Answer:
m = 4
Step-by-step explanation:
The m in y= mx+b is the slope.
Write the situation as a simultaneous eqution:
x+y=87
10x+5y=545
Now solve for y by multiplying the whole of the first equation by the coefficient of x:
10x+10y=870
10x+5y=545
5y=325
y=65 nickels in the box
x+y=87
x=22 dimes in the box
To prove this is correct, we do (10 x 22)+(5 x 65)=545 cents ($5.45)
Answer:
The length of the model is 12.4.
Step-by-step explanation:
2in=25ft
x=155ft
155/25=6.2
2*6.2=12.4
Answer:
Vertex: (1,3)
Maximum
Step-by-step explanation:
y = -2x² + 4x + 1
y = -2(x² - 2x) + 1
y = -2(x² - 2(x)(1) +1² - 1²) + 1
y = -2(x - 1)² + 3
Vertex: (1,3)
Maximum
sentence:-
If two lines intersect, then the vertical angles formed are equal.
- p
q
1) If the vertical angles are not equal, then lines do not intersect.
- it is CONTRAPOSITIVE
- ~q~p
2) If the two lines do not intersect, then the vertical angles are not equal.
- it is INVERSE
- ~p~q
3) If the vertical angles are equal, then the two lines intersect.
- it is CONVERSE
- qp
