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denis23 [38]
3 years ago
5

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Mathematics
1 answer:
kolezko [41]3 years ago
7 0

Answer:

Please see attached image

Step-by-step explanation:

We can work on the products of binomials using distributive property to multiply every term of the first binomial by every term of the second one. Finally combine like terms to get the trinomial that results:

1) (2+a)(2+a)=4+2a+2a+a^2=4+4a+a^2

2) (2a+1)(2a+1)=4a^2+2a+2a+1=4a^2+4a+1

3) (2a-1)(2a-1)=4a^2-2a-2a+1=4a^2-4a+1

4) (2-a)(2-a)=4-2a-2a+a^2=4-4a+a^2

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How many feet ate in 24 yards
baherus [9]

Answer: 72 feet

Step-by-step explanation: 1 yard is equal to 3 feet, so if there are 24 yards, we can multiply 24 by 3. This can be shown using the following formula: y · 3 = f (where y = number of yards and f = feet.) So:

24 · 3 = 72

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If h + 12 =22, then h= 10. name the property
pshichka [43]

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substitution

Step-by-step explanation:

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3 years ago
What is the "least common denominator" of the following two fractions:<br><br> 1/6 and 1/2
astra-53 [7]

Answer:

it is 6

Step-by-step explanation:

2 and 6 are the denominators and the least common denominator is the number in which 2 & 6 can go in without leaving a remender and 6 is that number

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2 years ago
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150 - x = 87 what does x equal here ?
Ainat [17]

Answer:

x=63

Step-by-step explanation:

<em>Subtract by 150 from both sides of equation.</em>

<em>150-x-150=87-150</em>

<em>Simplify.</em>

<em>87-150=-63</em>

<em>-x=-63</em>

<em>Divide by -1 from both sides of equation.</em>

<em>-x/1=-63/-1</em>

<em>Simplify, to find the answer.</em>

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<em>I hope this helps you, and have a wonderful day!</em>

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3 years ago
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The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge
Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

5x+4y+5z=-1

x+y+2z=1

2x+y-z=-3

Firs we find determinant of system of equations

Let a matrix A=\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right] and B=\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]

\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}

\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply R_1\rightarrow R_1-4R_2 and R_3\rightarrow R_3-2R_2

\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]

ApplyR_2\rightarrow R_2-R_1

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]

Apply R_3\rightarrow R_3+R_2

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]

Apply R_3\rightarrow- \frac{1}{2} and R_2\rightarrow R_2-R_3

\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Apply R_1\rightarrow R_1-R_3

\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0
3 years ago
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