Answer:
y=3/4x-11
Step-by-step explanation:
When a line is perpendicular to another line, their slope is the opposite reciprocal of that. So in this case, the slope of the perpendicular line would be positive 3/4. Next, plug in the points (8,-5) in the y=mx+b formula along with the new slope. In conclusion, the new point slope formula is y=3/4x-11.
Hope this helps! :)
There will be 2 groups, and each group have 6girls and 9 boys.
12 ÷ 2 = 6
18 ÷ 2 = 9
Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.
Answer:
The correct formula should be I= 600(0.07)(2). Juanita made a very common error, she didn't put the percentage of interest in decimal form; or she didn't put the percent sign on it so we know to put it in decimal form. Her error will make a big difference; with using her calculations the answer would be $8,400. With the correct formula the answer is $84.
<u>Hope this help!</u> :)
All triangles have a total of 180° in them.
So to find x, simply take 50° and 100° from 180°:
x = 180 - 100 - 50
= 30°
So x = 30°, and thus option D