Answer:
To find the slope of a line, we need to know the slope formula. The slope formula is:
m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:
=
==
=-1.5
That means the slope of our line is -1.5
Step-by-step explanation:
Answer:
<h2>The decimal equivalent of the number is 8976.</h2>
Step-by-step explanation:
In the given binary string, there is a one in the 4, 8, 9 and 13th place (when counted from 0 starting from the unit place).
<u>In which places of the given number, there are 0, the resultants of those places will be 0</u>.
Hence, the number will be 
.
To simplify 4/(2+7i), we multiply it by a fraction equal to one that removes the i value in the denominator. The best value to do this is the complex conjugate divided by itself, so we have 4(2-7i)/((2+7i)(2-7i)). Simplifying, we have (8-28i)/(4-(-49))=(8-28i)/53, which is a completely simplified fraction since 8 and 53 are relatively prime (or coprime), and there are no radicals in the denominator.
Setup
0.8x + 0.4y = 50
0.1x + 0.2y = 10 - Multiply by -2 and add
get
0.6x = 30
x = 50 mg compound A
.1 (50) + .2y = 10
5 + .2y = 10
.2y = 5
y = 25 mg compound B
