To find the midpoint of line FG, we have to use the following midpoint formula , which is
In the given question,
x1= -5, y1= -3 , x2=-3, y2=3
Substituting the values of x1,y1,x2 and y2 in the formula of the midpoint, we will get
So the midpoint of the given line is (-4,0) and hence the correct option is the first option .
Answer: q = 40
Step-by-step explanation:
Given the quadratic formula as
x = [-b +/-√(b^2 -4ac)]/2a
b = -14
a = 1
c = q
Difference d between the two roots.
d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a
d = 2√(b^2 -4ac)/2a
d = √(b^2 -4ac)/a
And d = 6
Substituting the values of a,b and c. We have;
6 = √[(-14^2) - (4×1×q)]
Square both sides
6^2 = 196 - 4q
4q = 196 - 36
q = 160/4
q = 40
The equation becomes
x^2 - 14x + 40 = 0
Answer:
To solve an exponential equation, take the log of both sides, and solve for the variable.
Step-by-step explanation:
Example 1: Solve for x in the equation tex2html_wrap_inline119 .
Solution:
Step 1: Take the natural log of both sides:
displaymath121
Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:
displaymath123
Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads
displaymath127
Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..
Check: Check your answer in the original equation.
displaymath131
Answer: 0.02 per year
Step-by-step explanation:
When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:
= per capita birth rate - per capita death rate
= 0.11 - 0.09
= 0.02/year
= 2% per year
Answer:
62 and 56 or 59 and 59
Step-by-step explanation:
62, 62, 56
or
62, 59, 59
