What is the solution to this system of linear equations?y − 4x = 7
2y + 4x = 2
(3, 1)
(1, 3)
(3, −1)
(−1, 3)
Answers
This can be determined by method of system of linear equation. Therefore, the correct option is D i.e. (-1,3) where, x= -1 and y = 3.
Given :
...(1)
...(2)
To obtain the value of x and y,
From equation (1) find the value of y
...(3)
put this value in (2) and solve it further,
...(4)
Put the value of x=-1 in equation (3),
Thus we get,
,
Therefore, the correct option is D i.e. (-1,3) where, x= -1 and y = 3.
For further details, please prefer this link:
Good morning Sonny
y-4x=7
2y+4x=2
We need to solve -4x+y=7 for y
Now let's start by adding 4x to both sides
-4x+y+4x=7+4x
y=4x+7
Now substitute 4x+7 for y in 4x+2y=2 so we can find the value for x
4x+2y=2
4x+2(4x+7)=2
12x+14=2
Add -14 to both sides
12x=14-14=2-14
12x=-12
Now divide 12 to both sides so we can find x
12x/12=-12/12
x=-1
Now we need to find the value for y by substitute -1 for x in y=4x+7
y=4x+7
y=(4)(-1)+7
y=3
Work done ;)
Answer : x=-1 and y=3
(-1,3)
D
I hope that's help :0
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Linear equation is y=ax+b
Its decreasing so u need - a
2001 and 2002 would be your x at liner equation so can't have them as b
so answer is B
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A rectangle is a quadrilateral which has two pairs of parallel sides.
The explanation in points is written below:
1. A rectangle is a quadrilateral with four sides and four angles.
2. Opposite sides of a rectangle are congruent (equal in length) and parallel.
3. This means that there are two pairs of sides that are parallel to each other.
4. The pairs of parallel sides are the top and bottom sides, and the left and right sides of the rectangle.
To summarize, a rectangle has two pairs of parallel sides: the top and bottom sides, and the left and right sides. This property is a defining characteristic of rectangles.
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The compound interest formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we can plug in the values given in the question to find the final amount earned after 10 years. The principal is $500, the annual interest rate is 4%, which is divided by 4 to get 1% per quarter, the number of times compounded per year is 4, and the time in years is 10. Plugging in these values, we get A = 500(1 + 0.01)^(4*10) = $740.60. Therefore, the final amount earned after 10 years is $740.60.
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(Note: The diameter is 10ft.)
Answers
The radius r is half the diameter. The diameter is 10 ft so the radius is 5 ft.
The area is 25π ft².
A = pi * r^2
If the diameter is 10 feet, the radius will be half of that or 5.
So:
A = 3.14 * 5^2
Simplify exponent:
A = 3.14 * 25
Multiply:
A = 78.5
Answers
v=(bh)/3
mulitply both sides by 3
3v=bh
divide both sides by b
(3v)/b=h
answer is B