Answer:
3125 cm
Step-by-step explanation:
The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.
We are given the scale of
1: 5000
This means
1 km = 5000 cm
Hence:
1 km = 5000cm
0.625 km = x cm
Cross Multiply
x cm = 0.625 × 5000 cm
x cm = 3125 cm
Therefore, the length in centimetres between the two villages is 3125cm
Subtract 510 from 375 because you need to find how many more points that he needs to get
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
Answer:
The original duration of the tour is 18 days.
Step-by-step explanation:
Let
the number of days spent be T
Daily expenses be D
Initially ,
total tour expenses was 360
-------------(1)
If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3
---------------(2)
Expanding the eqaution(2)
DT-3D + 4T -12 = 360
Substituting the value of D
Solving the quadratic equation we get
T = 18 and T = -15
T is the number of gays and it cannot be negative , hence T is 18
Substituting in equation (1) we get
D = 20
I think the correct answer is 560ft^2.
