(0,-3) because that’s what it is
Answer:
8.73 units
Step-by-step explanation:
Use the area formula, A = lw
Plug in the are and given side length, and solve for w
A = lw
24 = 2.75w
Divide each side by 2.75
8.73 = w
The other side length of the rectangle is approximately 8.73 units
Answer:
YES
Step-by-step explanation:
The equation, , would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.
Let's find out if we would always get a true statement using different value of x.
✍️Substituting x = 1 into the equation:
(TRUE)
✍️Substituting x = 2 into the equation:
(TRUE)
✍️Substituting x = 3 into the equation:
(TRUE)
Therefore, we can conclude that the equation, , is an identity.
3: rearrange the 2nd equation so y is isolated, add 3x to both sides
Both equations are now y = 3x + 2. So they are identical, and therefore have infinite solutions since solution means how many times do these lines meet/overlap.
4: rewrite left-right and the equations are now:
y = -x
y = -x -2
Same slope but different intercept (b value), so they are parallel and NEVER meet (NO SOLUTIONS)
5. Rearrange:
y = -x + 4
y = x + 4
So they have different SLOPES in this example (m value). This means they are not parallel or identical, so they can only cross once (one solution)
6: rearrange both
y = 3x - 1
y = 3x + 1
Same slope (m=3), different intercepts (b= 1 and -1). Same slope means parallel, different b means different intercepts so they are NOT identical. Since parallel lines can not cross, there are no solutions
7: y = 2x + 4
y = 2x - 4
Same slope (m=2), different b values (y-intercepts are 4 and -4), so parallel but not identical, no solution