The length of the shorter piece is 30
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions that are made up of constants, terms, factors and variables.
They also contain mathematical operations such as division, addition, multiplication, subtraction, etc
From the information given, we have;
Let the length of one piece be x
Let of the other piece is 5x
5x + x = 180
collect like terms
6x = 180
Make 'x' the subject
x = 180/ 6
x = 30
Thus, the length of the shorter piece is 30
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Step-by-step explanation:
I think substitution would be the easiest since you already have one of the variables solved for.
(You can just set the equations equal to each other since they both equal y).
Now, to get the points, plug in x = 4 and x = -1 into one of the equations (I'm going to plug them into y = x+1 because that one is much simpler)
So, your final points are:
(4,5) and (-1,0)
Answer:
arc length = circumference • [central angle (degrees) ÷ 360]
where circumference = [2 • π • radius]
We are not given the radius so we'll say it is 1.
arc length = 2 * PI * radius * 62 / 360
arc length = 6.2831853072 * 1 * 0.1722222222
arc length = 1.0821041362 (where radius = 1)
Source: https://www.1728.org/radians.htm
Step-by-step explanation:
Answer:
C. (13,8)
Step-by-step explanation:
<u>Midpoint formula is (x²+x¹</u><u> </u><u>/2 , y²+y¹</u><u> </u><u>/2 )</u>
Midpoint= L(3,5)
J(-7 , 2) ; K(x , y)
(3,5) = (x+-7 /2 , y+2 /2)
x-7 /2 = 3
x-7 = 6
x= 13
y+2 /2 =5
y+2 = 10
y= 8
Therefore K is K(13, 8)
Actual length of the room
6 * 40
240 inches
Actual width of the room
4 * 40
160 inches
Area of the room
240 * 160
38400 inches^2
Hope this helps:D
Have a great rest of a brainly day!