I’m extremely sorry, I am stumped
Let H = Hailey's age and M = Maverick
Hailey is 3 times as old as Maverick: H = 3M
The sum of their ages is 48 years: H + M = 48
Since H = 3M, substitute 3M in place of H in the second equation:
H + M = 48
3M + M = 48
4M = 48
M = 12
Maverick is 12 years old. Hailey = 3M = 3(12) = 36 years old.
Using the distance formula
d= square root of (x2-x1)^2+(y2-y1)^2
(9-9)^2+(10-3)^2
0^2+7^2
0+49
Square root of 49 is 7
d=7
The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).
<h3>What is the Point-slope form?</h3>
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
we know that
The equation of the line into point-slope form is equal to
y-y₁ = m(x-x₁)
we have
(x₁, y₁) = (4, 1/3)
m = 3/4
substitute the given values
y-y₁ = m(x-x₁)
y - 1/3 = 3/4 ( x - 4)
therefore,
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Thus, option A is correct.
Learn more about slope;
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y = 80x - 60
Answer is B. y = 80x - 60
Double check:
When x = 1, y = 80(1) - 20 = 80 -60 = 20
When x = 2, y = 80(2) - 20 = 160 -60 = 100
When x = 3, y = 80(3) - 20 = 240 -60 = 180
When x = 4, y = 80(4) - 20 = 320 -60 = 260
When x = 5, y = 80(5) - 20 = 400 -60 = 340
