Answer:
y=5 and x=4
Step-by-step explanation:
So,the diagonals of a parallelogram bisect each other..
therefore,we have our two eqn
4x-2=3y-1------------(i)
3y-3=3x
or,y-1=x----------(ii)
Now,simply substitute value of x in eqn (i)
4(y-1)-2=3y-1
or,4y-4-2=3y-1
or,y=5
Again,substitute y=5 in eqn (ii)
5-1=x
therefore,
x=5
Hope it helps you!!!
Answer:
85
Step-by-step explanation:
2x^3 + 3y^2 − 17
2(3)^3 + 3(4)^2 − 17
2*27 + 3*16 -17
54 + 48 -17 = 85
Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be 
in pounds and the weight of second alloy used be 
in pounds.
Total weight = 
Total weight of copper = 
Subtracting 34 times first equation from second equation,
∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
5/7
Step-by-step explanation:
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.
To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:
y - y1 = m(x - x1)
plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.
y - 1 = 3(x +2) Use distributive property for right side of equation
y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y
Equation of line: y = 3x + 7
