Answer:
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
Step-by-step explanation:
Let
Number of multiple-choice questions = x
Number of open-ended questions = y
x + y = 38 (1)
4x + 20y = 200 (2)
From (1)
x = 38 - y
Substitute x = 38 - y into (2)
4x + 20y = 200
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
y = 48/16
y = 3
Substitute y = 3 into (1)
x + y = 38
x + 3 = 38
x = 38 - 3
x = 35
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
Answer:
4x-y=19, y=4x-19
Step-by-step explanation:
I learned a really quick way to do these in geometry.
Let's use standard form or ax+by=c.
Slope of 4: 4x - y = c.
Passes through point 6,5.
4(6) - 5 = c
c= 24-5
c=19
4x-y=19
y=4x-19
First of all, let's recall the area of a triangle, knowing its base (b) and height (h):

The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is

There are three of these triangles, so the area of the whole polygon is

In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is

Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is

Answer:
C.
Steps:
Using points (1,0) and (0,3), you can find the slope.
3 - 0 = 3
1 - 0 = 1
3/1 = 3
Answer:
4a+4b
Step-by-step explanation: