Step 1: Simplify both sides of the equation.
3(x−5)−5=23
(3)(x)+(3)(−5)+−5=23(Distribute)
3x+−15+−5=23
(3x)+(−15+−5)=23(Combine Like Terms)
3x+−20=23
3x−20=23
Step 2: Add 20 to both sides.
3x−20+20=23+20
3x=43
Step 3: Divide both sides by 3.
3x
/3 = 43
/3
x=
43
/3
Answer:
Part A)
Part B)
Step-by-step explanation:
we have the equation of the line L in standard form
isolate the variable y
The slope of the line L is equal to
Part A) Write the equation, in slope intercept form, of the line passing through the point (2, 7) and parallel to line L
Remember that
If two line are parallel, then their slopes are equal
The equation of the line in slope intercept form is equal to
we have
substitute the values and solve for b
The equation of the line is
Part B) Write the equation, in slope intercept form, of the line passing through the point (2, 7) and perpendicular to line L
Remember that
If two line are perpendicular, then the product of their slopes is equal to -1
The equation of the line in slope intercept form is equal to
we have
Find the value of m2
substitute the values and solve for b
The equation of the line is
Answer:
8y+5
Step-by-step explanation:
Combine like terms
2y+6y=8y
8y+5
Answer:
x=-15, x=-5
Step-by-step explanation:
Answer:
The probability that both of Eduardo’s partners for the group project will be girls is
Step-by-step explanation:
Given : A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.
To find : What is the probability that both of Eduardo’s partners for the group project will be girls?
Solution :
Total number of students = 26
Number of boys = 10
Number of girls = 26-10=16
Eduardo has to pull two names out of the hat without replacing them.
For the first hat,
Favorable outcome of getting girl = 16
Total number of outcome = 26
For the second hat, without replacement
Favorable outcome of getting another girl = 15
Total number of outcome = 25
The probability that both of Eduardo’s partners for the group project will be girls is
Hope This Helps :D