All categories

3 years ago

What is the slope of the line?

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

The slope of the line is

$\frac{2}{3}$

Step-by-step explanation:

Remember:

$slope = \frac{rise}{run}$

You might be interested in

Express it in slop-intercept form

prisoha [69]

Answer:

y = ½x -3

Step-by-step explanation:

_____________________

5 0

3 years ago

What value of y makes y/4=1.3/2 a proportion

meriva

Answer:

y=2.6

Step-by-step explanation:

y/4=1.3/2

cross product

4*1.3=y*2

5.2=2y

y=5.2/2

y=2.6

7 0

2 years ago

Help with this one!!!<br><br><br> Show steps pls :)

olga2289 [7]

Answer: $29.38

Step-by-step explanation:

To calculate a tax of a dollar value, use this formula:

[original dollar value] * [tax percentage] = [tax]

Your original dollar value is $734.50, and your tax percentage is 4%.

734.5 * 0.04. Brett will pay $29.38 in tax.

8 0

3 years ago

Read 2 more answers

A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

HACTEHA [7]

Answer:

$-\frac{1}{2}y^2-4y+1=x$

Step-by-step explanation:

A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

General form of horizontal parabola is

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

the distance between directrix and focus is the value of p

so p = 8.5 - 9.5 = -0.5

Focus is (h+p , k), given focus is (8.5, -4)

So k = -4 and h+p = 8.5

we know p = -0.5

h +p = 8.5

h - 0.5 = 8.5

so h= 9 and k = -4

vertex is (h,k) that is (9, -4)

Now plug in the value in the general equation

$(y-k)^2=4p(x-h)$ , k= -4, h= 9 , p = -0.5

$(y+4)^2=4(-0.5)(x-9)$

$(y+4)^2=-2(x-9)$

$y^2+8y+16=-2x+18$

subtract 18 on both sides

$y^2+8y-2=-2x$

Divide whole equation by -2

$-\frac{1}{2}y^2-4y+1=x$

4 0

3 years ago

Multiply the binomial and the trinomial. <br> (x-2)(x^2+2x+4)

malfutka [58]

Answer:

Step-by-step explanation:

To solve this problem, we need to multiple $x$ and -2 by $x^{2} + 2x + 4$ and add the results together:

$x(x^{2} + 2x + 4)$

$x^{3} + 2x^{2} + 4x$

$-2(x^{2} + 2x + 4)$

$-2x^{2} - 4x - 8$

Adding the two together give the following:

$(x^{3} + 2x^{2} + 4x) + (-2x^{2} - 4x - 8)$

$x^{3} - 8$

7 0

3 years ago