Answer:
Step-by-step explanation:
![\frac{10}{1 + 2i} \\ \\ = \frac{10}{1 + 2i} \times \frac{1 - 2i}{1 - 2i} \\ \\ = \frac{10(1 - 2i)}{ {1}^{2} - {(2i)}^{2} } \\ \\ = \frac{10 - 20i}{ {1} - {4i}^{2} } \\ \\ = \frac{10 - 20i}{ {1} - {4( - 1)} } \\ ( \because \: {i}^{2} = - 1) \\ \\ = \frac{10 - 20i}{1 + 4} \\ \\ = \frac{5(2 - 4i)}{5} \\ \\ = 2 - 4i](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B1%20%2B%202i%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%7D%7B1%20%2B%202i%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%20%20-%20%202i%7D%7B1%20%20-%20%202i%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%281%20-%202i%29%7D%7B%20%7B1%7D%5E%7B2%7D%20-%20%20%7B%282i%29%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%20%5Cfrac%7B10%20-%2020i%7D%7B%20%7B1%7D%20-%20%20%7B4i%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%20-%2020i%7D%7B%20%7B1%7D%20-%20%20%7B4%28%20-%201%29%7D%20%7D%20%20%5C%5C%20%28%20%5Cbecause%20%5C%3A%20%20%7Bi%7D%5E%7B2%7D%20%3D%20%20-%201%29%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%20-%2020i%7D%7B1%20%2B%204%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%282%20-%204i%29%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%202%20-%204i)
Answer: The cost of Parker's tuition was $25000
Step-by-step explanation:
Let x represent the cost of Parker's tuition.
Parker was able to pay for 60% of his college tuition with his scholarship. This means that the amount of his college tuition that he was able to pay is 60/100 × x = 0.6×x = 0.6x
The remaining $10,000 he paid for with a student loan. The amount remaining is x - 0.6x = 0.4x. This means that
0.4x was paid with a student loan. Therefore,
0.4x = 10000
x = 10000/0.4 = $25000
Answer:
y = x - 8
Step-by-step explanation:
The equation of the straight line which is perpendicular to the straight line y = -x -3, will be y = x + c' ....... (1), where c' is a constant.
{This is because the product of the slopes of two mutually perpendicular straight line is -1}
Now, (3,-5) point satisfies equation (1).
Hence, -5 = 3 +c', ⇒c' = -8.
Therefore, the equation of the required straight line in slope-intercept form is y = x - 8 (Answer)
{Note: The slope-intercept form of a straight line is y = mx + c, where m is the slope of the line i.e. tanФ, and c is the length of y-axis intercept.}
9 and 3. Because 9 is a composite number (3*3 = 9) and 3 is a composite number (1*3 = 3).
It's called a linear equation because the linear equation formula is y= mx+b, so they just changed the m to an a