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.
Answer:
<h3>Length = 30 feet </h3><h3>Width = 21 feet </h3>
<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em>Length is nine feet more
Area is 252
<u>To </u><u>find </u><u>-</u><u> </u><u> </u>Value of length and width
<em><u>Solution</u></em><em><u>-</u></em><em><u> </u></em>
let the width of the carpet be X
therefore length = 9 + X
Area of carpet = Length * width
252 = (9+x) * X
252 = 9x + x²
<em><u>Solving </u></em><em><u>the </u></em><em><u>equation </u></em><em><u>by </u></em><em><u>splitting </u></em><em><u>middle </u></em><em><u>term </u></em>
x² + 9x - 252 = 0
x²- 21x + 12x - 252= 0
x ( x - 21) + 12( x - 21) = 0
(x -21)( x + 12) = 0
X = 21 or X = (-12)
Length = 9 + X
= 30 or (-3)
negative is not possible so
length = 30
width = 21
Answer:
Deniz, as he would be correct because those images of the embryos were classified as fraud, so Malik's theory could not be true in the first place becuase the images are not based on reality, but the pictures that Deniz are using as the backup for his theory are true so his statement would be true...
idk if your school can take that as an answer but that is the truth, so just in case here is an alternate answer
Deniz because the only time the organisms are similar in appearance is for a short period of time, then they drastically change in appearance, never to share common characteristics again, if they were from the same ancestor they would all have characteristics pointing to each other and there ancestor
Step-by-step explanation:
Answer:
No, too many dots to the left of 0.5
And the average proportion is about 0.39, close to 0.4
Step-by-step explanation:
There are way more dots to the left of 0.5 than there are to the right of 0.5
And there are nowhere near enough dots right on 0.5 to make up for that.
So we can tell just from looking that these dots don't average out to 0.5
If you actually count the dots and add up the values of all the dots:
1 x 0.1 = 0.1
3 x 0.2 = 0.6
9 x 0.3 = 2.7
8 x 0.4 = 3.2
6 x 0.5 = 3.0
2 x 0.6 = 1.2
<u>1 x 0.7 </u> = <u>0.7</u>
30 proportions 11.5 Total of All Proportions
11.5/30 = 0.38333333... , a lot closer to 0.4 than to 0.5
Answer:
h = 4 cm
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where V is the volume, r is the radius, and h is the height.
We are given V = 64π, and r = 4, plug those in and solve for h
64π = π(4²)h
64π = 16πh
(64π)/(16π) = (16πh)/(16π) (divide both sides by 16π)
4 = (16π)/(16π)h
4 = h
