Answer:
C: y+7=2/5(x+4)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:
y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form
y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C
Answer:
The answer is
<h2>20 + 56i</h2>
Step-by-step explanation:
(2 -10i) (-5 + 3i)
Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>
That's
2(-5) + 2(3i) - 10i(-5) - 10i(3i)
<u>Multiply the numbers and simplify</u>
We have
- 10 + 6i + 50i - 30i²
From the rules of imaginary numbers
<h3>i² = - 1</h3>
So we have
- 10 + 56i - 30(- 1)
- 10 + 56i + 30
Simplify
30 - 10 + 56i
We have the final answer as
<h3>20 + 56i</h3>
Hope this helps you
Answer:
70%
Step-by-step explanation:
The number of students with an April birthday and candles is in the upper left, 14. That’s the “part” Percentage is part/whole x 100.
To figure out the “whole”, you need to add up all the students in the first row of the table, because those are the April birthdays. 14 + 6 = 20
14/20 = 0.7 x 100 = 70%
Step-by-step explanation:
the rate of change is the slope of the line connecting both points.
the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here
x changes by -10 units (from -24 to -34)
y changes by -10 units (from 60 to 50).
the slope or rate of change is -10/-10 = 1/1 = 1
