-9/4 v + 4/5 = 7/8 v=? step by step need help asap please

1 answer:

4 0

-9/4v + 4/5 = 7/8; First, you subtract 4/5 from each side to have variable v on a side and numbers on the other: -9/4v = 7/8 - 4/5; -9/4v = 35/40 - 32/40; -9/4v = 3/40; Then you divide each side to get the variable v alone on a side, and one number on the other: V= (3/40) / (-9/4); Dividing to fractions is equal to multiplying the first one by the inverse of the second: V= (3/40) * (-4/9); V= -12/360; V= -1/30; You can re-check your answer (very important): (-9/4)*(-1/30)+4/5=7/8; The answer has been approved. Hope this helps! :)

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Answer:

$-\frac{1}{2} \vec {c}$

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because $\frac{4}{4}=1=\frac{-2}{-2}$

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that $k \vec{c} = \vec {d}$ , or equivalently, $kc_x=d_x$ and $kc_y=d_y$ .