That slope appears to be 4/6 or 2/3.
The perpendicular slope will have the opposite sign and be the reciprocal.
The perpedicular slope is –3/2.
Subtract 5 to both sides so that the equation becomes -2x^2 + 6x - 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -6 ± √((6)^2 - 4(-2)(-1)) ] / ( 2(-2) )
x = [-6 ± √(36 - (8) ) ] / ( -4 )
x = [-6 ± √(28) ] / (-4)
x = [-6 ± 2*sqrt(7) ] / (-4 )
x =3/2 ± -sqrt(7)/ 2
The answers are 3/2 + sqrt(7)/2 and 3/2 - sqrt(7)/2.
Answer:
18
Step-by-step explanation:
Look at all factors of 9 that are even; 18, 36, 54, 72, 90
Next divide 198 by those numbers and the only whole number is from 18.
9 x 2 = 18
198/18 = 11
Answer:
The bus drives 84 miles
Step-by-step explanation:
The question relates to relationship between average speed and time
The given parameters are;
The time duration in which the bus drives = 3/2 hours = 1.5 hours
The average speed of the bus = 56 mph
The formula average speed is given as follows;

Therefore, we have;
The total distance driven = Average speed × The time duration of travel
The total distance driven = The distance the bus drives
Substituting the given values, gives;
The distance the bus drives = 56 miles/hour × 1.5 hours = 84 miles
The distance the bus drives = 84 miles.
Let's say that y is the weight of the mother and x is the weight of the baby.
We know that the baby is 7437 pounds less than the mother, which means you need to add 7437 pounds to the baby's weight to get the mother's.
We can show it like this:
x+7437=y.
We know what the baby's weight is (1400 lbs), so just sub it in:
1400+7437=y
y=8837 lbs
The mom weighs 8837 pounds.