-11 2/3 -(-4 1/5) = -11 2/3 + 4 1/5. Now, we need to find the LCM of 3 and 5. The LCM of 3 and 5 is 15 because 15 is the lowest number that can divide both 3 and 5 separately and both results will still be whole numbers.

Now, we have -11 10/15 + 4 3/15.

-11 10/15 + 4 3/15 = -7 7/15.

4 0

3 years ago

A line passes through (-9,-5) and (2,-4)

zlopas [31]

The point-slope form of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-9, -5) and (2, -4). Substitute:

$m=\dfrac{-4-(-5)}{2-(-9)}=\dfrac{1}{11}\\\\y-(-5)=\dfrac{1}{11}(x-(-9))\\\\\boxed{y+5=\dfrac{1}{11}(x+9)}\leftarrow\boxed{\text{point-slope form}}$

The standard form of a line:

$Ax+By=C$

$y+5=\dfrac{1}{11}(x+9)$ multiply both sides by 11

$11y+55=1(x+9)$

$11y+55=x+9$ subtract 9 from both sides

$11y+46=x$ subtract 11y from both sides

$46=x-11y$

$\boxed{x-11y=46}\leftarrow\boxed{\text{standard form}}$

5 0

3 years ago

Renee recently traveled with her family in their mini van. She sat in the backseat for the first half of the trip. Then she rode

viva [34]

Answer:

1.75 hours

Step-by-step explanation:

7÷4=1.75

7 0

3 years ago

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