Answer:
Step-by-step explanation:
Split the polygon into 3 triangles as pictured below
<u>They have base and height:</u>
- 4 and 3, 1 and 1, 3 and 1
<u>Find the area of 3 triangles and add up:</u>
- A = 1/2*4*3 + 1/2*1*1 + 1/2*1*3 = 6 + 1/2 + 3/2 = 8 square units
Answer:
y = - 2x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (5, 2) into the partial equation
2 = - 10 + c ⇒ c = 2 + 10 = 12
y = - 2x + 12 ← equation of line
If x and 71 degrees are side by side, it can be a complementary if it is exactly 90 degrees, supplementary if it is 180 degrees....
Step-by-step explanation:
standard form of
1 . = x⁴-2x ²+3
2. = 5m³- 3m²+ 9m -7
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Answer:
353 tickets.
Step-by-step explanation:
Let's say that there are s student tickets and n nonstudent tickets.
s + n = 669
5s + 8n = 4293
Multiply -5 by the entire first equation to get...
-5s - 5n = -3345
Combine the two equations.
5s - 5s + 8n - 5n = 4293 - 3345
3n = 948
n = 316
Now, put the number of nonstudent tickets sold back into the first equation.
s + 316 = 669
s = 353 tickets.
Hope this helps!