Answer:
Graph A represents a function
Step-by-step explanation:
in a function every input will have its own specific output.
Since you are not allowed to draw a black marble, then you have only 7 ways to draw either a blue or a red marble. The sum of all marbles is 10. So the probability of not drawing a black marble is 7/10 and the probability of drawing a red marble is 2/10 or 1/5.
Answer:
4 × (3 + 7) = (4 ×7) + (4 × 3)
Step-by-step explanation:
If you go by the order of PEMDAS you would do the parentheses first. 3 + 7 =10. 10 × 4 = 40. Then you would just use the distributive property and do (4× 7) + (4 × 3)
4 × 7 = 28 and 4 × 3 = 12 28 +12 =40
9514 1404 393
Answer:
(x +3)² +(y -4)² = 145
Step-by-step explanation:
The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...
A = (P +Q)/2
A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2
A = (-3, 4)
The equation of the circle for some radius r is ...
(x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle
The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...
(6 +3)² +(12 -4)² = r² = 9² +8²
r² = 81 +64 = 145
Then the equation of the circle is ...
(x +3)² +(y -4)² = 145
Answer:
perimeter = 1 3/4
Step-by-step explanation:
1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2
2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4
3. 1 1/2 + 1/4 = <u>1 3/4</u>