All categories

3 years ago

Find the value of x for which ℓ ∥ m.

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

Check the picture below.

Lina20 [59]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible

oksano4ka [1.4K]

Answer:

The value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$ and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

$A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right]$ , $B=\left[\begin{array}{ccc}3\\5\end{array}\right]$

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2 and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

$AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]$

$AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]$

$AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]$

$AB=\left[\begin{array}{ccc}21\\11\end{array}\right]$

Hence, the value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1 and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

5 0

3 years ago

A three-dimensional object has a depth of 8 inches and a triangular base that has an area of 12 square inches, so it has a volum

Lemur [1.5K]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Area of triangular base = 12 sq. inches

Height of a three dimensional object = 8 inches

We need to find the Volume of that object.

As we know that "Volume = Area of base × Height "

So, it becomes,

$Volume=12\times 8\\\\Volume= 96\ cubic.\ inches$

So, the volume of object is 96 cubic inches.

Hence, Option 'D' is correct.

4 0

3 years ago

Read 2 more answers

Need help ASAP thks

babunello [35]

Answer: D

Step-by-step explanation:

3 0

3 years ago

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t

Sati [7]

Each transformation will give these following coordinates

Translation 7 units right gives E(4, 4), F(8, 3), G(10, 6), and H(8, 6) as shown in brown in the diagram below

Reflection on the y-axis gives E(3, 4), F(-1, 3), G(-3, 6) and H(-1, 6) as shown in green in the diagram below

Reflection on the x-axis gives E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) as shown in red in the diagram below

Translation 5 units down gives E(-3, -1), F(1, -2, G(3, 1) and H(1, 1) as shown in purple in the diagram below

8 0

3 years ago

The speed limit is 55 kilometers per hour. What is the speed limit in miles per hour?

AleksandrR [38]

Answer:

34.2 or 34.20

Step-by-step explanation:

Sometimes they accept 34.2 without the zero, but that's up to you

8 0

2 years ago