Answer:
Kindly check explanation
5 years from now, Johnathan will be (5 + 4) = 9 years
Step-by-step explanation:
Let Belinda's age = x
Jonathan's age =1/3 x
In 12 years, Belinda will be m years old :
Belinda's age now = x
Jonathan's age 5 years from now, if m = 36
Belinda's age in 12 years, Belinda's age = m
x + 12 = 36
x = 36 - 12
x = 24 years
Hence Belinda's age now is 24
Jonathan's age now is (1/3) * 12 = 4 years
Hence, 5 years from now, Johnathan will be (5 + 4) = 9 years
Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:
Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft
Answer:
a = 3, b = -1, c = 10
Step-by-step explanation:
Let the three numbers be a, b and c.
Equation 1: a + b + c = 12
Equation 2: a + 2b + 3c = 31
Equation 3: 9b + c = 1
Equation 2 - Equation 1:
Equation 4: b + 2c = 19
Equation 3 times by the number 2
Equation 5: 18b + 2c = 2
Equation 5 - Equation 4
17b = -17
b = -1
Substitute into Equation 4:
2c - 1 = 19
2c = 20
c = 10
Substitute into Equation 1:
a + b + c = 12
a - 1 + 10 = 12
a = 3
Plug in -3 for x
f(-3) = 2(-3) - (-3 + 6)
f(-3) = -6 - (3)
f(-3) = -9
Solution: f(-3) = -9
