Answer:
12
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169
169-25= 144
take the square root of 144
answer: 12
The area of the rectangle:
A = Length x Width = JK x KL = 36 cm²
If JK ≥ 4 cm, we have to prove that KL ≤ 9 cm.
Answer:
Assume that a. KL > 9 cm.
Then the area of rectangle JKLM is greater than b. 36 cm²,
which contradicts the given information that c. side is at least 4 cm long.
So the assumption must be false. Therefore, d. KL ≤ 9 cm.
Answer:
c+2c+12=75
c = 21
Steps:
c+2c+12=75
Simplify both sides of the equation.
c+2c+12=75
(c+2c)+(12)=75(Combine Like Terms)
3c+12=75
3c+12=75
Subtract 12 from both sides.
3c+12−12=75−12
3c=63
Divide both sides by 3.
Answer:
Step-by-step explanation:
slope intercept form is y = mx + b
b is the y intercept ( crossing y axis value).... by inspection b = -4
m is the slope of the line, Slope = m = 1/4 note: the slope is positive
the slope equals the 'rise' over 'run'
if the line moves up the slope is positive, if the line moves down the slope is negative
the rise is how many y units does the line go 'up' or 'down'
the run is how many x units does the line go 'left' or 'right'
the rise = 1 Y unit
the run = 4 X units
y = mx + b m =1/4 b = -4
y = (1/4)x + (-4)
y = (1/4)x - 4
graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for every FOUR X units (the run)
A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.
B. (2,3)
