X^2 - 7x + 12 = 0
x^2 - 4x - 3x + 12 = 0
x (x - 4) -3 ( x - 4) = 0
(x - 4) (x - 3) = 0
x = 3 , 4
Check the answer by plugging in 3 and 4 for x, if the equation equals zero then you have your answer.
Answer:
here's how you can factor it:)
Step-by-step explanation:
=6x+9
=(x+3)(x+3)
x= -3
Complete Question
Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?
Answer:
88 new pens
Step-by-step explanation:
The ratio of new pens : Old pens = 4:7
Sum of Proportion = 4 + 7 = 11
Total number of pens = 242 pens
The number of new pens is calculated as:
4/11 × 242 pens
= 88 new pens
Therefore, the number of new pens = 88 new pens
Answer:
D from A = 34 miles
Step-by-step explanation:
We know the total distance is 200 miles (this would be when they meet)
The rate for cyclist A is 17
The rate for cyclist B is 83
We know the time is equal
Distance = rate * time
Distance for A = 17t
Distance for B = 83 t
The total distance = distance for A + distance for B
200 = 17t + 83t
Combine like terms
200 = 100t
Divide each side by t
200/100 = 100t/100
They will meet at t =2 hours
I know you say we need the distance
Distance for A
D = 17*t
We now know t
D = 17*2
D = 34 miles
Answer:
6.7 units
Step-by-step explanation:
The shortest distance between two lines is the perpendicular line.
y = 2x + 3
Slope of the perpendicular line: - 1/2
Point (-5,8)
b (y-intersect) = 8 - (-1/2)(-5) = 11/2
Perpendicular line equation: y = -1/2x + 11/2
y = y
2x +3 = -1/2x + 11/2
2x + 1/2x = 11/12 - 3
5/2x = 5/2
x = (5/2) / (5/2)
x = 1
Plug x = 1 into any of the equations of the line to find y.
y = 2x + 3
y = (2*1)+3 = 5
Points from the perpendicular line (1,5) and (-5,8)
Distance between these two points:
d = sqrt[(-5-1)^2 + (8-5)^2]
= sqrt (6^2 + 3^2) = sqrt 45
= 6.7
