Answer:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved
by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
4x = 50 × 60
Divide from both sides
x = 50 × 1.25 = 75
Answer is 75
Step-by-step explanation:
Here is a easier explanation if you didn't understand clearly:
It asked for how many 60 shots would score.
You would look at the first time he scored which is 50 and took 40 shots. Divide them
50 ÷ 40 = 1.25 or 1.5
So now you know each point scores 1.25 or 1.5
Now you multiply 1.25 or 1.5 with how many shots to see how much was scored and in this case 60 shots.
60 × 1.25 or 60 × 1.5
& They both end up equaling just the same, 75.
Hope it made sense :)
Answer:
3x+2y+2=0
3x=-2y-2
x=-(2y+2)/3
Step-by-step explanation:
Answer:
The coordinates of the circumcenter of this triangle are (3,2)
Step-by-step explanation:
we know that
The circumcenter is the point where the perpendicular bisectors of a triangle intersect
we have the coordinates

step 1
Find the midpoint AB
The formula to calculate the midpoint between two points is equal to

substitute the values


step 2
Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)
Is a horizontal line (parallel to the x-axis)
-----> equation A
step 3
Find the midpoint BC
The formula to calculate the midpoint between two points is equal to

substitute the values


step 4
Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)
Is a vertical line (parallel to the y-axis)
-----> equation B
step 5
Find the circumcenter
The circumcenter is the intersection point between the equation A and equation B
-----> equation A
-----> equation B
The intersection point is (3,2)
therefore
The coordinates of the circumcenter of this triangle are (3,2)
Answer:
29 and 17
Step-by-step explanation:
Sum: 29 + 17 = 46
Difference: 29 - 17 = 12