A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.

(5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42

This matches choice B.

7 0

2 years ago

What is the area of the shaded region?

kolezko [41]

Answer:

110 cm^2

Step-by-step explanation:

The first thing that you need to do is find the area of triangle AFE. The area of a triangle is always base*height/2. So in this case, that would be 10*6 divided by 2, which is 30 cm. Next, you will need to know the area of triangle ECB. Using that same formula, you will get 8*10/2, which is 40 cm. Finally, you will need to find the area of the whole rectangle. The area of a rectangle is always the length times the width. In this case, you would have 10*18, which is 180 cm. To get your final answer, you need to subtract the areas of the unshaded area from the whole area. That would be 180-(30+40), which is 110 cm. I hope this helped!

6 0

2 years ago

What is the 50th term of the sequence that begins -4, 2, 8, 14....?

vagabundo [1.1K]

Answer:

$a_{50}=290$

Step-by-step explanation:

Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term $a_1=-4$ . and common difference "<em>d</em>" = 6.

Recall now the formula for the nth term ( $a_n$ ) of an arithmetic sequence:

$a_n=a_1+(n-1)\,d$

Then, using our values in the formula, we get:

$a_n=a_1+(n-1)\,d\\a_{50}=-4+(50-1)\,6\\a_{50}=-4+(49)\,6\\a_{50}=290$

7 0

3 years ago