Answer: 5y + 4x = - 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their gradients = -1.
If the gradient of the first line is 
and the gradient of the second line is 
, if the lines are perpendicular, them
x = -1 , that is
= 
The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.
The equation in slope -intercept form is given as :
y =mx + c , where m is the slope and c is the y - intercept.
Writing the equation in this form , we have
5x - 4y = + 3
4y = 5x -+3
y = 5x/4 + 3/4
comparing with the equation y = mx + c , then = 5/4
Which means that = -4/5 and the line passes through the point ( -5 , 2 ).
Using the equation of line in slope - point form to find the equation of the line;
y - 
= m ( x - )
y - 2 = -4/5 ( x +5)
5(y - 2 ) = -4 ( x + 5 )
5y - 10 = -4x - 20
5y + 4x = - 10
Answer:
1 to 75
2 to 120
3 to 165
4 to 210
5 to 255
Step-by-step explanation:
Answer:
30 AND 40
Step-by-step explanation:
SUM OF RATIO IS 4 + 3 = 7
1ST NUMBER : 4/7 × 70 = 40
2ND NUMBER : 3/7 × 70 = 30
Answer:
The correct answer is A
Step-by-step explanation:
We want to determine the decimal equivalence of 
.
We perform the long division as shown in the attachment.
Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is 
, will be inside the long division sign.
We see that the quotient of our long division is 
.
We can rewrite this as
Therefore 
.
You are given Richard’s piano practice for 3 piano solos. Every piano sol
he makes takes 5/12 hour. You are asked to find how long Richard is going to
practice his piano solo. So we have for every 1 piano solo he makes this is
equal to 5/12 hours. This can be best represented by ratio and proportion.
1 piano solo/(5/12 hour) = 3 piano solo/(number of hours)
Number of hours = 3 piano solo/ (1 piano solo/5/12 hours)
<u>Number of hours = 5/4 hours or 1.25 hours.</u>
