Answer:
Linear Function: Its graph has a constant slope (D).
Quadratic Function: Its graph is a parabola (B).
Inverse Variation Function: Its graph has both a horizontal asymptote and a vertical asymptote (F).
Square-root Function: Its graph has a closed endpoint (A).
Exponential Function: Its graph has a horizontal asymptote, but not a vertical asymptote (C).
Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line <em>y = x </em>(E).
Part a:
x + y = 55
y = x + 25
part b:
jackie runs 15 minutes every day.
part c:
it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
step-by-step explanation:
let's call and while jackie is dancing
let's call x while jackie is running
then we know that jackie runs and dances for a total of 55 minutes every day
this means that:
x + y = 55
we also know that jackie dances 25 minutes more than she runs.
this meant that:
y = x + 25
now we substitute the second equation in the first and solve for the variable x
x + x + 25 = 552x = 55-252x = 30x = 15
jackie runs 15 minutes every day.
now we find the value of the variable -y
15 + y = 55y = 55-15y = 40
note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
Answer:
£495 million
Step-by-step explanation:
To find out the total cost of the land, we need to first calculate the area of the land.
Step 1: Find area of right angled triangle ADC
AD = 5 km,
DC = 12 km
Area of the right triangle = ½*a*b
a = 5km
b = 12km
Area = ½*5*12
= 5*6
Area of ADC = 30 km²
Step 2: Find the area of triangle ABC
First, let's find the length of AC using Pythagorean theorem
AC² = AD² + DC²
AC² = 5² + 12² = 25 + 144
AC = √169
AC = 13km
Area of ∆ABC = ½*AB*AC*sin(30°)
= ½*6*13*0.5
= 3*13*0.5
Area of ∆ABC = 19.5 km²
Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²
Step 3: calculate how much the land costs
If the land costs £10 million per km²,
Cost of 49.5 km² = 49.5 × 10 = £495 million
since there is always a decimal at the end of every value so :
= 262144.0
you move the decimal backwards if there is no decimal between the value. you place the decimal after the 1st digit, you will also count the digits you have passed :
= 2.62144 X 10^5
you passed 5 values so you put 5 in exponent form.
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