Answer:
y=1/6x-6
Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)
To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.
It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:
Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)
Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.
The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places
So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.
Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)
And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.
Awesome! We found the slope, which means so far, the equation of line T looks like this:
y=1/6x+b
All we need now is the y-intercept, which is “b” in the equation y=mx+b.
To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.
y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b
Aha! There we have it, -6 is the y-intercept of line T.
Now, we have completed our equation:
y=1/6x-6
I hope this helps! Please comment if you have any questions.
Let's start by first remembering what a "geometric sequence" is. A geometric sequence is a sequence of numbers that multiply by the same number each time. For example,
2, 4, 8, 16
is a geometric sequence since each number is multiplied by 2 from one to the next, but
2, 4, 6, 8
is NOT a geometric sequence. We are adding 2 each time, but not multiplying, so it doesn't count. We have to be multiplying to have a geometric sequence.
[A] Let's look at A, are we multiplying by the same thing?
6*3 = 18
18*3 = 54
54*3 = 162
162*3 = 486
Yes! We are multiplying by 3 each time. This is a geometric sequence!
[B] Are we multiplying by the same thing?
2*3/2 = 3
3*3/2 = 9/2 which is not 5.
NOPE
[C] Are we multiplying by the same thing?
2*5/2 = 5
5*5/2 = 25/2 which is not 8
NOPE
[D] Are we multiplying by the same thing?
-4*1/2 = -2
-2*1/2 = -1
-1*1/2 = -0.5
-0.5*1/2 = -0.25
-0.25*1/2 = -0.125
Yep, we are multiplying by 1/2 each time! This is a geometric sequence!
Do you mean how do you get 250 with 2,10, and 5
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L = 
= 13,4 feet
