Hello. I do not know this answer on the spot. But there is an app called mymath and you can download it on any apple or android device that will give you the answer to any of the variables in the equation. Hope it helps
Answer:
6
Step-by-step explanation:
Let
. We know the formula for the sum of an arithmetic sequence is:
![S_{n} = \frac{n(a_{1}+a_{n} )}{2}](https://tex.z-dn.net/?f=S_%7Bn%7D%20%3D%20%5Cfrac%7Bn%28a_%7B1%7D%2Ba_%7Bn%7D%20%29%7D%7B2%7D)
Where n is the number term you are finding the sum up to, a1 is the first term, and an is the nth term. We can substitute what we have:
![320=\frac{10(5 + n)}{2}](https://tex.z-dn.net/?f=320%3D%5Cfrac%7B10%285%20%2B%20n%29%7D%7B2%7D)
![640=10(n+5)\\64=n+5\\n=59](https://tex.z-dn.net/?f=640%3D10%28n%2B5%29%5C%5C64%3Dn%2B5%5C%5Cn%3D59)
The formula to find the nth term of an arithmetic series is:
![a_{n} = a_{1} + (n-1)d](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29d)
Where d is the common difference. Again, we can plug in what we have;
![59 = 5 + 9d\\9d = 54\\d = 6](https://tex.z-dn.net/?f=59%20%3D%205%20%2B%209d%5C%5C9d%20%3D%2054%5C%5Cd%20%3D%206)
Step-by-step explanation:
12+ 3x= -24 -3x
Collect like terms
12 +24= - 3x -3x
36 = - 6x
Divide both sides by -6
Therefore, <em>x</em><em> </em>= -6
Answer:
- Trapezoid with the area 16.5 unit²
Step-by-step explanation:
Plotted the given points to find out the figure is trapezoid.
<u>Area formula for trapezoid:</u>
<u>The length of the bases:</u>
- b₁ = DE = 3 - (-1) = 4
- b₂ = FG = 4 - (-3) = 7
<u>h is the horizontal distance between the bases:</u>
<u>The area is:</u>
- A = 1/2(4 + 7)(3) = 16.5 unit²
Step-by-step explanation:
numbers one two and three are correct