All categories

2 years ago

A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?

Mathematics

1 answer:

kotykmax [81]2 years ago

4 0

Answer:

$\huge\boxed{y-4=8(x+6)}$

Step-by-step explanation:

The equation of a line in the point-slope form:

$y-y_1=m(x-x_1)$

$m-slope\\\\(x_1;\ y_1)-point$

We have:

$m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4$

Substitute:

$y-4=8(x-(-6))\\\\y-4=8(x+6)$

You might be interested in

Isabelle bought 12 bottles of water at $2 each

skad [1K]

$24, 2 Times 12 = 24

6 0

4 years ago

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math

NISA [10]

Answer: $A=\frac{14}{9}\cdot \sqrt{2}\ unit^2$

Step-by-step explanation:

Given

Two curves are given

$y=10 x^2$

and $y=x^2+2$

the two curves intersect at

$10x^2=x^2+2$

$x=\pm \frac{\sqrt{2}}{3}$

to get the we need to integrate the curves over x axis

$A=\int_{-\frac{\sqrt{2}}{3}}^{\frac{\sqrt{2}}{3}}\left ( x^2+3-10x^2\right )dx$

$A=2\int_{0}^{\frac{\sqrt{2}}{3}}\left ( 3-9x^2\right )dx$

$A=2\left [ 3\left ( \frac{\sqrt{2}}{3}\right )-\frac{9}{3}\left ( \frac{\sqrt{2}}{3}\right )^3\right ]$

$A=2\sqrt{2}\left [ 1-\frac{2}{9}\right ]$

$A=\frac{14}{9}\cdot \sqrt{2}\ unit^2$

3 0

3 years ago

F(x) = 3x + 5, g(x) = 6x2 Find (fg)(x).

shepuryov [24]

Answer:

18x² + 5

Step-by-step explanation:

To evaluate f(g(x)), substitute x = g(x) into f(x)

f(g(x))

= f(6x²)

= 3(6x²) + 5

= 18x² + 5

4 0

4 years ago

The table above shows the number of hours that Robin worked each week for 5 weeks. What would be the number of hours Robin worke

ELEN [110]

Robin would have worked a total of 10 days!!! Hope this helps :) :) :)

8 0

3 years ago

PLS I NEED HELPPPPP

wolverine [178]

The initial is 21 and the rate of change is the slope so it would be 6

6 0

3 years ago