Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
<em>Answer</em><em>:</em>
<em>2</em><em> </em><em>out</em><em>. </em><em>of</em><em> </em><em>7</em>
<em>Explanation</em><em>:</em>
<em>First</em><em> </em><em>of</em><em> </em><em>all</em><em> </em><em>There</em><em> </em><em>are</em><em> </em><em>2</em><em> </em><em>C</em><em> </em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>word</em><em> </em><em> </em><em>and</em><em> </em><em>so</em><em> </em><em>it's</em><em> </em><em>going </em><em>to </em><em>be</em><em> </em><em>2</em><em> </em><em>out</em><em> </em><em>of </em><em>the</em><em> </em><em>total</em><em> </em><em>number</em><em> </em><em>of</em><em> </em><em>words </em><em>in</em><em> </em><em>the</em><em> </em><em>given </em><em>word</em>
<em>2</em><em> </em><em>/</em><em> </em><em>7</em><em> </em>
<em>So </em><em>that</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>probab</em><em>ility</em><em> </em>
Answer:
ur smart u got this
Step-by-step explanation:
keep trying and ask ur teacher for help
You will multiply 2 1/4 x 1 1/4 to determine how many pounds of apples Alex buys.
2 1/4 x 1 1/4
9/4 x 5/4 = 45/4 or 11 1/4
