertex :
x = -12/2(-3) = 2
The value of y at x = 2 is:
y = -3(2²) + 12(2) - 33
y = -12 + 24 - 33
y = -21
The extreme is the maximum for the given equation.
The correct choice is D.
Learn more about quadratic equations;
brainly.com/question/13197897
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