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2 years ago

What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?

Mathematics

1 answer:

Anastasy [175]2 years ago

3 0

Answer:

(-6,0.5)

Step-by-step explanation:

(-9 + -3)÷2= -6

(-4 + 5)÷2=0.5

(-6,0.5)

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Is X=[−14−32] the inverse of A=[15−25310−110]?

Elis [28]

The product of the matrices is an identity matrix. Therefore, X and A are inverse of each other.

The matrices are given as:

$X = \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]$

$A = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right]$

To check the matrices are inverse, we calculate their products.

$A \times X = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right] \times \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]$

Multiply the rows of A by the column of X.

This gives

$A \times X = \left[\begin{array}{cc}\frac 15 \times -1 + \frac{3}{10} \times 4&\frac 15 \times -3 + \frac{3}{10} \times 2\\ -\frac 25 \times -1 - \frac{1}{10} \times 4&-\frac 25 \times -3 + -\frac{1}{10} \times 2\end{array}\right]$

$A \times X = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The product of A and X is an identity matrix.

This means that; both matrix are inverse of each other

Read more about matrix at:

brainly.com/question/4017205

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2 years ago

Read 2 more answers

Using Algebra tiles, show a model of 3x.

jenyasd209 [6]

its the first option.

tiles of X and tiles of 1 are different

3 tiles of "X" = 3X

3 tiles of " 1 " = 3

option 3 does not mean 3X, it just means 3X + 3

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3 years ago

What is 1/5 of 37% of 4,300

Tom [10]

Firstly we calculate 37% of 4300
so 37% of 4300=37×4300/100=1591
now 1/5 of 1591= 1×1591/5= 318.2

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3 years ago

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What is the area of a circle with a radius of 1 foot? *Ht2 2*** seft 2 x ft?

Svetach [21]

Answer:

Step-by-step explanation:

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3 years ago

The rule for Function A is y= -2/3x

Rom4ik [11]

Answer:

Both functions have negative rates of change

Function B has a greater rate of change than Function A

Step-by-step explanation:

we know that

Function A

The rule for Function A is

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

This is the equation of a proportional relationship (the line passes through the origin)

The slope is equal to $m=-\frac{2}{3}$

Function B

Find the equation of the function B

we have the points (-2,0) and (0,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-2-0}{0+2}$

$m=\frac{-2}{2}$

$m=-1$

The equation of the function B in slope intercept form is equal to

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

Verify each statement

Option 1) Both functions have negative rates of change

The statement is true

Because, the rate of change is the slope of the linear equation

Function A ----> $m=-\frac{2}{3}$

Function B ----> $m=-1$

Option 2) Both functions have the same rate of change.

The statement is false (see the explanation)

The rate of change are different ( m=-2/3 and m=-1)

Option 3) When graphed, Function A and Function B are parallel

The statement is false

When graphed, Function A and Function B are intersecting lines, because their slopes are different

Option 4) Function B has a greater rate of change than Function A

The statement is true

Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes

therefore

1 > 2/3

6 0

3 years ago

What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?​

What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?