Answer:
Step-by-step explanation:
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Answer:
The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is
y = - 2 x + 7
Step-by-step explanation:
Let us assume the slope of the line whose equation we need to find is m 1.
The line parallel to the needed line is: y=1/2x+3
Comparing it with the general form: y = m x + C
we get m 2 = 1/2
Now, as Line 1 is Perpendicular to Line 2.
⇒ m 1 x m 2 = -1
⇒ m 1 x ( 1/2) = -1
⇒ m 1 = - 2
Also, the point son the line 1 is given as: (x,y) = (5,-3)
Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.
we get: -3 = (-2) (5) + C
or, C = -3 + 10 = 7
⇒ C = 7
The general line equation is given as: y = m x + C
Substituting the values of C and m, we get:
y = - 2 x + 7
Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is
y = - 2 x + 7
Answer:
9 nickels
Step-by-step explanation:
He has 17 coins.
$1.25 is 12 dimes and 1 nickel. But that is only 13 coins.
$1.25 can only be 17 coins if there were 9 nickels and 8 dimes.
Y= 12 - x
27 + 3( 12 - x ) = 2x
Answer:
in triangle MNO
relationship between perpendicular and hypotenuse is given by sin angle
sin64°=p/h=70/x
x=70/sin64°=77.88foot
length of MN to the nearest tenth of a foot.
=78ft
