Find the value of the determinant. 3 and -3 and -5 and -6

Answer:

Learning to subtract rational numbers by adding the additive inverse can be explained to your child as being the same as finding the opposite. This can even be described to your child as being a similar concept to one that they have worked with in the past where subtraction is the opposite of addition.

Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.

Example: 5 + (-5) = 0

In this example, (-5) is the additive inverse.

You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.

Example: 7 - 4 = 7 + (-4)

3 = 3

When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.

Step-by-step explanation:

Yes subtracting a number is the same as adding its inverse. We have to find the additive inverse of a function like [tex]\sqrt{x} +\sqrt{y}[/tex] .

The additive inverse of a number is the number which when we add to the number results zero.

Suppose we have to find additive inverse of 5. Let the additive inverse of 5 be x. So,

5+x=0

x=-5

So the additive inverse of 5 is -5.

Hence to find additive inverse of a positive number we have to just put a negative mark and for a negative number we have put positive mark in front of the number.

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Answer:

8/5x + 5 = -19

8/5x = -24 (Subtract 5)

x = -15 (Multiply by 5/8)

Answer:

17.5

Step-by-step explanation:

A = [tex]\frac{pq}{2}[/tex]

p = 7

q = 5

7 x 5 = 35

35 ÷ 2 = 17.5

Answer:

The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!

Step-by-step explanation:

Answer:

5/42

Step-by-step explanation:

11/6 - 12/7

Make denominators equal.

77/42 - 72/42

Subtract the fractions.

5/42

Split up the interval [0, 2] into n equally spaced subintervals:

[tex]\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right][/tex]

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

[tex]r_i=\dfrac{2i}n[/tex]

where [tex]1\le i\le n[/tex]. Each interval has length [tex]\Delta x_i=\frac{2-0}n=\frac2n[/tex].

At these sampling points, the function takes on values of

[tex]f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}[/tex]

We approximate the integral with the Riemann sum:

[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3[/tex]

Recall that

[tex]\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4[/tex]

so that the sum reduces to

[tex]\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}[/tex]

Take the limit as n approaches infinity, and the Riemann sum converges to the value of the integral:

[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}[/tex]

Just to check:

[tex]\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28[/tex]

Answer:

36 apples and 18 oranges

Step-by-step explanation:

4x+2x=54

6x=54

x=54/6

x=9

Apples=4x=36

Oranges=2x=18

Answer:

[tex]S=6600\pi \text{ mm}^2[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]

Step-by-step explanation:

A can of fruit is geometrically a cylinder.

We are talking about the surface area of a cylinder:

[tex]S=2\pi rh+2\pi r^2[/tex]

[tex]\pi \approx 3.14[/tex]

[tex]r: \text{radius}[/tex]

[tex]h: \text{height}[/tex]

Factoring, we have:

[tex]S=2\pi r (h+r)[/tex]

Calculating the surface area of the can of fruit:

[tex]S=2\pi (30) (80+30)[/tex]

[tex]S=2\pi (30) (110)[/tex]

[tex]S=6600\pi[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]

Answer:

21.5

Step-by-step explanation:

Arrange numbers from smallest to largest:

56, 65, 69, 77, 79, 82, 88, 89, 90

The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.

56, 65, 69, 77, 79, 82, 88, 89, 90

(65+69)/2 = 67

(88+89)/2 = 88.5

The interquartile range:

88.5 - 67

= 21.5

Answer:

A. x^11 and B. 8x.

Step-by-step explanation:

A monomial is a polynomial with just one term. That would be Options A and B.

Options C and E are trinomials.

Options D and F are binomials.

Hope this helps!

Answer:

A and B

Step-by-step explanation:

Answer:

p=(0,2) q=(0.5,0)

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

            ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                           PEACE!

Answer:

15j + 15, or 15(1 + j).

Step-by-step explanation:

We must do the work inside the parentheses first.  We get 5( 2j + j + 3), or

5(3j + 3), and then 15j + 15, or 15(1 + j).

Answer:

5( 2j+j+3)

15j + 15

Step-by-step explanation:

5( 2j + 3 + j)

Combine like terms

5( 2j+j+3)

5( 3j + 3 )

Distribute

5*3j + 5* 3

15j + 15

Answer:

[see below]

Step-by-step explanation:

We have the point of (-8,1) and a slope of three. We can use y = mx+ b to find the equation and graph the line.

I replaced 'x' and 'y' with the appropriate values, along with 'm' for three.

1 = 3(-8) + b

We can solve for 'b' to get the y-intercept.

1 = 3(-8) + b

1 = -24 + b

1 + 24 = -24 + 24 +b

25 = b

So, we can use the points (0,25) and (-8,1) to graph the line.

The question is a True or False question

Answer:

True

Step-by-step explanation:

Given

5 ≤ x ≤ 8

Required

Is [5,8] the interval of the given range?

The interval given shows that the range of x begins at 5 and ends 8.

Start by splitting the interval to different inequalities.

1. 5 ≤ x

This implies that 5 is less than or EQUAL TO x;

The keyword needed here is EQUAL TO;

The fact that the inequality gives room for EQUALITY (=) means that the interval begins exactly at 5

2. x ≤ 8

This implies that x is less than or EQUAL TO 8;

Similarly, the keyword needed here is EQUAL TO;

The fact that this inequality gives room for EQUALITY (=) means that the interval ends exactly at 8

So, this implies that the range of values of 5 ≤ x ≤ 8 is 5, 6, 7, 8

And can be represented with [5,8]

So, the statement is true.

Answer: AB= 24 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case CB ) and a and b are the other sides.  

Replacing with the values given:  

CB^2 = CA^2 + AB^2  

25^2 = 7^2 + x^2  

Where x is the value that we are searching for..

625= 49 + x^2

625 -49 = x^2

576 = x^2

√576 = x

24 = x

So, AB= 24 ft  

Feel free to ask for more if needed or if you did not understand something.  

Answer: 24 different words

Step-by-step explanation:

Given the word : ' MATH'

To determine the number of words that can be formed by Rearranging the alphabets in the word, we need to know the length of the given word.

We also need to note if there are Repetition of alphabets in the word.

Length of Given word 'MATH' = 4

since none of the alphabets in the word are repeated ;

Number of words that can be formed by Rearranging 'MATH' = 4!

4! = 4 * 3 * 2 * 1 = 24 different words

Answer:

24

Step-by-step explanation:

Hey there! :)

Answer:

-8/27.

Step-by-step explanation:

Begin by converting 2 1/4 to an improper fraction:

2 1/4 -->   [tex]\frac{9}{4}[/tex]

Divide fractions by multiplying by reciprocal:

[tex]\frac{-2}{3}* \frac{4}{9} = \frac{-2*4}{3*9} = \frac{-8}{27}[/tex]

Therefore, -2/3 divided by 3 1/4 = -8/27.

Answer:

- 8/27

Step-by-step explanation:

-2/3 ÷ 2 1/4= - 2/3 ÷ 9/4 = -2/3 × 4/9 = - 2×4/3×9= - 8/27

Answer:

15

Step-by-step explanation:

In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.

Therefore, by geometric mean property, we have:

[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]

Answer:

No

Step-by-step explanation:

Answer:

y=-10x

Step-by-step explanation:

y=-10x

y/x=-10

The correct answer is  y = -10x.

Option (c) is correct.

It is to find equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that :

constant of proportionality equal to –10.

Eliminate the first two by common sense, that would leave us with options C, and D.  the option not D because D isn't a proportion, y = -10 is just stating that variable and only a constant y equals -10, whereas, y = -10x represents a proportion.

So, the correct  answer is  y = -10x.

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Answer:

1.  perim is 43.2

2. where are the blanks? dont see any

Step-by-step explanation:

Answer:

x = 4y+28

Step-by-step explanation:

x/4 -7 = y

Solve for x

Add 7 to each side

x/4  -7+7 = y+7

x/4 = (y+7)

Multiply each side by 4

x/4*4 = 4(y+7)

x = 4y+28

Answer: X = 4y + 28

Step-by-step explanation: Our first step will be to solve for x.

To do this, we first add 7 to both sides.

This gives us x/4 = y + 7.

Now we want to multiply each side of the equation by 4.

So we get x/4(4) = 4(y + 7).

On the right, distribute the 4 through the parenthses!

Simplifying from here, we get x = 4y + 28.

So this is our final answer.

Answer:

64

Step-by-step explanation:

4/7

16x7= 112

4x16=64

This question is not correctly written

Correct Question

A sector whose central angle measures 120° has an area of 12 square inches. What is the radius of the circle?

Answer:

Radius of the circle = 3.3851375013 inches

Approximately to one decimal place, radius of the circle = 3.4 inches

Step-by-step explanation:

The formula for the area of a sector is given as:

Area of a sector = θ × π/360 × r²

θ = Central angle in degrees = 120°

Area of a sector = 12 in²

12 = (120° × π)/360 × r²

r² = 12 ÷(120° × π)/360

r² = 12 ÷ 1.0471975512

r² = 11.459178217

r = √11.459178217

r = 3.3851375013 inches

Approximately to one decimal place, radius of the circle = 3.4 inches

Answer:

x = ±6

y = 10

Step-by-step explanation:

Solve for the top part.

x² + -4 = 32

x² = 32 + 4

x² = 36

x = √36

x = ±6

Solve for bottom part.

y + y - 4 = y + 6

2y - 4 = y + 6

2y - y = 6 + 4

1y = 10

By solving the upper part and the lower part of the matrix equation, the value of x and y are:

[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]

The given matrix equation can be solved by taking the upperpart to create an equation to solve for x, and also taking the lower part to create an equation to solve for y.

[tex]x^2 + (-4) = 32[/tex] (upper part)

[tex]y + y - 4 = y + 6[/tex] (lower part)

Solve each of the equation in the matrix.

Solve the upper part for x:

[tex]x^2 + (-4) = 32\\\\x^2 - 4 = 32[/tex]

[tex]x^2 - 4 + 4 = 32 + 4\\\\x^2 = 36[/tex]

[tex]x = \sqrt{36} \\\\\mathbf{x = \pm6}[/tex]

Solve the lower part for y:

[tex]y + y - 4 = y + 6\\\\[/tex]

[tex]y + y - 4 = y + 6\\\\2y - 4 = y + 6\\\\2y - y = 4 + 6\\\\\mathbf{y = 10}[/tex]

Thus, by solving the upper part and the lower part of the matrix equation, the value of x and y are:

[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]

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Answer:

B. 3/2

Step-by-step explanation:

If f(x) and [tex]f^{-1}(x)[/tex] are inverse, that means that if we switch the x and y for f(x) and solve for y, we will get the inverse function.

Knowing that f(x) = 2x + 5, let's write this as y = 2x + 5 and switch the x and y:

x = 2y + 5

Now, solve for y:

x = 2y + 5

x - 5 = 2y

y = (x - 5)/2

That's the [tex]f^{-1}(x)[/tex] function: [tex]f^{-1}(x)=\frac{x-5}{2}[/tex]

Plug in 8 for x:

[tex]f^{-1}(x)=\frac{x-5}{2}[/tex]

[tex]f^{-1}(8)=\frac{8-5}{2}=3/2[/tex]

The answer is thus B.

~ an aesthetics lover

Answer:

B. 3/2

Step-by-step explanation:

When we have inverses, the input to one is the output of the other

f(x) = 2x+5

y = 2x+5

We want to find

f^ -1 (8)

So x becomes y and y becomes x in the inverse

That means we want y = 8 in the original function

8 = 2x+5

Subtract 5 from each side

8-5 = 2x+5-5

3 = 2x

Divide by 2

3/2 =x

This means the solution to

f^ -1 (8)  = 3/2

Answer:

1152 minutes

Step-by-step explanation:

$104.64-24.00 = $ 80.64

80.64 ÷ 0.07 = 1152

Answer:

B)

Focus = (6,6), directrix is y = 4

Step-by-step explanation:

A parabola is the locus of a point that is equidistant from a fixed line (known as directrix) and a fixed point (known as focus).

The equation of a parabola in vertex form is given as:

[tex]y=a(x-h)^2+k[/tex]

It can be further simplified to:

[tex](x-h)^2=4p(y-k)[/tex]

The directrix of this parabola is given at line y = k - p and the focus is at (h, k + p)

Given that:

[tex]y = \frac{1}{4}(x-6)^2+ 5 \\(y-5)=\frac{1}{4}(x-6)^2\\(x-6)^2=4(y-5)[/tex]

Comparing (x-6)² = 4(y-5) with (x-h)² = 4p(y-k), It can be gotten that h = 6, p =1 and k = 5

The directrix of this parabola is given at line y = k - p = 5 - 1 = 4 and the focus is at (h, k + p) =  (6, 5+1) = (6, 6)

Focus = (6,6), directrix is y = 4

Step-by-step explanation:

Refer to the two diagrams, attached

Start with the first set (soccer balls)

Hexagons (six-sides)

5 orange, 5 light green, 5 dark green, 5 light orange

total of 20 hexagons

Pentagons (5 sided black figures)

1+5+5+1 = 12 pentagons.

For the next set:

Triangles (3 sides)

5 orange+5 dark green+5 light green+5 light orange

= 20 triangles

Squares (4 sides)

5 between orange triangles+5 between light orange triangles

+ 5 between orange and green triangles

+ 5 between light orange and light green triangles

+ 10 between green and light green triangles

= 40 squares

Pentagons (5 sides)

1 at north pole + 5 between orange and green triangles

+ 5 between light green and light orange triangles + 1 at south pole

= 12 pentagons.

Summary:

Soccerball: 20 triangles + 12 pentagons + 20 hexagons

GoalScorerBall: 20 triangles + 40 squares + 12 pentagons

Step-by-step explanation:

C. ........................

Answer:

The cost of one large drink is $1.50.

(13.5-10) + 4 = (7.5 ÷ 5) = $1.50

Step-by-step explanation:

The first step is to minus the $10.00 from the $13.50, which gives us $3.50.

13.5 - 10

We've done this because the pizza is irrelevant to what we're trying to figure out, so we subtract the price of the food, which as we already know is $10, to isolate the price of the 5 drinks to make it easier to find the price of just one.

Once we've done that, we're going to add on the $4.00 they got discounted to the $3.50 in order to find the original price of the drinks without using the gift certificate.

(13.5 - 10) + 4

This gives us $7.50, or the price of 5 large drinks. But we're only looking for the price of one. So we're going to divide the 7.50 by the total number of drinks ordered.

(13.5-10) + 4 = (7.5 ÷ 5)

This gives us 1.5, or $1.50.

(13.5-10) + 4 = (7.5 ÷ 5) = $1.50