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2 years ago

Find the slope and y-intercept of a line through the points (-3, -4) and (0, -1).

Mathematics

2 answers:

KonstantinChe [14]2 years ago

8 0

I have the same question 37377 not the

lions [1.4K]2 years ago

7 0

Answer:

The slope is 1 and the y-intercept is -1.

Step-by-step explanation:

$\frac{y{2} }{x[2] } -\frac{y_{1} }{x_{1} }$

Then plug in the numbers:

$\frac{-1}{0} -\frac{-4}{3}$

And then solve it: you'll get $\frac{3}{3}$ = 1.

And the y-intercept is -1.

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What’s the inverse of the function f(x) = 2x - 10

erastovalidia [21]

The answer is: " f ⁻¹(x) = $\frac{x}{2}$ + 5 " .
____________________________________________________

Explanation:
____________________________________________________

Given the function: " f(x) = 2x − 10 " ; Find the "inverse function" .

Let "f(x)" be represented by "y" ; and rewrite:

y = 2x − 10 ;

Change the "y" to an "x" ; and change to "x" to a "y" ; as follows:
___________________________________________________
x = 2y − 10 ;

Now, rewrite this equation, in "slope-intercept form"; that is; "y = mx + b" ;

To do this, start by solving THIS equation for "y"; in terms of "x" ; with "y" as an "isolated variable" on the "left-hand side" of the equation;
___________________________________________________
We have:
___________________________________________________
" x = 2y − 10 " ;

Add "10" to each side of the equation; as follows:

x + 10 = 2y − 10 + 10 ;

to get:

x + 10 = 2y ;

↔ 2y = x + 10 ;

Now, divide each side of the equation by "2" ;
to isolate "y" on one side of the equation (as a single variable);
& to solve for "y" ;

→ 2y / 2 = (x + 10) / 2 ;

to get:

→ y = (x/2) + (10/2) ;

→ y = (x/2) + 5 ;

Now, rewrite the equation, by substituting: " f ⁻¹(x) " ; in place of the "y" ; to indicate that this function is an "inverse function; as follows:

→ " f ⁻¹(x) = $\frac{x}{2}$ + 5 " .
______________________________________________________

The answer is: " f ⁻¹(x) = $\frac{x}{2}$ + 5 " .
_______________________________________________________

8 0

3 years ago

Read 2 more answers

Use structure find the perimeter of equilateral triangle klm given the vertices k(-2, 1) and m(10, 6).

Deffense [45]

Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

As given in the question,

Coordinates of vertices K(-2,1) and M(10,6)

KM = $\sqrt{ (10-(-2)^{2} +(6-1)^{2} }$

= $\sqrt{12^{2}+5^{2} }$

= 13units

In equilateral triangle KL = LM = KM = 13 units

Perimeter of equilateral triangle KLM = 13 +13 +13

= 39 units

Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

Learn more about perimeter here

brainly.com/question/6465134

#SPJ4

4 0

1 year ago

Please help me thnk you

kramer

For this question, we use the Pythagorean theorem.

$a^2+b^2=c^2$

We know the lengths of the legs, a and b.
$a=3$
$b=4$

Now, let's solve for the hypotenuse, c.

$3^2+4^2=c^2$
$25=c^2$

Take the positive square root.

$\boxed{c=5}$

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

Find (a) the slope of the curve at the given point p, and (b) an equation of the tangent line at p. y=−2−9x2; p(2,−38)

Neporo4naja [7]

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

f'(2) = -18·2 = -36

___

b) The point-slope form of the equation can be written as ...

y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

y = -36x +34

6 0

3 years ago

I'LL WON'T BE OFFEND IF U DON'T HELP ME WITH THIS

Evgesh-ka [11]

The average is found by adding the numbers and dividing by 2.

Since the average is 17, the total of the two numbers must equal 17 x 2 = 34.

One number is given as 11, so subtract 11 from 34:

34 - 11 = 23

The other number is 23.

Too check: add 11 and 23 and then divide by 2:

11 + 23 = 34

34/2 = 17.

5 0

3 years ago

Read 2 more answers