Slope is change in y over change in x:
Slope = (5c - 3c) / ( 2c -c)
Slope = 2c/c = 2
The answer is D. 2
2. He did not plug the correct values into the numerical equation.
The answer should be B.
Answer:
scale factor = 
Step-by-step explanation:
To calculate the scale factor compare the ratio of corresponding sides, image to original.
Comparing the base of both triangles
Figure A = 6 and Figure B = 3
scale factor from A to B is
k = 
=
1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
If how much owen saves is x, 2x=y (jessie's amount of saved money) and
x-5=nick's amount of money =z
Since x+y+z=220, we plug 2x in for y and x-5 in for z, getting x+2x+x-5=220. Adding 5 to both sides, we get 4x=225 and by dividing by 4 we get x=225/4=61.25 dollars. 61.25-5=56.25=z=nick's money, and 61.25*2=122.5=jessie's saved money
Answer: -81x^2 + 16
Step-by-step explanation: Expand the polynomial using the FOIL method.
