Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
They are similar. Both isosceles triangles
<span>angle for DE and FE is <E
answer
E</span>
Answer:
x = 20 but see below.
Step-by-step explanation:
Remark.
This is not well enough marked to know whether D = A or whether you have to do some algebra to find the relationship between A and D. So I will assume A = D and then I'll solve it so you have to manipulate A and D.
A = D
3x - 10 = 2x + 10 Add 10 to both sides
3x - 10 + 10 = 2x + 10 + 10 Cancel
3x = 2x + 20 Subtract 2x from both sides
3x-2x=2x-2x + 20
x = 20
A = E
If A = E then to find x you have to add 3 angles together.
E + D + 45 = 180 Add the three angles of the triangle
E + D = 180 - 45 Subtract 45 from both sides
E + D = 135 Substitute for D and E
3x - 10 + 2x + 10 = 135 Combine like terms
5x = 135 Divide by 5
x = 135 / 5
x = 27
Answer
I'd go with the first one.
