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Darina [25.2K]
3 years ago
13

The distance between A (-5,3) and B(5,3) is

Mathematics
1 answer:
Llana [10]3 years ago
3 0
The distance between (-5,3) and (5,3) is 10
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What is the rule for finding the vertex of a formula in Standard form? Use that rule to
worty [1.4K]

The vertex is the minimum or the maximum point of the parabola.

<em>x and f(x) represent the horizontal and the vertical coordinates of the vertex.</em>

<em />

The standard form of a parabola is

f(x) = ax^2 +bx + c

The x coordinate of the parabola is calculated using:

x  =-\frac{b}{2a}

The value of the x-coordinate is then plugged in, into the equation to calculate the y-coordinate, as follows:

f(\frac{b}{2a}) = a(-\frac{b}{2a})^2 + b(-\frac{b}{2a}) + c

At the end of the calculation,

x and f(x) represent the horizontal and the vertical coordinates of the vertex.

Take for instance:

f(x) = 2x^2 + 4x - 9

The x-coordinate of the vertex is:

x = -\frac b{2a}

x = -\frac 4{2 \times 2}

x = -\frac 44

x=-1

The y-coordinate is:

f(x) = 2x^2 + 4x - 9

f(-1) =2 \times (-1)^2 + 4 \times -1 - 9

f(-1) =-11

So, the vertex of f(x) = 2x^2 + 4x - 9 is (-1,11)

See attachment for illustration of vertex of f(x) = 2x^2 + 4x - 9

Read more about vertex of parabola at:

brainly.com/question/20209326

5 0
2 years ago
The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by fact
gladu [14]
Let the smaller integer be x.
The larger integer is x + 1.

x(x + 1) = 420

x^2 + x = 420

x^2 + x - 420 = 0

The constant is -420.
6 0
3 years ago
Read 2 more answers
The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?
gladu [14]
We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub


p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
p= \frac {(x-6)(x+1)(x+4)}{(x-2)}

7 0
3 years ago
-3(n-2)=-8(n-2) im solving equations
olga2289 [7]

Here my work! Hope this help!

5 0
3 years ago
Read 2 more answers
What is the equation of the line which has a gradient of 2 and passes through the point (1,4)
timofeeve [1]

Answer:

Y= 2x+2

Step-by-step explanation:

line equation is y=mx +c


m is the gradient = 2

We are given an x and y value

X= 1
y= 4


substitute that into the equation:

4= 2(1) +c

2=c


Put all the equation together:

Y= 2x+2

5 0
2 years ago
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