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:
65
Step-by-step explanation:
Let x be the number and y be the another one.
x=4y-3
x-y=48
Substitute x=4y-3 into x-y=48
(4y-3)-y=48
3y=51
y=17
[Since we know x is larger than y (4y-3), we need to use y to calculate out x.]
Substitute y=17 into x=4y-3
x=68-3
x=65
Answer:
24
Step-by-step explanation:
f(x)=5x^2-7x
substitute x to 3
f(3)=5(3)^2-7(3)
f(3)=5(9)-21
f(3)=45-21
f(3)=24
Step-by-step explanation:
try this option, all the details are in the attachment.
Note, the nine numbers. used in the solution are: 1, 2, 3, 4, 5, <u>6,</u> 7, 8 and 9.