We have x = (2/5)y and x + y = 35;
then, (2/5)y + y = 35;
2y + 5y = 175;
7y = 175;
y = 27;
x = 35 - 27;
x = 8;
Given:
Point = (3,4)
Slope : m = -z
To find:
The point slope formula.
Solution:
Point slope form: If a line passes through the point
and having slope m, then the point slope form of the line is
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
The line passing through the point (3,4) and having slope -z.
Putting
, we get
![y-4=-z(x-3)](https://tex.z-dn.net/?f=y-4%3D-z%28x-3%29)
Therefore, the required point slope form is
.
9514 1404 393
Answer:
- 340 quarters
- 1020 dimes
- 1031 nickels
- 2062 pennies
Step-by-step explanation:
x is the number of quarters
__
a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters
b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes
c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels
d) The total number of coins is ...
x + d + n + p = 4453
x + (3x) +(3x +11) +(6x +22) = 4453
13x +33 = 4453
13x = 4420
x = 4420/13 = 340 . . . . number of quarters collected
3x = 1020 . . . . . . . . . . . .number of dimes collected
1020 +11 = 1031 . . . . . . . number of nickels collected
2·1031 = 2062 . . . . . . . . number of pennies collected
There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.
_____
<em>Check</em>
340 +1020 +1031 +2062 = 4453 . . . as required
Answer:
The base angles for 1 are L and J
Vertex angle is H
The legs are the lines on each side of the triangle
Step-by-step explanation: