Write y= 2x2 +12x+14 in vertex form.
Answers
Answer:
y = 2 (x + 3)² − 4
Step-by-step explanation:
y = 2x² + 12x + 14
First, factor the leading coefficient from the first two terms:
y = 2 (x² + 6x) + 14
Complete the square. Take half of 6, square it, then add and subtract.
(6/2)² = 3² = 9
y = 2 (x² + 6x + 9 − 9) + 14
Simplify:
y = 2 (x² + 6x + 9) − 2(9) + 14
y = 2 (x² + 6x + 9) − 18 + 14
y = 2 (x² + 6x + 9) − 4
Factor the perfect square.
y = 2 (x + 3)² − 4
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3x+70−7x=3x+70+−7x
Combine Like Terms:=3x+70+−7x=(3x+−7x)+(70)
=−4x+70
Answer -4x+70
I really don't understand what you mean by this, perhaps you wrote the question wrong, but it would be great than 18.
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The length of the rectangle will be 18 cm.
The width of the rectangle will be 28 cm.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The perimeter of rectangle = 52 cm
An Area of a rectangle = 144 cm²
Let the length of the rectangle = l
The width of the rectangle = b
So, We get;
⇒ 2 (l + b) = 52
⇒ l + b = 26 ..(i)
And, l x b = 144 ..(ii)
Since, (l - b)² = (l + b)² - 4lb
= (26)² - 4 × 144
= 676 - 576
= 100
⇒ l - b = √100
⇒ l - b = 10 ..(iii)
Solve equation (i) and (iii), we get;
⇒ l = 18 cm
⇒ b = 28 cm
Thus, The length of the rectangle will be 18 cm.
The width of the rectangle will be 28 cm.
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8+8+18+18= 52
Tada!
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If a, b, and r are real numbers (and if a and b are not each equal to zero) then ax+with the aid of = r is called a linear equation in two variables. (The “ variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by means of = r. The range r is known as the regular of the equation ax + through = r.
What's an equation example?
An equation is a mathematical statement this is made up of expressions related with the aid of the same signal. for instance, 3x – five = 16 is an equation. Solving this equation, we get the price of the variable x as x = 7.
A one-step equation is an algebraic equation you may resolve in the most effective one step. You've got solved the equation when you get the variable through itself, and not using numbers in the front of it, on one side of the same signal.
Learn more about the equation here: brainly.com/question/1214333
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With addition you can do something like...
x + x=100 x=50
or
x+50=100
I'm not sure if I helped much but if you want you can explain more so I can help you with specific numbers or equations. :)
81.98%
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1) 2/3 *12
You basically do this
2/3 * 12/1 = 24/3 which = 8!
2) 13 * 1/2
= 13/1 * 1/2
= 13/2
= 6 1/2
Hope this helps!