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Taya2010 [7]
4 years ago
6

Ming drew a triangle. The sum of the angles of the triangle is 180º.

Mathematics
1 answer:
Veronika [31]4 years ago
6 0

Answer: The second matrix

If we want to write a proper matrix to represent the given system of equations, we have to arrange it in order:

a+b+c=180

2a-b+0c=0

4a+0b-c=-5

After this, we can write the matrix with the coefficients of each equation:

\left[\begin{array}{ccc|c}1&1&1&180\\2&-1&0&0\\4&0&-1&-5\end{array}\right]

Being this, the matrix that represents the measure of each angle in Ming's triangle

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the length of a rectangle is 4in more than its width, and its perimeter is 34in find the length and width of the rectangle ​
Anna [14]

Let l and w be, respectively, the length and the width of the rectangle.

If the length is 4 inches more than the width, we have

l = w+4

Moreover, the perimeter of a rectangle is given by

2(l+w)

And we can substitute l=w+4 to get

2(w+4+w)=2(2w+4)=4w+8

We know that the perimeter is 34 inches:

4w+8=34 \iff 4w = 26 \iff w = \dfrac{26}{4}=6.5

Which implies

l=w+4=6.5+4=10.5

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Where 0.20 is the decimal form of 20% 
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Suppose y varies directly with x, and y =24 when x=8. what is the value of y when x=10?
arlik [135]
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What is f(-2) for the function f(x)= -3x + 8
NISA [10]

Answer:

f(-2)=14

Step-by-step explanation:

Given function:

f(x)=-3x+8

To find f(-2)

For the given linear function the x value represents the input values of the function or the domain of the function while f(x) represents the output values or the range of the function and is often refereed to as the y values of the function.

In order to find f(-2) we will plugin -2 in place of x in the function and evaluate it. It means our input value =-2 and we need to calculate the output value.

Thus,

f(-2)=-3(-2)+8

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3 years ago
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