All categories

3 years ago

Of

Mathematics

1 answer:

seraphim [82]3 years ago

5 0

Answer:

Step-by-step explanation:

The formula to find the x coordinate is

$x=\frac{bx_1+ax_2}{a+b}$ where x1 and x2 come from the coordinates of J and K, and a = 2 (from the ratio) and b = 5 (from the ratio). Filling in:

$x=\frac{5(-6)+2(8)}{2+5}=\frac{-30+16}{7}=\frac{-14}{7}=-2$

Your choice is B

You might be interested in

(3x+15) (6x+3) m<1 is

Allisa [31]

Answer:

x = 4

Step-by-step explanation:

Simplifying

3x + 15 = 6x + 3

Reorder the terms:

15 + 3x = 6x + 3

Reorder the terms:

15 + 3x = 3 + 6x

Solving

15 + 3x = 3 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

15 + 3x + -6x = 3 + 6x + -6x

Combine like terms: 3x + -6x = -3x

15 + -3x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0

15 + -3x = 3 + 0

15 + -3x = 3

Add '-15' to each side of the equation.

15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0

0 + -3x = 3 + -15

-3x = 3 + -15

Combine like terms: 3 + -15 = -12

-3x = -12

Divide each side by '-3'.

x = 4

Simplifying

x = 4

8 0

2 years ago

Add the expressions 4 - 2/3b+ 1/4a and 1/2a + 1/6b - 7. What is the simplified sum?

klasskru [66]

Answer:

$\frac{3}{4}a-\frac{1}{2}b-3$

Step-by-step explanation:

Given the expressions: $4 -\frac{2}{3}b+\frac{1}{4}a $ and $ \frac{1}{2}a + \frac{1}{6}b - 7.$

We add:

$4 -\frac{2}{3}b+\frac{1}{4}a + \frac{1}{2}a + \frac{1}{6}b - 7\\\\$First, we reorder the terms$\\\\=4 - 7-\frac{2}{3}b+ \frac{1}{6}b+\frac{1}{4}a + \frac{1}{2}a \\\\=-3+(\frac{1}{6}-\frac{2}{3})b+(\frac{1}{4}+\frac{1}{2})a\\\\=-3-\frac{1}{2}b+\frac{3}{4}a\\\\=\frac{3}{4}a-\frac{1}{2}b-3$