Answer:
33. B
34. D
35. D
36. A
Step-by-step explanation:
All these questions require is a calculator :). For question 35, all you want to put in is arccos(0.8192) and make sure your calculator is in degree mode. For 36, all you want to put in is arctan(0.3839). For 34, all you want to put in is arcsin(0.6018). For 33, all you want to put in is arcsin(0.6561).
We need some sort of diagram to see what they are. Is there any way to say that ac = db? Either equal angles or equal lines.
x + 3 = 3x - 19 Add 19
x + 3 + 19 = 3x Subtract x
21 = 2x
x = 21 / 2
x = 10.5
ac = 10.5 + 3
x = 13.5
The slope-intercept of a line is expressed as y=mx + b where m is the slope which is equal to change in y over change in x and b is the y-intercept. We can obtain this form from two points by doing as follows:
y - y1 = m(x-x1)
y + 3 = (1 + 3) / (4-0) (x - 0)
y + 3 = x
y = x -3
where m is 1 and b is -3
Answer:
Step-by-step explanation:
Vertex form of a quadratic equation;
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
Now substitute in the given point; ( -1, 9) and solve for a;
Hence the equation in vertex form is;
In standard form it is;
it would have to be a, because using pythagorean theorem, we can find that a squared + b squared = c squared. substitute that for 1 + b squared = 4; b squared=3 b = square root of 3
