Answer: 
Step-by-step explanation:
To find the slope of the line , we will write the equation in the form:
where:
slope
y - intercept.
To write
in this form , we will make y the subject of the formula.
Subtract 4x from both sides

Divide through by 2
Therefore :

Solution:
<u>It should be noted:</u>
- Opposite sides of a rhombus are always equal.
- Opposite angles of a rhombus are always equal.
<u>Thus:</u>
- (-y - 10) = 90°
- 3z - 3 = 90°
- 4x - 2 = 90°
<u>Finding x:</u>
- 4x - 2 = 90°
- => 4x = 90 + 2
- => 4x = 92
- => x = 23
<u>Finding y:</u>
- (-y - 10) = 90°
- => -y - 10 = 90°
- => -y = 100
- => y = -100
<u>Finding z:</u>
- 3z - 3 = 90°
- => 3z = 90 + 3
- => 3z = 93
- => z = 31
L +2w = 500
a = lw
a) l = 500 -2w
.. a = (500 -2w)*w
b) The zeros of the above equation are w=0, w=250. The vertex of this quadratic is on the line of symmetry, halftway between the zeros, at w=125 ft.
c) a = (500 -2*125)*125 = 31,250 . . . . square feet
Answer:
y= -3/4x+2
Step-by-step explanation:
3x+4y=8
-3x -3x
----------------
4y=-3x+8
Divided by 4 on each sides
y= -3/4x+2
Step-by-step explanation:
1 km = 1000 m
1 hour = 3600 s
so,
37.6 km = 37,600 m (still per hour or per 3600 s).
in 1 second now that is
37600/3600 = 10.44444444... m/s