The formula is y2 - y1/x2 - x1. The answer would be 3/4 once simplified.
Answer:
There are 68 students in the class after these changes.
Step-by-step explanation:
g = number of girls
b = number of boys
Because the ratio of girls to boys is 3:1, initally the equation was
g = 3b
Finally, we have
g-1 girls because one girl dropped the class
b+3 boys because three more boys signed up
Because the new ratio of girls to boys is 5:2, the new equation is
(g - 1)/(b + 3) = 5/2
Cross multiply.
2(g - 1) = 5(b + 3)
2g - 2 = 5b + 15
2g - 5b = 17
Then, substitute g (which is 3b because the first equation was g = 3b)
2(3b) - 5b = 17
b = 17
g = 3b = 3*17 = 51
g = 51
The final number of students in the class = 17 + 51 = 68
Answer: 68
X/4 = 3/8
multiply both sides by 4 to isolate the variable
x = 3/2
The correct answer is B) 3/2.
Step-by-step explanation:
The slope of given line is 4.
So the slope of line perpendicular to it will be -1/4.
So the equation is
(y-10) = - 1/4 (x-4)
4y-40 = 4 - x
x+4y=44
Answer:
-20/3
Step-by-step explanation:
First simplify the left side of the equation
243^(1/5x)= (243^1/5)^x
=(![\sqrt[5]{243}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B243%7D)
)^x
= 3^x
Now that the left side is simplified, let's move to the right side
81^(x+5)=( 
)^(x+5) simplify 81 to base 3^4
=
use the product of powers property to multiply the exponents together
=
With both sides simplified, let's rewrite the equation, this time in simplified terms
=
x=4x+20 because both the bases are same, their exponential value must also be equal
-3x=20 solve the algebraic equation for x
x=
