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2 years ago

White alphabet used to denote matrix and its element with example

Mathematics

1 answer:

Oksanka [162]2 years ago

3 0

Answer:

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Step-by-step explanation:

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The points A(-3, 2) and B(1,4) are vertices of an isosceles triangle ABC, where angle B = 90°

almond37 [142]

Answer:

Length of AB = 4.4721

Equation of line BC: y = -2x + 6

Step-by-step explanation:

To find the length of the line AB, we just need to find the distance between the points A and B.

We can find distance with the equation:

$distance = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}$

$distance = \sqrt{(-3 - 1)^2 + (2 - 4)^2}$

$distance = 4.4721$

To find the equation of the line BC, first let's find the slope of the line AB.

This slope is given by:

$m_{AB} = \frac{ y_A - y_B }{ x_A - x_B }$

$m_{AB} = \frac{ 2 - 4 }{ -3 - 1} = \frac{1}{2}$

The line AB is perpendicular to the line BC (because mB = 90°), so the slope of line BC is:

$m_{BC} = -\frac{1}{m_{AB}} = -2$

so the line BC is:

$y = -2x + b$

To find the value of b, we can use the point B (1,4):

$4 = -2 + b$

$b = 6$

So we have:

$y = -2x + 6$

4 0

2 years ago

What is the surface of this rectangular prism

Rama09 [41]

To find the surface area,here's the formula:
base area ×2 + side area ×4

thus, we have:
5×5×2 + 12×5×4
=50 + 240
=290

Thus the answer is 290 in^2

hope it helps!

5 0

2 years ago

If the temperature is -1 degrees and it drops 5 degrees overnight what is the new temperature?

EastWind [94]

Answer:

-6

Step-by-step explanation:

6 0

2 years ago

The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -

ra1l [238]

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

5 0

2 years ago

What is the smallest whole number that will round up or down to 300 when we are rounding to the nearest hundred

TEA [102]

251 is the smallest whole number

7 0

2 years ago

White alphabet used to denote matrix and its element with example​

White alphabet used to denote matrix and its element with example