Hey there!
A common ratio is just that number that you multiply or divide to each number that gets you the next in a geometric sequence. In this sequence, we know the numbers are getting bigger and we're multiplying, so we want to know what you're multiplying by the first number to get to the second. We can call this unknown number x. SO if we start with the first number and set up an equation, we get:
3x = 12
Divide both sides by 3
x = 4
Therefore, your common ratio is 4.
To check, you can multiply all the next numbers by 4 to see that it all checks out.
Hope this helps!
9514 1404 393
Answer:
A. 15x +14y = -36
Step-by-step explanation:
Since we are given two points, we can start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6 -(-9))/(-8 -6)(x -6) +(-9)
y = 15/-14(x -6) -9
Multiplying by -14, we have ...
-14y = 15x -90 +126
Adding 14y-36 to both sides gives ...
-36 = 15x +14y . . . . matches choice A
The standard-form equation is ...
15x +14y = -36
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<em>Additional comments</em>
It can be easier to start with the form ...
(Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1
This gives ...
(6+9)x -(-8-6)y = 15(6) +14(-9)
15x +14y = -36 . . . simplified
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You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.
Answer:
2+8, 3+5
Step-by-step explanation:
Answer:
A) 3/110
B) 3/110
C) 3/110
D) The order doesn’t matter as long as you are drawing out the same three colors. The probability doesn’t change.
Step-by-step explanation:
A) 3/12x3/11x4/10=36/1320= 9/330 = 3/110
B) 3/12x4/11x3/10=36/1320= 9/330 = 3/110
C) 4/12x3/11x3/10=36/1320 = 9/330 = 3/110
D) The order doesn’t matter as long as you are drawing out the same three colors. The probability doesn’t change.
I hope this helps! Have a good day (PLZ GIVE BRAINLIEST)
Answer:
L x W x H =Area
Step-by-step explanation:
