Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
9x+7y=4
7y = - 9x + 4
y = -9x/7 + 4/7
Comparing with the slope intercept form, slope = - 9/7
If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (7,-4) is 7/9
To determine the intercept, we would substitute m = 7/9, x = 7 and y = -4 into y = mx + c. It becomes
- 4 = 7/9×7 + c = 49/9 + c
c = - 4 - 49/9 = -85/9
The equation becomes
y = 7x/9 - 85/9
Answer:
x⁷ = 60
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>
- The expotential equation .
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
Given logarithmic equation is ,
⇒ log x⁵ + log x ¹² = 7
⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]
⇒log x ⁶⁰ = 7
In expotential form we can write it as ,
⇒ x⁷ = 60
Answer:
Average rate of change = 1
Step-by-step explanation:
Average rate of change of a function between x = a and x = b is defined by,
Average rate of change = 
We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4
Therefore, average rate of change of the function = 
From the graph attached,
f(4) = 4
f(2) = 2
Average rate of change = 
= 1
Therefore, average rate of change of the function in the given interval is 1.
Answer:
Step-by-step explanation:
For pi i use the estimate 3.14
First find the radius of the sphere using the formula circumference= pi * diameter 
then divide both sides of the equation by d to get the diameter, which is about 86.94.
To get the radius, divide the diameter by 2, which equals 43.47.
Use the formula 
to get the surface area, which is, rounded to the nearest number, is 23,734 feet
