3 years ago

Point A (-6, 2) and B (4, k) lie on a line that has a slope of 3/5 Determine the value of K

Mathematics

1 answer:

____ [38]3 years ago

8 0

Answer:

k=8

Step-by-step explanation:

We can solve using the slope formula

m= (y2-y1)/(x2-x1)

3/5 = (k-2)/(4- -6)

3/5 = (k-2)/(4+6)

3/5 = (k-2)/10

Multiply each side by 10

10*3/5 = (k-2)/10 *10

6 = k-2

Add 2 to each side

6+2 = k-2+2

8 = k

You might be interested in

What attribute must be present for a quadrilateral to also be a trapezoid?

konstantin123 [22]

Answer:

At least two of the opposite sides must be parallel.

Step-by-step explanation:

In the picture below, the segment AB must be parallel to the segment DC so that the figure can be called a trapezoid.

3 0

3 years ago

Read 2 more answers

What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. -6,-3 6,-7

-BARSIC- [3]

The answer is at the bottom hope this helps

7 0

3 years ago

Read 2 more answers

Identify the factors of 9x^2+24x+16

Goryan [66]

Hi friend,

This is a perfect square trinomial.

It can be recognised because it is of the form:

a^2−2ab+b^2=(a−b)^2

with a=3x and b=4

9x2−24x+16=(3x)2−(2⋅(3x)⋅4)+42

=(3x−4)2

6 0

3 years ago

Find the first three terms of the sequence below n² – n + 4

sergejj [24]

Answer:

First three terms of given sequence are

9, 13, 17

Step-by-step explanation:

3 0

3 years ago

A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if

Yakvenalex [24]

Answer:

The area of a label is $62.8\ in^{2}$

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

$LA=2\pi rh$

we have that

A can is 4 inches wide

The diameter of the can is 4 inches

$r=4/2=2\ in$ ----> the radius is half the diameter

$h=8-3=5\ in$ ----> height of the label

substitute in the formula

$LA=2(3.14)(2)(5)=62.8\ in^{2}$

5 0

3 years ago