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2 years ago

Construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j

Mathematics

1 answer:

beks73 [17]2 years ago

8 0

Answer:

the required matrix is can be given as

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If 5 1/3= x/3 then x=

rosijanka [135]

Answer:

Step-by-step explanation:

Hope you get it.

You would just convert 5 1/3 into a improper fraction 16/3=16/3

3 0

2 years ago

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

7 0

2 years ago

Find the lateral area of the cylinder. Give your answer in terms of pi

Artist 52 [7]

Answer:

<h2>204π units²</h2>

Step-by-step explanation:

The lateral area of the cylinder includes both the side and the ends.

The area of the side can be found by calculating the circumference of the cylinder and multiplying that by the height: A = 2π(6 units )(11 units) = 132π units².

The area of one end of this cylinder can be found by applying the "area of a circle" formula: A = πr². Here, with r = 6 units, A = π(6 units)² = 36π units². Since the cylinder has two ends, the total area of the ends is thus 2(36π units) = 72π units.

The total lateral area of the cylinder is thus 72π units² + 132π units², or 204π units²

7 0

2 years ago

Hellllpme!!!!! ASAP!

Vikki [24]

Answer:

Step-by-step explanation:

This notation says that x+x+x+x+37=69

This can be simplified to say 4x+37=69

6 0

2 years ago

Read 2 more answers

Nicholas has $50 to use while he is on a vacation. He decides to spend $5

Likurg_2 [28]

Answer:

days(d) = 50 ÷ 5

Explanation:

50 ÷ 5 = number of days

4 0

3 years ago