Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:
where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:
Answer:
<em>the</em><em> </em><em>perim</em><em>eter</em><em>=</em><em> </em><em>1</em><em>0</em><em>+</em><em>4</em><em>W</em><em>.</em>
<em>where</em><em> </em><em>W</em><em>=</em><em> </em><em>the</em><em> </em><em>wid</em><em>th</em><em>.</em>
Step-by-step explanation:
mathematically, perimeter (p)= 2L +2W
where L= length.and W=width
<em>from</em><em> </em><em>the</em><em> </em><em>exp</em><em>ression</em><em> </em><em>;</em><em>length is 5 more than the width</em>
<em>it</em><em> </em><em>is</em><em> </em><em>wri</em><em>tten</em><em> </em><em>as</em><em> </em>L = 5+W
<em>sub</em><em>stitute</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>formu</em><em>la</em><em> </em>
P= 2(5+W)+2W
P=10+2W+2W
P=10+4W as the perimeter of the rectangle.
-2<em>x</em> + 6<em>y</em> = -38
3<em>x</em> - 4<em>y</em> = 32
To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.
3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114
2(3<em>x</em> - 4<em>y</em> = 32) --> 6<em>x</em> - 8<em>y</em> = 64
Add the equations.
-6<em>x </em>+ 18<em>y</em> = -114
6<em>x</em> - 8<em>y</em> = 64
+_____________
0 + 10<em>y</em> = -50
10<em>y</em> = -50
<em>y</em> = -5
Substitute -5 for y into one of the original equations to find x.
3<em>x</em> - 4<em>y</em> = 32
3<em>x</em> - 4(-5) = 32
3<em>x</em> + 20 = 32
3<em>x</em> = 12
<em>x</em> = 4
Check work by plugging the <em>x</em>- and <em>y</em>-values into both of the original equations.
-2<em>x</em> + 6<em>y</em> = -38
-2(4) + 6(-5) = -38
-8 - 30 = 38
38 = 38
3<em>x</em> - 4<em>y</em> = 32
3(4) - 4(-5) = 32
12 + 20 = 32
32 = 32
Answer:
<em>x</em> = 4 and <em>y</em> = -5; (4, -5).
the rock and I have a great idea to make sure that the following is a process that is a process that you are writing to be a good idea for you
He has 13 kids in his class. I subtracted 42 - 3 and got 39. Then I divided 39 by 3. That gave me 13.
