Answer:
m=2/5
b=3.8
Step-by-step explanation:
To find slope you need to use slope formula which is (y2-y1)/(x2-x1) so you need two points from the table and plug them into this. I'll use the first two points (-2, 3) and (-1, 5)
(5-3)/(3--2)
2/5
our slope is 2/5(m)
now to find the y int(b)
we have out slope intercept formula which is y=mx+b
plug in our slope
y=2/5x+b
now take a random point from our tabell and apply it to our equation I'll use (-2, 3) again.
3=2/5(-2)+b
3=-4/5+b
3=-0.8+b
add 0.8 to each side
3.8=b
b=3.8
Answer:
B = 61.75°
Step-by-step explanation:
The formula for the Law of Sines is given as:
a/ sin A = b/ sin B
In the question, we are given the following values
A = 56°, a = 16, b = 17
We are to solve for B
Hence,
16/ sin 56° = 17/sin B
Cross Multiply
sin B × 16 = sin 56° × 17
sin B = sin 56° × 17/16
sin B = 0.88
B = arc sin(0.88)
B = 61.74536°
Approximately B = 61.75°
We know that the smaller base is x cm, the greater base is x+4 cm, and that the height is x/2 cm.
Since the area of a trapezium is given by

If we plug the expressions we have

If this must equal 84, we can solve for x as follows: start with

Multiply both sides by 4:

Subtract 336 from both sides:

We can divide both sides by 2 to make computation simpler:

Use the quadratic formula (or any mean you prefer) to solve this equation and get the solutions

We can't accept the negative solution, because it would imply

and we can't have negative side lengths. So, the answer is 12.
I think its sec theta
i havent done this in a while so... its prob wrong
Answer:
D. 21/26
Step-by-step explanation:
Slope (<em>m</em>) = y2-y1/x2-x1
Input coordinates into formula:
m=5-(-16)/18-(-8)
m=21/26