X=number of corect
y=number of incorrect
5 points for each correct so 5x
-1 point for each incorrect so -y
5x-y=76
solve for x and y
I like putting it into slope intercep tofrm which is y=mx+b
add y to both sides
5x=76+y
subtract 76 from both sides
5x-75=y
y=5x-76
subsitute values for x and get values for y
remember, that julia cannot answer a negative number of incorrect questions so y must be greater than or equal to 0
so solve for minimum
0<u><</u>5x-76
add 76 to both sides
76<u><</u>5x
divide by 5
15.2<u><</u>x
you cannot answer a fraction of a correct quesiton so round up
16 is the minumum number of queswtions correctlyh answered
so
x<u>></u>16
subsitute 16 for x
y=5(16)-76
y=80-76
y=4
as we subsitute more numbers over 16, we get these points
so (x,y)
(16,4)
(17,9)
(18,14)
(19,19)
(20,24)
(21,29)
(22,34)
(23,39)
x=correct answer
y=wrong answers
We can use a trig function to find the measure of angle T.
tan(T) = 18/13
Take the archtangent on both sides since we are searching for an angle.
arctan(tan T) = arctan(18/13)
T = 54.16°
The measure of angle T is 54.16°.
Right triangle means:
sin, cos, and tangent
Here, we can see that:
sin 35° =
Simplify.
20sin 35° = x
Multiply 20 by sin of 35 degrees.
x = 11.47(ROUNDED)
Answer: Choice C
Pythagorean Theorem- A^2+B^2=C^2
1) 6^2+9^2= x^2
2) 36+81= 117
Square root 117 =10.82
Hope this helped :)
You would most likely choose the purple one the answer is A and perimeter is 8
