Answer:
The equation that represents the new path is y=(1/2)x-2
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-2x-7
so
the slope m is equal to
m=-2
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-2 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/2
step 3
With m=1/2 and the point (-2,-3) find the equation of the line
y-y1=m(x-x1)
substitute
y+3=(1/2)(x+2)
y=(1/2)x+1-3
y=(1/2)x-2 -----> equation that represent the new path
Answer:
is that all the questions
Step-by-step explanation:
if you can show the both it will help full
Answer:
Step-by-step explanation:
Height of cylinder = 18cm
Circumference = 44 cm
2πr = 44
Volume of cylinder = πr²h
Answer:
Devante is 23 and Savannah is 32.
Step-by-step explanation:
We can set up a system of equations.
s - savannah's age
d - devante's age
s = d + 9
s + d = 53
Now we can substitute (d + 9) for s in the second equation.
(d + 9) + d = 53
2d + 9 = 53
2d = 46
<u>d = 23</u>
To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)
23 + 9 = 32
<u>s = 32</u>
Answer:
single solution : (4 ; 6)
Step-by-step explanation:
hello :
4x-y=10.....(1)
y=2x-2.....(2)
put the value for y in (1) :
4x-(2x-2)=10
4x-2x +2 = 10
2x=8
x=8/2 =4
but : y = 2x-2
so : y =2(4)-2=6
single solution : (4 ; 6)