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3 years ago

9

how to know if i have to subtract or add in a point slope form? for example the part where it says (x - 1) how would i know if i

ts (x - 1) or (x + 1) ?????????????

2 answers:

grin007 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

the general formula is

(y-y1)=m(x-x1) where

m is the slope

(x1, y1) are the coordinate of one point that belongs to the line

(x,y) are just variables

If you are given point (-3,4) and slope 2 for example the equation is

m=2, (x1, y1)=(x1=-3, y1=4)

so the equation is

(y-4) = 2(x-(-3)) so is

(y-4) =2(x+3)

Jobisdone [24]3 years ago

3 0

Answer:

hoi

Step-by-step explanation:

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The axis of symmetry for the graph of the function f start bracket x end bracket equals one-quarter x square plus b x plus 10 is

zimovet [89]

The value of b is -3.

<h3>What is axis of symmetry?</h3>

Axis of symmetry is a line that divides an object into two halves,thereby creation a mirror like reflection of either side of the object.

Now the given function is,

f(x) = 1/4 x^2 bx + 10

and axis of symmetry is at x = 6

Now the quadratic function in standard form is given as,

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

By comprison we get,

a = 1/4

c = 10

Since axis of symmetry is a vertical line

x = -b/2a

Therefore,

6 = -b/2*(1/4)

-b = 6*2*(1/4)

or, b = -12/4

or, b = -3

Hence,The value of b is -3.

More about axis of symmetry :

brainly.com/question/3514150

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2 years ago

A school has a hurdle track that is of one fifth of a mile long. They are considering extending the track to be one fourth of a

alina1380 [7]

Answer:

Step-by-step explanation:

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3 years ago

Jaden carried her receipt for the doctor visit to the cashier. The amount billed was $112 she has $29 copay how much will she be

JulijaS [17]

The amount she will pay is $141.

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3 years ago

A rectangle has a length 6 more than it's width if the width is decreased by 2 and the length decreased by 4 the resulting has a

Rashid [163]

Answer:

Length of original rectangle: 11 units.

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

$\text{Perimeter of new rectangle}=20$

Step-by-step explanation:

Let x represent width of the original rectangle.

We have been given that a rectangle has a length 6 more than it's width. S the length of the original rectangle would be $x+6$ .

We have been given that when the width is decreased by 2 and the length decreased by 4 the resulting has an area of 21 square units.

The width of new rectangle would be $x-2$ .

The length of new rectangle would be $x+6-4=x+2$ .

The area of new rectangle would be $(x+2)(x-2)$ .

Now we will equate area of new rectangle with 21 and solve for x as:

$(x+2)(x-2)=21$

Applying difference of squares, we will get:

$x^2-2^2=21$

$x^2-4=21$

$x^2-4+4=21+4$

$x^2=25$

Since width cannot be negative, so we will take positive square root of both sides.

$\sqrt{x^2}=\sqrt{25}$

$x=5$

Therefore, the width of original rectangle is 5 units.

Length of the original rectangle would be $x+6\Rightarrow x+5=11$ .

Therefore, the length of original rectangle is 11 units.

$\text{Area of original rectangle}=5\times 11$

$\text{Area of original rectangle}=55$

Therefore, area of the original rectangle is 55 square units.

Now we will find ratio of the original rectangle area to the new rectangle area as:

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

We know that perimeter of rectangle is two times the sum of length and width.

$\text{Perimeter of new rectangle}=2((x+2)+(x-2))$

$\text{Perimeter of new rectangle}=2((5+2)+(5-2))$

$\text{Perimeter of new rectangle}=2(7+3)$

$\text{Perimeter of new rectangle}=2(10)$

$\text{Perimeter of new rectangle}=20$

Therefore, the perimeter of the new rectangle is 20 units.

7 0

3 years ago

Express x in terms of a and b:<br> b−7x=a−b

quester [9]

Answer:

Step-by-step explanation:

b - 7x = a - b....subtract b from both sides

-7x = a - b - b....combine like terms

-7x = a - 2b....divide both sides by -7

x = (a - 2b) / -7....or it could be written as x = -1/7a + 2/7b

3 0

3 years ago