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2 years ago

Can some one help who actually knows the answer!

Mathematics

1 answer:

Naya [18.7K]2 years ago

6 0

Answer:

well explict means stated clearly and in detail, leaving no room for confusion or doubt. and implict means implied though not plainly expressed.

Step-by-step explanation:

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If the lengths of the legs of a right angle are 5 and 7, what is the length of the hypotenuse?

Natalija [7]

Answer:

7^2 + 5^2 = 49 + 25 = 74

hypotenuse = square root of 74

Answer is B

Step-by-step explanation:

6 0

2 years ago

what are the hypothesis and conclusion of the following statement write it as a conditional residents of key west live in florid

vladimir1956 [14]

In conditional form, the hypothesis is "if they live in key west" and the conclusion is "then they live in florida"

5 0

3 years ago

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 $R_3\rightarrow R_3-2R_2$

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

Apply $R_2\rightarrow R_2-R_1$

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

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

What is the volume of a rectangular prism that has a length, width, and height of 1/2 m, 1/4 m, and 2/3 m, respectively?

Talja [164]

V = L * W * H
V = (1/2)(1/4)(2/3)
V = (1 * 1 * 2) / (2 * 4 * 3)
V = 2/24 reduces to 1/12 m <===

8 0

3 years ago

What is the area of the triangle? On a coordinate plane, a triangle has a base of 8 units and a height of 6 units. 24 square uni

LekaFEV [45]

Answer:

Step-by-step explanation:

8*6=48/2=24

6 0

3 years ago

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