Answer:
-387
Step-by-step explanation:
First term (T1) = -21 = a
second term (t2) = - 27
common difference (d) = t2 - t1 = - 27 + 21 = - 6
Now
Tn = a + ( n - 1) d
T62 = - 21 + ( 62 - 1 ) - 6
= - 21 -366
= -387
Answer:
slope 3
Step-by-step explanation:
-2+y=4
4+y=10
10+y=16
y= 6
0+x=2
2+x=4
4+x=6
x=2
slope= change in y/ change in x
6/2=3
Answer:
![y=\frac{3}{8}x+11](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B8%7Dx%2B11)
Step-by-step explanation:
To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.
We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.
We can find the slope of that line by putting it in slope-intercept form:
8x + 3y = -6
Subtract 8x from both sides.
3y = -6 - 8x
Divide both sides by 3.
![y=-\frac{6}{3}-\frac{8}{3}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B6%7D%7B3%7D-%5Cfrac%7B8%7D%7B3%7Dx)
![y=-\frac{8}{3}x-2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B8%7D%7B3%7Dx-2)
So the slope of that line would be -8/3.
The negative reciprocal of -8/3 would be 3/8.
Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:
![y-2=\frac{3}{8}(x+24)](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B3%7D%7B8%7D%28x%2B24%29)
Now lets change this into slope-intercept form. Add 2 to both sides.
![y=\frac{3}{8}(x+24) +2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B8%7D%28x%2B24%29%20%2B2)
Distribute the 3/8.
![y=\frac{3}{8}x+9+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B8%7Dx%2B9%2B2)
Simplify.
![y=\frac{3}{8}x+11](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B8%7Dx%2B11)
And now we have our equation in slope-intercept form.
I hope you find this helpful.
Answer
The answer to this equation would be 64. '^' just means multiplied by. It has the same mathematical definition as the multiplication sign.
Step-by-step explanation:
USING PEMDAS (NO PARENTHESES)
4 x 2 x 2 x 4
8 x 2 x 4
16 x 4
64
USING PEMDAS (WITH PARENTHESES)
(4 x 2) x (2 x 4)
(8) x (2 x 4)
(8) x (8)
64
You would divide 34 by 40, giving you the decimal number of:
0.85
you would then multiply by 100, moving the decimal point two places to the right.
andy got 85%
hope this helped, xx