Answer:
Multiply the second equation by −2 to get −8x − 6y = −30.
Step-by-step explanation:
{2x + 6y = 12
{4x + 3y = 15
{2x + 6y = 12
{−8x − 6y = −30 >> New Equation
* Doing this will give you <em>additive</em><em> </em><em>inverses</em><em> </em>of −6y and 6y, which result in 0, so they are both ELIMINATED.
** [3, 1] is your solution.
I am joyous to assist you anytime.
Answer:
1. 3 2. 16
Step-by-step explanation:
3x+2/y, x = 3 and y = 6
3(3)/6
Factor the number
3*3*2/3*2
Cancel the common factor (3)
3*2/2
Cancel the common factor (2)
3/1
Simplify
=3
(4a)^3/(b-2), a = 2, b = 4
(4(2)^3/(4-2)
Subtract the numbers:
2^3 * 4/2
Apply exponent rule (a^b*a^c=a^b+c)
= 2^3+1
Add the numbers:
2^4
Simplify:
=16
Answer:
Step-by-step explanation:
Given
Required
Find b
implies that:
Collect like terms
There are 500 even numbers from 1 to 1000 starting with 2 and ending with 998. The sequence of even numbers is an arithmetic sequence with a common difference of 2. Using the equation for the arithmetic series,
S = (a1 + an)(n/2)
and substituting,
S = (2 + 998)(500/2)
we get,
S = 250,000
Therefore, the sum of all even numbers between 1 and 1000 is 250,000.
The tops and bottoms of a trapezoid are parallel, and a polygon's volume and angles are always 360.As long as you know the shape and about three of the lengths, you can find the base.
