Answer:
Step-by-step expThis is the concept of trigonometry, the value of x will be calculated as follows;
sin theta=[opposite]/[hypotenuse]
theta=x
opposite=16 units
hypotenuse=21 units
thus;
sin x=16/21
hence;
x=arcsin(16/21)
x=49.63
x=50 (to the nearest degrees)
Answer: 
<u>Step-by-step explanation:</u>
x - 2 = -4y → x = 2 - 4y
3x + 2y = 11
3(2 - 4y) + 2y = 11 <em>replaced "x" with (2 - 4y)</em>
6 - 12y + 2y = 11 <em>distributed "3" on left side</em>
<em> </em>6 - 10y = 11 <em>added like terms (-12y + 2y)</em>
- 10y = 5 <em>subtracted "6" from both sides</em>
y 
<em>divided both sides by -10</em>
Next, solve for x:
x = 2 - 4y
= 2 + 2
= 4
Answer:
Step-by-step explanation:
Answer:
The equation of the line would be A) y - 8 = -2(x + 2)
Step-by-step explanation:
In order to find the equation of the line, we need to start by finding the slope. We can do that with the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-2 - 8)/(3 - -2)
m = -10/5
m = -2
Now that we have the slope at -2, we can plus in the first point into point-slope form and find the equation.
y - y1 = m(x - x1)
y - 8 = -2(x + 2)
<u>QUESTION 2</u>
Answer:
The correct answer is B) x-intercept = -4 and y-intercept = -3
Step-by-step explanation:
We can tell this because the y-intercept is the value of y when x = 0. So we put 0 into x for the equation.
3x + 4y = -12
3(0) + 4y = -14
4y = -12
y = -3
Since B is the only answer with an y-intercept at -3, we know it to be the correct answer.
length of the slide is lets say 'l' the height (h) opposite to the angle 28 is found by h=l*sin28 where sin28=0.47 approximately h=4.5*0.47 h=2.115m
