Answer:
y=x+1
Step-by-step explanation:
To find the line of the equation, use the slope formula to find the slope.
Slope formula is: y2-y1/x2-x1
9-3/6-2= 3/4
Once you have the slope, use that and one of the coordinates to put the equation in point-slope form.
Point-slope form is: y-y1=m(x-x1), with m representing slope and y1 and x1 representing the x and y coordinates.
y-3=1(x-2)
With the equation in point-slope form, you can now distribute 1 to x-2 and simplify to put it in slope-intercept form.
y-3=1x-2
y=x+1
<span><span><span>10<span>(<span>1−23</span>)</span></span><span>(2)</span></span>+13</span><span>=<span><span><span><span>(10)</span><span>(<span>−22</span>)</span></span><span>(2)</span></span>+13</span></span><span>=<span><span><span>(<span>−220</span>)</span><span>(2)</span></span>+13</span></span><span>=<span><span>−440</span>+13</span></span><span>=<span>−<span>427</span></span></span>
Answer:
The answer is the last one (32x^7y^15)
You can bring x to the second power (x^2) because (x) is basically x^1. This is a basic exponent rule. (x^m)^n = x^m times n.
Then you can apply this rule to (2xy^3)^5. First you bring two to the fifth power and get 32. Then you bring x^5 according to the rule. Then you bring y^15, also because of the rule.
Now you have:
x^2 times 32x^5y^15
Now you just multiply the like terms together (x^2 and x^5)
When you multiply two exponents with the same base, you add the exponents together: a^n times a^m = a^n+m.
So you end up with 32x^7y^15
