Answer:photo math
Step-by-step explanation:
Answer:
y = (7/2)x -20
Step-by-step explanation:
The given line is in slope-intercept form, so you can read its slope from the equation.
y = mx + b . . . . . m is the slope; b is the y-intercept
y = -(2/7)x + 9 . . . . . . has slope -2/7
The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...
m = -1/(-2/7) = 7/2
We can use this and the given point to write the equation in point-slope form.
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
We have m = 7/2, (h, k) = (4, -6) so the equation is ...
y = (7/2)(x -4) -6
y = (7/2)x -20
Well for THIS one you'd have to find how many miles he hikes in ONE day, so you would divide 14 by 2 to get 7 miles per day, and to find how many days he hiked in 42 miles, just divide 42 divided by 7 which equals 6, so it took him 6 days to hike 42 miles. =)
I hope I helped! =D
Answer:
Week 4
Step-by-step explanation:
Ben has $250 in the beginning. He saves $150 per week.
y = 150x + 250
Tim has $1,650 in the beginning. He spends $200 per week.
y = 1650 - 200x
We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.
150x + 250 = 1650 - 200x
(150x + 250) + 200x = (1650 - 200x) + 200x
350x + 250 = 1650
(350x + 250) - 250 = (1650) - 250
350x = 1400
(350x)/350 = (1400)/350
x = 4
By week 4, they will have the same amount of money.
