N + d = 20....n = 20 - d
0.05n + 0.10d = 1.35
0.05(20 - d) + 0.10n = 1.35
1 - 0.05d + 0.10d = 1.35
-0.05d + 0.10d = 1.35 - 1
0.05d = 0.35
d = 0.35/0.05
d = 7 <==== 7 dimes
n + d = 20
n + 7 = 20
n = 20 - 7
n = 13 <=== 13 nickels
In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
Answer:
See below.
Step-by-step explanation:
The Slope of PQ is (v - z) / (w - x).
The slope of P'Q' =
(v + b) - (z + b)
--------------------- = (v - z) / (w - x)
(w + a - (x + a)
Both lines have a slope that is (v - z)/ (w - x).
So both lines are parallel.
Answer:
one plus one over 2 y equals x
is
1 + 1/2y = x
Step-by-step explanation:
<h3>
Answer:</h3>
The slope is 
and the y-intercept is 
.
<h3>
Explanation:</h3>
This function is written in slope-intercept form, which is 
. In this form, 
is the slope and 
is the y-intercept.
In this case, 
and 
, so those are the answers to this problem.
