Answer:
The answer is 92.
Step-by-step explanation:
Hope it helped good luck dude(☞ﾟヮﾟ)☞
Considering the definition of a line, the equation of the line that passes through the point (-2, 1) and has a slope of 1/3 is y= 1/3x + 5/3.
<h3>Linear equation</h3>
A linear equation o line can be expressed in the form y = mx + b
where
- x and y are coordinates of a point.
- m is the slope.
- b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
<h3>Line in this case</h3>
In this case, you know:
- The line has a slope of 1/3.
- The line passes through the point (-2, 1).
Substituting the value of the slope m, you get:
<u><em>y= 1/3x + b</em></u>
Replacing the value of the point in previous expression, the value of the ordinate to the origin b can be obtained:
1= 1/3× (-2) + b
1= - 2/3 + b
1 + 2/3= b
<u><em>5/3= b</em></u>
Finally, the equation of the line is y= 1/3x + 5/3.
Learn more about equation of a line:
brainly.com/question/20842634
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6/15 = 2/c...this is a proportion, so we must cross multiply
(6)(c) = (15)(2)
6c = 30..divide both sides by 6
c = 30/6
c = 5
and if u will notice...6/15 = 2/5...proportions are nothing but equivalent fractions.
Consider, please, this solution/explanation:
1. suppose, that number of cars is 'x', numbers of buses is 'y'.
2. according to the condition 'a total of 32', it means that x+y=32. This is the 1st equation.
3. according to the condition in one car are 3x persons, in one bus are 27y persons, and totaly 3x+27y=408 people. This is the 2d equation.
4. if to solve the system of two equations:
Answer: 13 - b., 19 - c.
Answer:
-5≤x <1
Step-by-step explanation:
sqrt( x+5) / sqrt(1-x)
The numerator must be greater than zero since it is a square root
sqrt(x+5) ≥0
Square each side
x+5≥0
x≥-5
The denominator must be greater than zero (the denominator cannot be zero)
sqrt(1-x)> 0
Square each side
1-x > 0
1>x
Putting these together
-5≤x <1
