In this image, the two angles (equations) form a right angle, which is 90°. You combine these equations: 4y-7+3y-1. When you combine like terms, you get 7y-8. You set this equal to 90°. 7y-8=90. Solve for y, and you get y=12.
Answer:
(x - 5)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (5, - 3) and r = 4, thus
(x - 5)² + (y - (- 3))² = 4², that is
(x - 5)² + (y + 3)² = 16 ← equation of circle
Answer: Negative 1 The slope of parallel lines is the same.
The attachment shows two such lines, given coordinates labeled.
Step-by-step explanation:
Find the slope of the line passing through the given points.
rise/run
Rise is the difference in y-values 7-(-5) = 12
Run is the difference between x-values -5 - 7 = - 12
The Slope is 12/-12 simplify:
slope = -1
Answer:
The train need to leave Portland at 03:27 am
Step-by-step explanation:
step 1
Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California
Remember that
The speed is equal to divide the distance by the time
so
The time is equal to divide the distance by the speed
Let
s ---> the speed in miles per hour
d ---> the distance in miles
t ---> the time in hours

we have


substitute

step 2
Adds 30 minutes (time it takes to get from the train station to her aunt's house)
Remember that


Convert to minutes

step 3
Remember that

Convert to minutes

Subtract 993 minutes from 1,200 minutes

Convert to hours+minutes


so


therefore
The train need to leave Portland at 03:27 am