Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
If
denotes the sum of the first
terms of a geometric series with first term
and common ratio
, then
Using summation notation, you have
In this case, you have
,
, and
. So the value of the sum is
Rounded to the nearest whole number, the answer would be 3.
7 is a base, 4 is an exponent.
Answer:
B
Step-by-step explanation:
Answer:
About 23.9 in
Step-by-step explanation:
We are given ;
a circle whose radius is 3.8 inches
we are required to determine the circumference
The circumference is given by the formula;
=2πr
Therefore;
Circumference = 2×3.14×3.8 in
=23.864 in
= 23.9 in
Therefore, the circumference of the figure is about 23.9 in
