Answer:
Step-by-step explanation:
The story tells us that Boa drove from the Dead Sea up to Jerusalem. With the data provided, we can assume a linear relationship between altitude and the number of hours. We are given two key data: one point and the rate of change (or slope).
We can easily find the equation of a line with slope m passing through a point (a,b) by using the formula
In this case, y is the altitude above sea level, and x is the number of hours of driving
The value of m is 740 meters/hour and the known point is x=1.5 hours, y=710 meters. Using these values
Answer:
6 units
Step-by-step explanation:
Area of rectangle=L*W
L=w+3,w(w+3)
w^2+3w-54=0
W=6
Answer:
26 ft
Step-by-step explanation:
10 + 3 + 10 + 3 = 26
Answer:
Same side interior angles
They are also supplementary (add up to 180 deg)
Step-by-step explanation:
see attached
Answer:
Step-by-step explanation:
x² + 6x - 4 = 0
Add 4 to both sides
x²- 6x = 4
Take the coefficient of x and divide it by 2. 6 ÷ 2 = 3
Now square the number that we got after dividing by 2. 3² = 9
Add 9 to both side of the equation.
x² - 6x + 9 = 4 + 9
x² - 6x + 9 = 13
{ This is in a² - 2ab + b² form}
x² - 2*x *3 + 3² = 13
(x - 3)² = 13
To find the solution, take square root
x -3 = √13
x - 3 = ± 3.61
x = 3.61 +3 ; x = -3.61 + 3
x = 6.61 ; x = -0.61
2)x² - 10x + 14 = 0
x² - 10x = -14
x² - 10x + 25 = -14 + 25
x² - 2*x*5 + 5² = 11
(x - 5)² = 11
Solution
x - 5 = √11
x - 5 = ±3.32
x = 3.32 +5 ; x = -3.32 + 5
x = 8.32 ; x = 1.68
x = 8.32
