Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
-2*( (X-2y)=4 )
-2x+4y=8
2x-y=1
3y=9 y=3 2x-3=1 x=4
Answer:
33. D.1/3
34. D. y= x+4
35. Slope= -2/3 Y-intercept= -6
Step-by-step explanation:
For number 33. D. 1/3 is the correct answer.
<em>Start at the point (0,2) Then, Go up 1 and Right 3. </em>
<em>As a result, you land in the point (3,3) This proves that the slope is 1/3.</em>
Note: the line is increasing and going upwards, so the slope is positive.
For number 34. D. y=x+4 is the correct answer.
<em>When writing an equation of a line, the correct format is y=mx+b. We are given both m and b. So all we have to do is plug these values into the equation y=mx+b. As a result, we get y=1x+4, which also means y=x+4</em>
For number 35. The Correct answer is: Slope= -2/3 Y-intercept= -6
<em>For this question I can't see all the answer choices but I know that the Slope is -2/3 and the Y-intercept is -6. Here's why: First you need to transform the equation 2x+3y=-18 into y=mx+b format. To do this, subtract -2x from both sides of the equation and you are left with 3y=-18-2x. You can flip -18 and -2x which makes the equation 3y=-2x-18. The next step is to divide both sides of the equation by 3, which gives you y=-2/3x-6. This means </em>Slope= -2/3 and Y-intercept= -6