To find the area of the trapezoid, we only need the quantities a1 (long base), a2(short base) and h(height).
Area=(1/2)(a1+a2)*h
=(1/2)(9.9+4.7)(5.6)
=40.88 mm ²
Not sure what's expected to give for "type". Perhaps trapezoid or trapezium.
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)
<u>1) Determine the slope (m)</u>
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into :
<u />
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (7,9) and solve for b
Add 7 to both sides to isolate b
Therefore, the y-intercept is 16. Plug this back into :
I hope this helps!
Answer:
x = -2
Step-by-step explanation:
3x + 5 + 15x + 25 + 6 = 0
18x + 36 = 0
18x = -36
x = -2
1.
x + y = 5 ⇒ x = 5 - y
2(5 - y) - y = 7 (substitute)
10 - 2y - y = 7 (distribute)
10 - 3y = 7
-3y = -3 (subtraction)
y = 1(divide)
x + (1) = 5 (substitute then solve)
x = 4
2.
–4x – 6(–2x + 6) = 4 (substitute)
–4x + 12x – 36 = 4 (solve)
8x –36 = 4
8x = 40
x = 5
y = –2(5) + 6
y = –10 + 6
<span>y = –4
3.
3x + y = 7 </span>⇒ y = 7 - 3x
<span>-7x - 5(7 - 3x) = 25
-7x - 35 + 15x = 25
8x - 35 = 25
8x = 60
x = 7.5
y = 7 - 3(7.5)
y = 7 - 22.5
y = 15.5
4.
x + 3y = 9 </span>⇒ x = 9 - 3y
<span>2(9 - 3y) + 4y = 7
18 - 6y + 4y = 7
- 2y + 18 = 7
- 2y = -11
y = 5.5
x = 9 - 3(5.5)
x = 9 - 16.5
x = - 7.5</span>
