y=-x
slope for perp line = 1
2y=-x+6
y=-1/2x +3
slope for perp line = 2
15.
i don’t wanna do all sorry it’s a lot of work so i’ll tell u how to do it instead. first write it in slope intercept form which is
y-y1=m(x-x1)
it’s parallel which means it shares the same slope. if it’s perpendicular it would be opposite reciprocals so for -3/2 the perp slope would be 2/3.
the line is
y+1=3/4(x-4)
we distribute the 3/4 so it’s now
y+1=3/4x-3
then we subtract the 1
y=3/4x-4 is the equation boom done
x+2 > 10 solves to x > 8 after we subtract 2 from both sides
So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.
Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.
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Summarizing everything, we can say...
5 is not in set A. True
5 is in set B. False
6 is in set A. False
6 is not in set B. False
8 is not in set A. True
8 is in set B. True
9 is in set A. True
9 is not in set B. False
For solving this question we will use the relationship between the range of data and the spread of data. The relationship is that "Higher the Range of the Data, Higher is the Spread and lower the range of the data then lower is the spread".
So, keeping in mind this definition let us proceed and check each option and measure their range.
We know that Range is measured as
Range=(Highest Value of the Data)-(Lowest Value of the Data)
a. 13.7-3.1=10.6
b. 423.6-1.3=422.3
c. 38.4-7.2=31.2
d. 231.4-5.5=225.9
As we can see Option b. has the largest range and as range is a measure of spread then option b is the distribution which has the largest spread.
Answer:
Step-by-step explanation:
-6x²+15x+9=0
divide by -3
2x²-5x-3=0
2x²+x-6x-3=0
x(2x+1)-3(2x+1)=0
(2x+1)(x-3)=0
either x=-1/2
or x=3
Answer:
X=20
Step-by-step explanation:
Sin(x+20)=cos(2x+10)
Sin(x+20)=sin(90-(2x+10)
X+20=90-2x-10
3x=60
X=20
