Answer:
y = 2x + 2
Step-by-step explanation:
<em>(a) Slope </em>
The point-slope formula for a straight line is
y₂ - y₁ = m(x₂ - x₁)
The line goes through the points (-1, 0) and (0, 2).
2 – 0 = m[0 – (-1)]
2 = m
(b) y-intercept
y = mx + b
Use the point (0, 2)
2 = 2× 0+ b
2 = 0 + b
b = 2
∴ y = 2x + 2
Answer: -418, 728, 446, -429, 1159, -696
Step-by-step explanation:
1. .
2. .
3. .
4. The sum of 429 and 429 is . We need to subtract this from 429, so
.
5. The sum of 510 and 319 is . Subtracting -330, we get
.
6. Call the unknown number "". Then
, so
. (Think about it.)
Answer:
720 degrees.
Step-by-step explanation:
The sum of the interior angles of a convex polygon with n sides is
180(n - 2) degrees.
In this case, n = 6 sides, so the angle sum is
180(6 - 2) = 180(4) = 720 degrees.
The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).
