Let
x-----------> <span>uniform width surrounding the picture
we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
x=2 in
the answer is2 inches
Let's simplify step-by-step.
<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b2
</span></span></span>There are no like terms.
Answer:
<span>=<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b<span>2</span></span></span></span></span>
I think the answer to the expression would be D. (10 - 2) x 4 because (10 - 2) would be multiplied 4 times, which means it would be four times greater. I hope this made sense and also helped you in some way.
Answer:
To ensure uniformity on an exam
Or
To test whether you can distinguish between the two formats
Step-by-step explanation:
Standard form is when a straight line equation is rearranged in the form:
Therefore y=2x+4 in standard form is
The slope-intercept form is when a a straight line equation is written in the form:
where m is the slope and c is the y-intercept.
The given equation is
This is already in slope-intercept form:
The standard form and slope-intercept forms are just formats.
Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.
You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.
g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases
Case A: g(x) = x-1 but only if 
(x is between -2 and -1; including -2 but excluding -1)
Case B: g(x) = 2x+3 but only when 
(x is between -1 and 3; including -1 but excluding 3)
Case C: g(x) = 6-x but only when 
The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...
g(x) = 6-x
g(3) = 6-3
g(3) = 3
Answer: 3
