Answer:
y=-2x + 8 which is the required equation
Which is option C
Step-by-step explanation:
Given:
Slope = m = -2
Given points are ( -2,12)
Which is
x = -2 and y =12
TO find:
Equation of line passing through these points = ?
Solution:
The point slope form of a line is
y = mx + c
Here we don't know the value of c
To find it
Putting y = 12 , x= -2 and y = -2 in the given equation
y = mx + c
Putting values it becomes
12 = (-2)*(-2) + c
12 = 4 + c
Subtracting 4 from both sides
12-4 = 4 -4 + c
8 = c
Now we have
m = -2 and c= 8
So equation of a line is given by
y = mx + c
Putting value of m and c
y = -2*x + 8
y=-2x + 8 which is the required equation
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
<h3>How to determine the instantaneous rate of change of a given function</h3>
The <em>instantaneous</em> rate of change at a given value of 
can be found by concept of derivative, which is described below:
Where 
is the <em>difference</em> rate.
In this question we must find an expression for the <em>instantaneous</em> rate of change of 
if 
and evaluate the resulting expression for 
. Then, we have the following procedure below:
Now we evaluate 
for :
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. 
To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037
Answer:3.6
Step-by-step explanation:
9514 1404 393
Answer:
$10,308.92 interest earned
Step-by-step explanation:
The account balance is given by ...
A = P(1 +r/12)^n
where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...
A = $35,000(1 +0.0972/12)^32 = $45,308.92
The interest earned is the excess of the balance over the original investment:
interest = $45,308.92 -35,000 = $10,308.92
Answer:
m<F=50
Step-by-step explanation:
complementary angles mean that together they equal 90, we need to set up an equation to find x, and then put x into angle F to find its measurement :)
m<C+m<F=90
(2x+10)+(x+35)=90
calculate to find x!
x=15
now we put 15 into (x+35)
15+35=50
hope this helps!! :D
