Answer:
![x=-2\frac{5}{7}](https://tex.z-dn.net/?f=x%3D-2%5Cfrac%7B5%7D%7B7%7D)
Step-by-step explanation:
![19+7x\\](https://tex.z-dn.net/?f=19%2B7x%5C%5C)
Subtract 19 both sides.
![19-19+7x=-19\\0+7x=-19\\7x=-19](https://tex.z-dn.net/?f=19-19%2B7x%3D-19%5C%5C0%2B7x%3D-19%5C%5C7x%3D-19)
Divide 7 on both sides to isolate x.
--> ![x=-\frac{19}{7}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B19%7D%7B7%7D)
Transform form improper to proper form.
![-\frac{19}{7}=-2\frac{5}{7}\\x=-2\frac{5}{7}](https://tex.z-dn.net/?f=-%5Cfrac%7B19%7D%7B7%7D%3D-2%5Cfrac%7B5%7D%7B7%7D%5C%5Cx%3D-2%5Cfrac%7B5%7D%7B7%7D)
Answer:
= 8n - 19
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 11 and d = - 3 - (- 11) = - 3 + 11 = 8, thus
= - 11 + 8(n - 1) = - 11 + 8n - 8 = 8n - 19
This one would be 59 million, or 59,000,000.
First let’s put 5x+2y = 12 into slope-intercept form.
2y = -5x + 12
y = (-5/2)x + 6
So any line that is parallel to y = (-5/2)x + 6 must have a slope of -5/2.
Our answer then is y = (-5/2)x + c
Now all that remains is to find out the value of c.
We know this line passes through the point (-2,4). Which means when x = -2, y = 4.
4 = (-5/2)(-2) + c
4 = 5+c
c = -1
Hence the line you want is y = (-5/2)x - 1
Since the question gave the line in standard form and didn’t ask for any particular form, let’s give the answer in the same form that the question asked.
2y = -5x - 2
5x + 2y = -2
Answer:
31
Step-by-step explanation:
Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.
<em>Step 1: Combine like-terms.</em>
2x + 118 = 180
<em>Step 2: Subtract 118 from both sides to isolate the variable.</em>
2x = 62
<em>Step 3: Simplify</em>
x = 31