Answer:
<h2>
y = ¹/₂x + 6</h2>
Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = - 2x + 6 ⇒ m₁ = - 2
m₁m₂ = -1
-2m₂ = -1
m₂ = ⁻¹/₋₂ = ¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = ¹/₂
(-2, 5) ⇒ x₁ = -2, y₁ = 5
So the equation in point-slope form:
y - 5 = ¹/₂(x - (-2))
Therefore:
y - 5 = ¹/₂x + 1
y = ¹/₂x + 1 + 5
<h3>
y = ¹/₂x + 6</h3>
Answer:
-1 degree
Step-by-step explanation:
1.) Subtract 19 from 14.
14 - 19 = -5
2.) Add 4 to -5.
-5 + 4 = -1
Final temperature: -1 degree
Answer:
hello : 256 words
Step-by-step explanation:
2 minutes and 30 = (2×60)+30=150seconds
4 minutes = 4 ×60 = 240 seconds
150seconds →160 words
240 seconds → x ?
x = (160×240) / 150 = 38400/150= 256 words
Answer:
d=1／2
Step-by-step explanation:
Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
