Answer:
Slope = 6
Step-by-step explanation:
Reading your description carefully, the equation of line has been given to be
When we compare this with the standard form of a straight line
We immediately see that the slope or gradient m = 6.
Alternatively, when we consider the coordinates of the points mentioned, we have
(1, 5) ; (0, -1) ; (-1, -7)
We can take any two points out of these three and calculate the slope using the formula
For example, let us consider the points (1, 5) and (-1, -7)
Here x₁ = 1; x₂ = -1 and y₁ = 5; y₂ = -7
Plugging the numbers in the above formula, we have
This agrees with what we calculated directly from the equation of the line!
Hence, slope of the line on the graph = 6
Answer:
<h2><u>16840.8</u></h2>
Step-by-step explanation:
In mathematics, the discount is a type of reduction in the cost price of a product. Generally, the discount refers to the condition where the selling price of the product is less than the cost price of the product. The discount can be calculated by taking the difference between the cost price and the selling price. Thus, the formula to determine the discount is given as:
Discount = Cost price – Selling Price
<h3>Hope it is helpful...</h3>
Answer:
○![\displaystyle -\frac{2\sqrt{3}}{3}\:[or\:-\frac{2}{\sqrt{3}}]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%5C%3A%5Bor%5C%3A-%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%7D%5D)
Step-by-step explanation:
You have to know the Unit Circle on this one. So, to start off, in the degree-angle range from 180° - 270° [Quadrant III], you must figure out the cosine value that gives you −½, and according to the graph, <em>theta</em><em> </em>will be represented as 240°. So, now that we have our <em>θ</em>, looking at the <em>y-value</em><em> </em>240°, since we want the <em>cosecant</em><em> </em>function, all we have to do is take the multiplicative inverse of
which gives you 
Extended Information

![\displaystyle -\frac{2\sqrt{3}}{3} = [-\frac{\sqrt{3}}{2}]^{-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%20%3D%20%5B-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5D%5E%7B-1%7D)
I am joyous to assist you anytime.
Answer:
- Radius=50 ft
- π=3.14
- Height=30 ft
- Volume=?
We know that,





Thus,the third option is correct.

Answer:
Jake:y
grandma:6y
cousin:y+5
the sum of all their ages:8y+5
Step-by-step explanation:
given Jake:y
His grandma is 6 times his age
so
grandma:6y
His cousin is 5 years older than
him.
so
cousin:y+5
the sum of all their ages is
y+6y+y+5
8y+5