we know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is 
for an input value equal to 
the output value for both functions is 
therefore
<u>the answer is the option</u>
X= 4
So the first 20 boxes at 4.45 a piece will total 89.
The next 25 at 4 each will be 100.
Add those and you have 189 dollars, which is a spare of 45.
45/3.75 = 12 .
So the answer is 57
First, find the slope between the two points.
Slope = y2-y1 / x2-x1
-4+3/ -12+9
-1/-3
1/3 is the slope of this equation.
You do not have to go any further to find b or the y-intercept because it appears that b or the y-intercept is 0 in this case.
y= 1/3x or in other words y= x/3
I'm assuming that the full statement is ΔABC is congruent to ΔDEF.
Given:
m∠A = 70
m∠B = 47
m∠C = 63
Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.
m∠D = 70
m∠E = 47
m∠F = 63
The measure of angle F is 63.
Answer:
A, (1, 3+1/2)
Step-by-step explanation:
Midpoint formula for reference: m= {(x1 + x2)/2, (y1 + y2)/2}
Plugging in the points we get: m= {(8 - 6)/2, (5 + 2)/2}
Now we simplify using PEMDAS. First step is parentheses.
m= {2/2, 7/2}
Simplifying again (and making 7/2 a mixed number), it becomes
m= {1, 3+1/2}
Hope this helps!
