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:
100 square inches
Step-by-step explanation:
Dimension of each of the ten pictures= 4 inches by 6 inches
Area of one of the pictures=4*6=24 Square Inch.
Total Area of the 10 pictures=24*10=240 Square Inches.
Dimension of the Poster Board=20 inches by 17 inches.
Area of the Poster Board=20*17=340 Square Inches.
Area not covered by the pictures=340-240=100 Square Inches
Therefore, 100 square inches of the green background will show after the pictures are mounted.
By looking at it, I can tell the second expression is greater due to a a large postive number that's being added to it. Let's solve.
-12+6=-6-4=-10
-34-3=-37+39=2
So, -34-3+39 is greater.
<span><u><em>The correct answer is: </em></u>
we cannot take an even root of a negative number in the real number system.
<u><em>Explanation</em></u><span><u><em>: </em></u>
A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.
If the base is negative, this means we want an even root of a negative number.
Any even root can be broken down into a series of square roots, done one after another.
However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.</span></span>
Answer:
1/8 ft³
Step-by-step explanation:
Apparently cubic blocks that are 1/5 of 2 1/2 ft on a side are used to fill the cube that is 2 1/2 ft on a side. Then each edge of the block is ...
(1/5) × (5/2 ft) = 1/2 ft
The volume of the block is the cube of that:
(1/2 ft)³ = 1/8 ft³