Answer: 4
The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given
Flip the sign to get -1/4 turn into +1/4 or just 1/4
Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.
Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.
Answer:
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For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get
x^2-12x+45
___ ________________________
x+1 | x^3-11x^2+33x+45
- (x^3+x^2)
_________________________
-12x^2+33x+45
- (-12x^2-12x)
______________
45x+45
-(45x+45)
___________
0
Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
Ok so you know the first garden needs 1 and 2/5 bags of soil. Now first we need to find one fifth of that. So let's make this mied number into an improper fraction:
1 2/5 = 7/5
Ok now let's divide 7/5 by 5:
7/5 divided by 5/1 = 7/25
So Jared will need 7/25 bags of soil for his second garden, but we're STILL not done. now we have to add for the TOTAL.
1 2/5 + 7/25 > 7/5 + 7/25 > 7 x 5 = 35 > 35/25 + 7/25 = 42/25
_________
5x 5 = 25
Now let's simplify it to 1 and 17/25
Answer:
X=22
Step-by-step explanation:
All the angles in every triangle must add up to 180 so we can subtract 23 and 135 from 180 to get 22.
