Answer: D. 2
Step-by-step explanation:
Given
y-1=2(x--2)
Change signs
y-1=2(x+2)
Expand parenthesis
y-1=2x+4
Add 1 on both sides to isolate "y"
y-1+1=2x+4+1
y=2x+4
So the slope is 2
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Answer:
The surface area of the lower rectangle is 20cm x 4cm= 80 square cm
the surface area of the two triangles is 12 square centimetres
the surface area of one of the top rectangular faces is 20×5= 100 square centimetres
the surface area of the other is 20×3= 60 square centimetres
80+12+60+100=252 square centimetres is the surface area of the polyhydron
The solution to the binomial expression by using Pascal's triangle is:



<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>
Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.
We can have the Pascal tree triangle expressed as follows:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---
From the given information:
The expansion of (3x-4y)^11 will correspond to line 11.
Using the general formula for the Pascal triangle:

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:



Learn more about Pascal's triangle here:
brainly.com/question/16978014
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Answer:
n=-5
Step-by-step explanation:
You must multiply
. The laws of exponents state that when multiplying exponents of the same base, you can just add the exponents and raise the base to the sum of the exponents. So,
. Since our end product is
, n is equal to -5.
Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time

Where
is the initial velocity and
is the initial height.
We know that

Then the equation of the height is:

For a quadratic function of the form 
where
the maximum height of the function is at its vertex.
The vertice is

In this case

Then the vertice is:

Now we calculate h (6)

The maximum height is 784 feet