Answer:
Step-by-step explanation:
4x+5y = 15
slope of line is -⅘
perpendicular to the line is 5/4
point-slope equation for line of slope 5/4 through (-4,-1):
y+1 = (5/4)(x+4)
Dividing 153 words by 3 minutes (153/3) would equal 51.
This means he types 51 words per minute.
Multiplying 51 by 10 would equal 510 words.
Ben can type 510 words in 10 minutes.
Answer:
C
Step-by-step explanation:
Given
(2 - 5i) - (3 + 4i) ← distribute both parenthesis
= 2 - 5i - 3 - 4i ← collect like terms
= - 1 - 9i
*When dividing with a negative, the sign changes directions.
The order of operations, is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) so you should always follow that order when you're solving equations like this one, but when it comes to multiplication and division, it just depends on whichever one comes first, and the same is true for addition and subtraction. So since there aren't any parentheses or exponents here, we will start with multiplication or division...it just depends on which one comes first in the equation. 15 ÷ 3 is first so we start with that: 15 ÷ 3 = 5:
5 + 6 x 2 - 10 = ? Now we move onto the next multiplication or division problem we see until there are no more left. 6 x 2 is the next and last one:
6 x 2 = 12 5 + 12 - 10 = ? Now we move on to addition and subtraction, and again, whatever comes first is what we do first:
5 + 12 = 17 17 - 10 = ? Last but not least: 17 - 10 = 7
So your answer is 7! Hope this was helpful!