A/2-b/3=1 solve for a, add b/3 to both sides
a/2=1+b/3 which is equal to
a/2=(3+b)/3 multiply both sides by 2
a=(6+2b)/3 now you can substitute this into 2a+3b giving you:
2(6+2b)/3 + 3b which is equal to
(12+4b+9b)/3
(13b+12)/3
5/4
as 1.00/0.80 = 100/80
and then when you simplify it the answer would be 4/5.
Answer:
176 words
Step-by-step explanation:
1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:
<u>44 words</u> = <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>x</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
1 minutes = 4 minutes
2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.
3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!
4) multiplying 44 by 4 would get us our answer which is 176
im not the best at math but i this explanation helped <33
Answer:
Step-by-step explanation:
Since there exists a scalar
λ
λ
(namely
λ=a⋅b
λ=a⋅b
) such that
b=λa
b=λa
, the directions of the two vertices are the same (they are collinear). This implies that
|a⋅b|=|a||b|
|a⋅b|=|a||b|
.
So,
|a|=|(a⋅b)b|=|a||b||b|
|a|=|(a⋅b)b|=|a||b||b|
which implies that
|b|=1
|b|=1
Answer:
The second and fourth option
Step-by-step explanation:
In order for two lines to be perpendicular they must intercept each other and their slope must be the opposite inverse; ex:
the negative inverse is 4 (multiplying by -1 and flipping the fraction)