Answer:
graph the line using the slope and y-intercept or two points
slope:-2/5
y-intercept:(0,-2)
x | y
-5 | 0
0 | -2
Answer:
.
Step-by-step explanation:
Given information:
According to the Pythagoras theorem,
Using Pythagoras theorem, we get
Taking square root on both sides.
Hence, the expression of the hypotenuse is .
Answer:
2/27
Explanation:
• Number of green marbles = 2
,
• Number of blue marbles = 4
,
• Number of yellow marbles = 3
Total = 2+4+3 =9
• Probability of choosing a green marble = 2/9
,
• Probability of choosing a yellow marble = 3/9
Therefore, the possibility that the first marble is green and the second is yellow is:
Answer:
Area of shape B = 312.5 cm²
Step-by-step explanation:
Ratio of Area of A : Area of B = 12² : 15²
Given that area of A is 200 cm², let the area of shape B = x
Therefore:
200:x = 12²:15²
200/x = 144/225
Cross multiply
144x = 200*225
144x = 45,000
x = 45,000/144
x = 312.5 cm²
Area of shape B = 312.5 cm²
Answer:
x = 0, 4/5
Step-by-step explanation:
The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero
- Here our a term is -x and our b term is (5x - 4)
- Setting each term equal to zero and solving for x we get
- -x = 0 → x = 0
- 5x - 4 = 0 → 5x = 4 → x = 4/5
