Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em>
</em> when 
<em>, </em>which translates as
This tells us that 
varies by a factor (lets call it) 
for a given value of 
.
To find this factor we can just divide 45 with 9 which gives: 
Thus the factor here is 
which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for 
and solve for 
as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15
- The Midpoint of AB is (1,0).
Given that:
- In line AB, where the coordinates of A is (3,1) and coordinates of B is (-1,-1).
To find:
So, according the question
We know that,
The midpoint M of a line segment AB with endpoints A (x₁, y₁) and B (x₂, y₂) has the coordinates M ( 
).
Now from question,
We know that the the coordinates of A is (3,1) and coordinates of B is (-1,-1) of line AB.
So, we can say that
A is (3,1) or x₁ = 3 and y₁ = 1.
B (-1,-1) or x₂ = -1 and y₂ = -1.
∵ The coordinates of midpoint M (X,Y)
X = 
= 
= 2/2
X = 1.
And
Y = 
= 
= 0/2
Y = 0.
So, the midpoint of line AB is M (1,0)
To learn more about Midpoint of line, please click on the link;
brainly.com/question/14687140
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Answer:
y=0
Step-by-step explanation:
The equation for the slope is
m = ( y2-y1)/(x2-x1)
-2 = (4-y)/(1-3)
-2 = (4-y)/-2
Multiply each side by -2
4 = 4-y
Subtract 4 from each side
4-4 = 4-y-4
0 = -y
0=y
Answer:
$22.34
Step-by-step explanation:
24 pennies is .24 of a dollar
62 nickels will be: (62 x 5) / 100 = 3.10
55 dimes is 5.5
16 quarters will be 4.0
19 fifty-cents will be 9.5
Add them up to get $22.34 if I’m right.
Hope this helped.
$36,000,000 is 40% of $90,000,000. Hope it helps!
