<h3>The length of longer piece is 30 inches</h3>
<em><u>Solution:</u></em>
Let "x" be the length of longer piece
Let "y" be the length of shorter piece
<em><u>The length of a board is 55 inches</u></em>
Therefore,
x + y = 55 -------- eqn 1
<em><u>The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece</u></em>
Therefore,
x = 5 + y ------- eqn 2
Substitute eqn 2 in eqn 1
5 + y + y = 55
2y = 55 - 5
2y = 50
<h3>y = 25</h3>
Substitute y = 25 in eqn 1
x + 25 = 55
x = 55 - 25
<h3>x = 30</h3>
Thus the length of longer piece is 30 inches
First, find the asymptotes.
When does f(x) become undefined? When the numerator is 0
0=4x-4
4=4x
x=1
Therefore, x cannot be 1, this is a horizontal asymptote.
We also know that when the degree of x in the numerator is smaller than the degree of x in the denominator, y=0.
Now that we have the horizontal asymptotes, find a third point to draw the graph.
If x=2,
f(2)=-3/4(2)-4
=-3/4
Be sure to include this points in your graph.
Hope I helped :)
We are given with the data of 490 milligrams of sodium content of burrito and 700 milligrams of sodium content of peanut butter sandwich. The total sodium consumption should be less than 4000 milligrams. We are told to represent he number of microwave burritos as x and the number of peanut butter sandwiches as y. The inequality equation thus is 490 x + 700 y ≤ 4000.
Answer:
PQ = 
Step-by-step explanation:
given MQR = 60, PQR = 75
MQP = 75 -60= 15
WE KNOW THAT MQR +QRM +QMR = 180
MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL
THEREFORE QMR = 90 - 60 = 30
therefore PQM = 75 - 60 = 15
PM = PQ because M is the mid point
therefore PR = PM + 
PR = 

PQ = 
Answer:
A
Step-by-step explanation: