How to find the vertex of the,quadratic equation m^2-5m-14=0

Answers

Answer 1

Answer: $quadratic\ formula:ax^2+bx+c=0\n\nm^2-5m-14=0\n\na=1;\ b=-5;\ c=-14\n\nthe\ vertex:(p;\ q)\ where\ p=(-b)/(2a)\ and\ q=-(b^2-4ac)/(4a)\n\np=(-(-5))/(2\cdot1)=(5)/(2)=2.5\n\nq=-((-5)^2-4\cdot1\cdot(-14))/(4\cdot1)=-(25+56)/(4)=-(81)/(4)=-20.25\n\nAnswer:The\ vetrex\ is\ (2.5;-20.25)$

Related Questions

A bottle rocket that was made in science class had a trajectory path that followed the quadratic equation y=-x^2+4x+6. What is the turning point of the rocket's path?1) (1,5)2) (2,10)3) (-2,-10)4) (1,-5)
1+3+5......+99 Si rezolvarea va rog fiindca nu inteleg !!
To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?.
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Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4kg. The total weight of Carl's baggage is 35kg. Write an equation to find the weight of the checked bags.

Answers

x=weight of one checked bag.
we can suggest this equation:

2x+4=35

Now, we solve this equation:
2x+4=35
2x=35-4
2x=31
x=31/2
x=15.5

Answer: the equation will be: 2x+4=35, and the weight of one checked bag will be 15.5 g,

Answer:

15.5

Step-by-step explanation:

2w+ 4 = 35 is the equation

15.5 is the total for w

I did this khan and this answer is correct

Hope this helps!

What does | 3+i | equal

Answers

The straight lines are asking to find the modulus or the size of the complex number.
For a complex number z = x + iy, [z] = √(x^2 +y^2)
Where x = Real Number, y = Imaginary number.
For 3 +i, x = 3, y = 1 (Note y is what number that is attached to i)

[3 + i] = √(3^2 +1^2) = √10 = 3.162

What is the cube of the quotient 24 and 6

Answers

Quotient of 24 and 6 is : $\frac { 24 }{ 6 } =4$

and 4's cube is : ${ 4 }^( 3 )\quad =\quad 4\cdot 4\cdot 4=64$
The answer is 64

The perimeter of a rectangle is 30 cm. The width of the rectangle is 7 cmWhat is the area of the rectangle?

A) 56 cm

B) 49 cm

C) 14 cm

Answers

Let's say the length of the rectangle is L.

We have P= (L+W)*2
⇒ 30 cm= (L+ 7 cm)*2
⇒ L+ 7 cm= 15 cm
⇒ L= 8 cm.

S= L*W= 8 cm* 7 cm= 56 cm^2.

The answer is A) 56 cm^2.

Hope this helps~

perimeter = 2(l+w)
30 = 2(l+7)
30 = 2l + 14
30 - 14 = 2l
16 = 2l
8 = l

l = 8
w = 7

area = l x w = 8 x 7 = 56 cm²

Find the slope of the line containing the points (-1,6) and (2,1).

Answers

$(x_1;\ y_1);\ (x_2;\ y_2)\n\nm=(y_2-y_1)/(x_2-x_2)\n==========================\n\n(-1;\ 6);\ (2;\ 1)\n\nm=(1-6)/(2-(-1))=(-5)/(2+1)=(-5)/(3)=-1(2)/(3)$

Trying to find derivative of y = x^(lnx), show step-by-step solution

Answers

$y=x^(ln(x))\n ln(y)=\ln{x^(ln(x))}\n ln(y)=ln(x)ln(x)\n (1)/(y) dy= ((1)/(x) ln(x)+ (1)/(x) ln(x))dx\n\n(1)/(y) y'= (2)/(x) ln(x)\n\ny'=y(2)/(x) ln(x)\n\ny'=x^(ln(x))(2)/(x) ln(x)\n\ny'= (x^(ln(x))2ln(x))/(x) \n\ny'=2x^(ln(x)-1)ln(x)$

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