Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
17. The answer should be 17
Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Answer:
[rad] 2.41
Step-by-step explanation:
Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):
cot^-1(-√5/2)
And we should get 2.41 as our answer!
