Here are a couple I found:
<u>Similarities</u>:
- They have the same y-intercept of (0,5).
- They are both in slope-intercept form.
<u>Differences</u>:
- The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
- They have different x-intercepts. (y = 2x + 5 intersects (-
, 0) while y = -13x + 5 intersects at (
, 0)
<u></u>
<u>Explanation</u>:
Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).
As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.
Use y = mx + b to determine the equation of the graph, then decided the inequality symbol.
m = +5/+6 =
b = 5
y =
x + 5
6y = 5x + 30
-30 = 5x - 6y ⇒ 5x - 6y = -30
Now let's look at the inequality symbol: The shaded area is below so it will be a less than symbol and it is a solid line so the equal sign is included.
Answer: 5x - 6y ≤ -30
Use photo-math or Gauth-math application can help u this
Option A is correct.
Step-by-step explanation:
We need to identify which statement is true in matrix addition.
In matrix addition we just add the corresponding elements.
In the options given only Option A is correct i.e, (n+4)-7 = 18
All other options have error in them.
In Option B there should be -12 instead of +12
In Option C there should be -11 instead of 11
In Option D we are not adding corresponding entries.
So, Option A is correct.
Keywords: Matrix addition
Learn More about Matrix Addition at:
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The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).