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 :)
The value of the expression is 
Explanation:
The expression is 
Since, the base of the expression is the same. Then, by "product rule", when multiplying two powers that have the same base, you can add the exponents.
Thus, we have,
Adding the exponents, we have,
Applying exponent rule, 
, we have,
Simplifying, we get,
Dividing, we have,
Thus, the value of the expression is
Question 4. Just replace x with 2a.
So f(2a) = 5(2a)^2 + 4(2a)
= 5*4a^2 + 8a
= 20a^2 + 8a
Question 5. Since x = 3, which is more than 1, use the second equation.
f(3) = 3^2 + 1
= 9 + 1
= 10
Slope-intercept form follows the formula: y=mx+ b
To find the slope intercept form of those, you need to isolate y
For example, x + y + 3 = 0. Subtract 3 and x to get y=-x-3 and that is your slope intercept form! Simple as that :)
Since 88 has no decimal, you would but a zero behind it and then subtract. You have to borrow from the 8 (make it a 7) and make zero 10. Then subtract. 10-7=3, 7-3=4, 8-4=4. Your answer will be 44.3
