The slope is -1 as picking any two points, and finding (y2-y1)/(x2-x1)=-1
X+y=24 so we can say
x=24-y making 3x+5y=100 become
3(24-y)+5y=100
72-3y+5y=100
72+2y=100
2y=28
y=14, since x=24-y
x=10
So there are 10 3-point questions and 14 5-point questions.
Answer:
Step-by-step explanation:
It really depend what number, or what type of number you are multiplying, it's kind of like multiplication you're just doing it backwards. Say that you were trying to divide 20 by 5 you think in your head OK five times what equals 20 and your answer would be four because 5×4 is 20 that's the easiest way to think of it that did not help you with your question tell me in the comments and I will find a better way to explain it.
Answer:
r(-2) = -5 , r(0) = -7 , r(5) = -12.
Step-by-step explanation:
Answer:
3/5 or 0.6
Step-by-step explanation:
Here, given the value of tan theta , we want to find the value of sine theta
Mathematically;
tan theta = 0pposite/adjacent
Sine theta = opposite/hypotenuse
Firstly we need the length of the hypotenuse
This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.
Let’s call the hypotenuse h
h^2 = 3^2 + 4^2
h^2 = 9 + 16
h^2 = 25
h = √(25)
h = 5
Now from the tan theta, we know that the opposite is 3
Thus, the value of the sine theta = 3/5 or simply 0.6
