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Alik [6]
3 years ago
12

Alicia says the expression 2(m+4)+5 is equivalent to the expression 2m+13. Identify two properties that can be used to support A

licia's claim and justify you answer.
Mathematics
2 answers:
Alexxandr [17]3 years ago
8 0
One I can think of is the distribution of properties
9966 [12]3 years ago
5 0

Answer:

2(m+4)+5= 2 multiplied by 4 =8 and 8+5=13

2m+13 it is Distributive property of addition and multiplication

Step-by-step explanation:


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For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?
myrzilka [38]
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
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Graph the line with 1/2 slope<br> passing through the point (-5,1).
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Answer:

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Step-by-step explanation:

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Read 2 more answers
3. A line goes through the points (3,4) and (-3,6).
Galina-37 [17]

Answer:

Part a) The slope is m=-\frac{1}{3}

Part b) The equation in point slope form is y-4=-\frac{1}{3}(x-3)

Part c) The equation in slope-intercept form is y=-\frac{1}{3}x+5

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given points

m=\frac{6-4}{-3-3}

m=\frac{2}{-6}

m=-\frac{1}{3}

Part b) Write the equation of the line in point-slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{3}

point\ (3,4)

substitute

y-4=-\frac{1}{3}(x-3)  ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

y=mx+b

we have

y-4=-\frac{1}{3}(x-3)

Isolate the variable y

distribute right side

y-4=-\frac{1}{3}x+1

Adds 4 both sides

y=-\frac{1}{3}x+1+4

y=-\frac{1}{3}x+5 ---> equation in slope intercept form

7 0
3 years ago
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