Solve for [x]. The pair of polygons are similar.
5x+2
B
16
The scale factor from A to B is 2:9

The matrix expressions are:

The rule for matrix product states that:

If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.

Then, the dimension of the product matrix is: m by p

Using the above rule, we have:

Expression 1:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{cc}12a + 7c&12b + 7d\\5a + 3c &5b + 3d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

By comparison, we have:

12a + 7c = 2

5a + 3c = 3

12b+ 7d = -1

5b + 3d = 2

Using a graphing tool, we have:

a = -15, b = -17, c = 26 and d = 29

Hence, the matrix expression is:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

Expression 2:

[tex]\left[\begin{array}{cc}6.75&3\\-9&-4\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{c}6.75a +3b\\-9a - 4b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]

By comparison, we have:

6.75a + 3b = 8

-9a - 4b = 5

Using a graphing tool, the system of equation has no solution

Hence, the matrix expression cannot be solved

Expression 3:

[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{c}-2a +3b &-4a +5b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

By comparison, we have:

-2a + 3b = 6

3a + 5b = 8

Using a graphing tool,

a = 3 and b = 4

Hence, the matrix expression is:

[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

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Answer:

i think its D but i'm not very sure. try it

Step-by-step explanation:

Answer:

y= x + 3

Step-by-step explanation:

I have the same question and that was the correct answer

y= x+ 3 is flatter.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

As, the slope of y = x + 3 is 1.

So, the gradient is 1.

So, y = 2x + 3 is flatter

The slope of 2x-1 is 2

and, the slope of y= -4x+3 is -4

and the gradient is -4.

So, y= -4x +3 is steeper.

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Answer:

$11.40

Step-by-step explanation:

Subtract the bookmark from the total amount

82.00 - 2.20 = 79.80

Divide the answer by how many books you purchased

79.80/7

= ($11.40)

Answer:

the answer is 22 hope this helps

Step-by-step explanation:

7(-7)= -49

-49+149=100

100-56=44

44/2=22

Answer:  Equal to.

Step By Step Explanation:

Answer:

they are equal

Step-by-step explanation:

5/6 * 250

(5 * 250)/6

1250/6

208.33

(1/3 * 250) + (1/2 * 250)

(250/3) + (250/2)

500/6 + 750/6

1250/6

208.33

Answer:

28 hours for 7 days

Step-by-step explanation:

8/2 =

4

4 hours for 1 day

1 x 7 =

7

7 x 4

28

28 for 7 days

Answer:

I would say the answer is 28

Step-by-step explanation:

In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.

Mulitply 4*7

or

2 days: 8 hrs

4 days: 16 hrs

6 days: 24 hrs

7 days: 28hrs

Answer:

  2mn

Step-by-step explanation:

The expanded form of the square can be found using the distributive property.

__

  (m -n)² = (m -n)(m -n) = m(m -n) -n(m -n) . . . use the distributive property

  = m² -mn -nm +n² . . . . use it again

  = m² -2mn +n² . . . . . . combine like terms

The missing term is 2mn.

Answer:

Step-by-step explanation:

Given:

1) -3x -5 = 6

2)- 4 ( y - 2 ) =12

To Find:

Solved:

1)-3x -5 = 6

Transpose -5 from LHS to RHS

Transpose -3 from LHS to RHS

2) -4(y-2) = 12

Apply distributive property

Transpose 8 to RHS

Transpose -4 to RHS

Answer:

the answer is x=16

Step-by-step explanation:

trust me bro

Answer:

1 and 1/12

hope this helped

Answer:

30°

Step-by-step explanation:

x+3x+(x-10)°+5x+(2x-10)°=360°

=>4x+x-10°+5x+2x+10°=360°

=>12x=360°

=>x=360°/12

=>x=30°

Answer:

Its a categorical variable

Step-by-step explanation:

I took the test on edge

Answer:

T-shirt size is a categorical variable.

Step-by-step explanation:

I used chatopenai.com

Answer:

1) 104

2) 132

3) 110

4) 112

5) 105

Step-by-step explanation:

These questions involve the sum of interior and exterior angles.
for the first 4 questions,

Use the formula: (n-2)*180-(sum of remaining angles)

For example q1, it has 4 angles

So substitute 4 into n

(4-2)*180=360

64+99+93+x=360

x=104°

(Do the same for q2-4)

For q5,

Sum of exterior angles of ANY polygon=360°

Therefore,

88+75+92+x=360

x=105°

Pls double check the answers yourself with a calculator, hope you find it helpful! :)

Answer:

9/20

Step-by-step explanation:

i tried and got it wrong. it is 9/20

Answer: d = 11 bc 26 - 15 would equal 11

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

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Answer:

36.28 units

Step-by-step explanation:

perimeter of rectangle and perimeter of semi circle

2(l +h) + 1/2 (pid) + d

2(4+9)+ 1/2 (3.14 ×4) +4

2(13) + 10.28

=36.28 units

Answer:

1.6 to nearest tenth.

Step-by-step explanation:

This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).

Equation of that line:

Slope = -1/3  so we can write:

y - 0 = -1/3(x - 0)

So its y = -1/3 x,

The point where it intersects with  the given line is now found:

-1/3x = 3x + 5

10/3 x = -5

x = -5 *3/10 =  -1.5.

- and the y coordinate = 3(-1.5) + 5 = 0.5.

So the point is (-1.5, 0.5)

and the required distance = √((-1.5)^2 + 0.5^2)

=  1.58

= 1.6 to nearest tenth.

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

We can make an infinite amount of other similar triangles just by changing the scale factor.

Answer:

4.05

Step-by-step explanation:

30/7

Step-by-step explanation:

1.5kg : 350g

1kg = 1000g

So, 1.5kg = 1500g

1500g : 350g

1500/350 = 30/7

The answer is 30/7.

Answer:

A Square, Rectangle, and a Rhombus

Step-by-step explanation:

I think that is all of them.

Answer:

5/24 square mm

Step-by-step explanation:

A = lw

A = 5/8 x 1/3

A = 5/24

Answer:

20h + 10 = 15h + 5

Step-by-step explanation:

Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-4}\\ b=\stackrel{opposite}{-5}\\ \end{cases} \\\\\\ c=\sqrt{(-4)^2 + (-5)^2}\implies c=\sqrt{41} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{\sqrt{41}}}\implies \cfrac{-4}{\sqrt{41}}\cdot \cfrac{\sqrt{41}}{\sqrt{41}}\implies -\cfrac{4\sqrt{41}}{41} \\\\\\ sec(\theta )\cfrac{\stackrel{hypotenuse}{\sqrt{41}}}{\underset{adjacent}{-4}}\implies -\cfrac{\sqrt{41}}{4}~\hfill cot(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{opposite}{-5}}\implies \cfrac{4}{5}[/tex]

Answer:

C' (- 25, 5 )

Step-by-step explanation:

since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5

C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )

Answer:

Yes

Step-by-step explanation:

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Answer:

-30

Step-by-step explanation:

-20-8=-28

-28-12

=-30

Answer:

x+46

Step-by-step explanation:

x+46 because you do math and dont worry ive done this problem pls can you help me with my problem

What are polynomials?

Polynomials are mathematical expressions made up of many terms.

How to simplify a polynomial?

To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.

we solve ⇒ 4(-8x+5)-(-33x-26)

To distribute

add up the numbers

Combine like terms.

Multiply by 1.