Answer:it’s a
Step-by-step explanation:I did it before
Answer:
y = 3x + 3
Step-by-step explanation:
y = mx + b where m= slope and b= y-intercept
the y-intercept is the point where x=0 or where the line crosses the y-axis.
This happens at (0,3) on the graph, so the y-intercept, or b, is equal to 3.
for m, slope can be defined as rise/run. So starting from a point you are given on the graph (-1,-2), count the number of spaces up you rise and how many you must go over (run) to get to the next point (0,3)
if you count, you should rise from (-1,-2) 5 spaces and move to the right (run) 1 space to get to (0,3).
rise/run = 3/1
3/1 = 3
the slope is 3.
now that you have the slope and the y-intercept, you can just plug it into the equation
y = 3x + 3
Answer:
Step-by-step explanation:
(1+√3)(2-√3)=1(2-√3)+√3(2-√3)
=2-√3+2√3-3
=-1+√3
The angle is 90 because that' s a right angle.
Answer:
Step-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
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Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
