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3 years ago

How do you find the slope of a point line function !

1 answer:

3 0

To find the slope of a function written in point-slope form, we must first know what point slope form is. Point slope form is:

y - y₁ = m[x - x₁]

In this function, m is the slope, so the find the slope of a point-slope line function, we just have to look at the value right outside the parenthesis on the right side of the equation.

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Show all work to receive credit.

Helga [31]

Answer:

angle 1= 70 degrees

angle 2= 65 degrees

angle 3= 65 degrees

angle 4 = 115 degrees

angle 5= 45 degrees

angle 6= 45 degrees

angle 7= 45 degrees

Step-by-step explanation:

8 0

3 years ago

Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

3 years ago

Read 2 more answers

Find the value of this expression if x=9 x2 + 6 / x - 6

GREYUIT [131]

Answer:

87/3

Step-by-step explanation:

Here we are given the expression:

$\frac{x^{2}+6}{x-6}$

Now we have to find the value of this expression when x equals 9.

So plugging the value of x as -9 in the given expression:

$\frac{x^{2}+6}{x-6}$

$=\frac{(9)^{2}+6}{9-6}$

=87/3

So on evaluating we get the value of expression as 87/3.

3 0

3 years ago

Read 2 more answers

What does the ordered pair (6, 204) represent in this situation?

maxonik [38]

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

8 0

3 years ago

A race car game takes 6 points from a player each time the player hits a cone. What integer represents the change in total point

Helga [31]

Given:

A race car game takes 6 points from a player each time the player hits a cone.

To find:

The integer which represents the change in total points if the player hits 10 cones.

Solution:

According to the given information,

1 hit = -6 points

Here, negative sign represents the reduction in points after hitting a cone.

If the player hits 10 cones.

(1 × 10) hit = (-6 × 10) points

10 hit = -60 points

So, the change in total points if the player hits 10 cones is -60.

Therefore, the required integer is -60.

3 0

3 years ago