Answer:
The equation of the parallel line would be y = 3/2x + 10
Step-by-step explanation:
In order to find this, we first need to find the slope of the first line. We can do this by solving for y.
2x + 3y = -5
3y = -2x - 5
y = -2/3x - 5/3
Now we know the slope to be 3/2 since perpendicular lines have the opposite and reciprocal. So we can use point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - 1 = 3/2(x - -6)
y - 1 = 3/2x + 9
y = 3/2x + 10
While this doesn't match any of your options, it is correct for the given parameters.
Answer:
The rectangular prism has lateral faces.
4 lateral faces
The rectangular prism has a surface area of square inches.
254 square inches
Step-by-step explanation:
Answer: 47.86
Step-by-step explanation:
tan x =42/38
tan x= 1.105
x= 47.86
Answer:
Jody
Step-by-step explanation:
You can either convert 500 seconds to minutes or 8 minutes to seconds to compare. I'll do both.
There is 60 seconds in a minute. To find the total minutes of 500 seconds, divide 500 by 60 → 8.3, which means that Jody practiced for 8.3 minutes.
To find the total seconds of 8 minutes, multiply 60 seconds per minute by 8 minutes → 60 * 8 = 480 seconds which means that Bill practiced for 480 seconds.
Now you can compare. Jody practiced for 500 seconds, or 8.3 minutes. Bill practiced for 480 seconds, or 8 minutes. Jody practiced longer.
I believe one
is named congruent triangle
not sure for the other one