Answer:
Step-by-step explanation:
The standard form of a quadratic equation is 
The vertex form of a quadratic equation is 
The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.
To find the h-value of the vertex, you use the following equation:
In this case, our quadratic equation is 
. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.
⇒ 
Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is
⇒ 
⇒ 
⇒ 
This y-value that we just found is our k-value.
Next, we are going to set up our equation in vertex form. As a reminder, vertex form is:
a: 1
h: 3
k: -25
Hope this helps!
The solution to the linear expressions are:
- a. $36.26
- b. -$19.35
- c. $70.38
<h3>Solving linear expressions:</h3>
The solution to linear expression is determined by taking into consideration the arithmetic operations used in each linear expression.
From the information given:
a. $18.79 + $2.11 + ‐$1.92 + $17.28
By rearrangement:
= $18.79 + $2.11 + $17.28 ‐$1.92
= $36.26
b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52
By rearrangement:
= $7.45 + $74.17 ‐ $24.45 ‐ $76.52
= -$19.35
c. $98.45 − $10.63 + $2.82 − $20.26
By rearrangement:
= $98.45 + $2.82 − $10.63 − $20.26
= $70.38
Learn more about solving linear expressions here:
brainly.com/question/2030026
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Answer:
Therefore Lateral Area of Cone is 189.97 yd².
Step-by-step explanation:
Given:
Slant height = 12.1 yd
Diameter = 10 yd
∴ Radius = half of Diameter = 10 ÷ 2 = 5 yd
To Find:
Lateral Area of Cone = ?
Solution:
We know that,
Substituting the given values we get
Therefore Lateral Area of Cone is 189.97 yd².
2 2/3 ounces
1 cup = 8 oz
1/3 cup = 2.66667 oz
if we convert 6/8 to a smaller fraction it became 3/4. then, if we convert 27/36, it became 3/4. so, 6/8 os equivalent with 27/36. so the answer is 216=216
