What is the radius of a circle whose equation is x2 y2â’10x 6y 18=0? 2 units 4 units 8 units 16 units.

Step-by-step explanation:

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it tells you the answer..

The product of matries [tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right][/tex]  and [tex]\left[\begin{array}{c}-1\\-1\end{array}\right][/tex]is option c. [tex]\left[\begin{array}{c}-3\\4\end{array}\right].[/tex] By perform matrix multiplication of 2x2 matrix with 2x1 matrix.

Given the matrices:

[tex]A = \left[\begin{array}{cc}5&-2\\-6&5\end{array}\right][/tex]

[tex]B = \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]

To find the product, perform matrix multiplication.

Using the given matrices, the multiplication can be done as follows:

[tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right] \times \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]

Multiply each element in the corresponding row of the first matrix by the corresponding column of the second matrix and summing the products.

[tex]=\left[\begin{array}{cc}(5\times-1)+(-2\times-1)\\(-6\times-1)+(2\times-1)\end{array}\right][/tex]

On multiplying the term in brackets gives:

[tex]=\left[\begin{array}{cc}-5+2\\6-2\end{array}\right][/tex]

On performing the algebraic sum gives:

[tex]=\left[\begin{array}{cc}-3\\4\end{array}\right][/tex]

Therefore, the product of the matrices is [tex]\left[\begin{array}{cc}-3\\4\end{array}\right].[/tex]

Matrix multiplication is an important operation in linear algebra and has applications in various fields, including physics, computer science, and engineering.

It allows us to perform transformations, solve systems of equations, and represent linear relationships between variables.

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Answer:  y ≤ (1/2)x + 3

Step-by-step explanation:

The slope is 1/2 and the y-intercept is 3.

The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]

From the graph, we have the following highlights:

The first highlight implies that the inequality sign to use is ≤

The slope (m) is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{3 -4}{0-2}[/tex]

[tex]m = \frac{-1}{-2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The y-intercept (b) is where the line crosses the y-axis:

b = 3

The linear inequality is represented as:

[tex]y \le mx + b[/tex]

So, we have:

[tex]y \le \frac 12x + 3[/tex]

Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]

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Similar triangles that have a scale ratio other than 1 are not congruent triangles.

The true statement about the proportions of the sides is [tex]\frac{AC}{DF} = \frac 52[/tex]

The scale ratio is given as: 5 : 2

And the corresponding sides are given as:

The above highlights mean that,

[tex]\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52[/tex]

Hence, the true statement is [tex]\frac{AC}{DF} = \frac 52[/tex]

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Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

k12 test

Answer:

In total she works 21 hours and for the equation its gn=g+n

Step-by-step explanation:

got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works

Answer:

Step-by-step explanation:

1. 3 cans cost 90 cents

3=0.90 & x=2.7

by ratio:

3/0.9 = x/2.7

0.9x=8.1

x= 9

So you can buy 9 cans for 2.7 dollars

2. 10 Juice cost 3 dollars

by ratio:

10/3 = 4/x

10x=12

x=1.2

so you will spend 1.2 dollars to buy 4 juice packs

Answer:

(32)2

1024

(28) 2

784

1024-784= 240

I think nearest 10 can 256 or 225 then find square

Answer:

3.75$

Step-by-step explanation:

The part is the unknown.

Set up a proportion with the known values and solve for the part.

Using whole = $25, percent = 15%, part = ? dollars

part whole=percent 100→?25=15100

Multiply the numerator and denominator of a fraction by the

same number to determine an equivalent fraction.

StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100

Solve for the part.

?=15÷4=334=3.75

Answer:

It is 22

Step-by-step explanation:

Answer:

x=8 and is not extraneous

Step-by-step explanation:

2(x-5)+11=17

2x-10+11=17

2x+1=17

2x=17-1

2x=16

x=8

extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation

2(8-5)+11=17

2(3)+11=17

6+11=17

17=17

since it works in the orignial equation it is not extraneous

The solution to the equation 2(x - 5) + 11 = 17 is x = 8

From the question, we have the following parameters that can be used in our computation:

2(x - 5) + 11 = 17

When the like terms are evaluated, we have

2(x - 5) = 6

Divide through the equation by 2

x - 5 = 3

So, we have

x = 3 + 5

Evaluate

x = 8

Hence, the solution to the equation is x = 8

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Answer:

A and D is representing the solution.

Step-by-step explanation:

We can see that the lines (A and D) are both intersecting at 3, 1. Remember, if the lines are intersecting at a point, that point is the solution of the equation. Therefore, Option B is correct.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

Answer:

2(quotient of x) + 2..............

Answer:

What's the question of the problem

Answer:

$8.45

Step-by-step explanation:

if he has $26 to start and spends 17.55 on his friends, he has 8.45 leftover to spend on himself, but since he bought his friends pancakes for 17.55 their pancakes would have cost 8.775 each which suggests that Jeremiah likely cannot afford his own pancakes

the denominator has to be one so you multiply 1/4 by 4, and 4/8 by 4 also

2:1

The values for [tex]x[/tex] are -5 and 20

Given to us:

[tex]x^2-15x-100=0[/tex]

In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.

for that you can take the LCM of 100 and check all factors of 100.

for example,

factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.

from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,

[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]

taking out common terms, we get

[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]

to find out the value of [tex]x[/tex] equating both the factors with 0, we get

[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]

Hence, the values for [tex]x[/tex] are -5 and 20

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Answer:

C or x=-5 or x=20

Step-by-step explanation:

Answer:

The equation would be x ÷ 4 ≤ 5

Answer:

Step-by-step explanation:

a1 = 2

d = 7

n = 13

I take it you want the 13th term.

t_13 = a1 + (n - 1) * d

t_13 = 3  + (13 - 1) * 7

t_13 = 3 + 12*7

t_13 = 3 + 84

t_13 = 87

The answer is C) m∠1 + m∠2 = 90

Explanation: So ∠1 is x and ∠2 is x-4

Basically you know than ∠3 is 90° ... And a straight line is 180° ..                            So technically we can just find out 180-90 is 90(the other angle 1 + 2).

To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-

So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°

In other words you can say m∠1 + m∠2 = 90

Answer:

B. (-4-2)

Step-by-step explanation:

since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2

(-4-2)

You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.

i hope this helps :)

Answer:

x = 11

Step-by-step explanation:

(x + 13) ft = 24 ft

or, x ft = 24 ft - 13 ft

or, x ft = 11 ft

or, x = 11

Hope it helps.

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Answer:

Step-by-step explanation:

Isosceles Triangle: A triangle with two equal sides. The angles opposite the equal sides are also equal.

so

(x + 13) = 24

x + 13 = 24

x = 24 - 13

x = 11

--------------------

check

11 + 13 = 24

24 = 24

the answer is good

Answer:

4x+12

Step-by-step explanation:

4(x+3)²/x+3=4x+12

Question :- 28 divided my something =4

Answer:- let something be x

[tex] \frac{28}{x} = 4 \\ \frac{28}{4} = x \\ 7 = x \: \: ans[/tex]

Answer:

7

Step-by-step explanation:

28 divided by 7 would give you 4.

(It's easier to solve this problem if you count by 4's: 4, 18, 12, 16, 20, 24, 28)

hope this helped!

A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.

Hope this helps!

Answer: D

Step-by-step explanation:

Answer: A. 100%

Step-by-step explanation:

Answer:

At the very end, the amounts of money are:

A -- 24

B -- 24

C -- 24

If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:

A -- 12 (24 minus 12)

B -- 12 (24 minus 12)

C -- 48 (24 plus 12 plus 12)

Before that, A and C got half of what they had above from B, so:

A -- 6 (12 minus 6)

B -- 42 (12 plus 6 plus 24)

C -- 24 (48 minus 24)

And initially, B and C got half of what they had above from A, so:

A -- 39 (6 plus 21 plus 12)

B -- 21 (42 minus 21)

C -- 12 (24 minus 12)

Step-by-step explanation: