Formula for slope: y2-y1/x2-x1
Plug in values.
3-8/-4-(-7)= -5/3 = slope
42-1/36-12=41/24=slope
Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:



Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33

y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.
<h3>What is a quadratic equation?</h3>
A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

From the information provided, we have the following values;
0 = -3x² - 2x + 6
Where:
a = -3
b = -2
c = 6
Substituting the values into the quadratic formula, we have;

Read more on quadratic equation here: brainly.com/question/4053652
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Answer:
The value of the expression when i is 1 is equals to 5.
Step-by-step explanation:
We are given the following expression:

Evaluate the expression when i is 1.
We replace i by 1. When we elevate a number to the 1, the result is the number we elevate. So

The value of the expression when i is 1 is equals to 5.
Answer:
A. 2
Step-by-step explanation:
The common ratio between the terms listed is 2. Each term is being multiplied by 2, so to find the first term, you have to divide the first term listed by 2.
4/2 = 2