Which matrix respresents the system of equations shown below?
3x - 2y = 12
4x - y = 9

Answer:

That is a hard question

Step-by-step explanation:

Answer:

3 the answer is 3

Step-by-step explanation:

Answer:

25 hours, charge= 800

Step-by-step explanation:

300 + 20x = 500 + 12x

8x = 200

x = 25

300 + 20(25)

300+500 = 800

500 + 12(25)

500 + 300 = 800

Answer:

The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C

Step-by-step explanation:

If two parallel lines intersected by a line, then there are some pair of angles are formed

In the given figure

∵ Lines l and m are parallel

∵ They are cut by transversal p

∵ ∠2 and ∠3 are in the corresponding position

→ By using the 1st rule above

∵ Corresponding angles are congruent

∴ ∠2 ≅ ∠3

∴ m∠3 = m∠2

∵ m∠2 = 40°

∴ m∠3 = 40°

The statement which justifies Andrea's statement is "Corresponding angles are congruent"

Answer:

The answer should be y ≤ 1/3x - 1 I believe

Answer:

He walks 1030 meters if he walks across the park.

Step-by-step explanation:

In order to solve this question we will need to know that [tex]c^{2} = a^{2} + b^{2}[/tex] (were c is the length of the hypotenuse (the diagonal line) of a right angle triangle, and a and b are the legs (the sides that form a right angle). So them means that.....

Let "c" be the distance he will need to walk if he was going to go through the park

Let "a" be the distance he walks on King Street

Let "b " be the distance he walks on Queen Street, then.....

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

(Now plug in the values of a and b and get.....)

c = [tex]\sqrt{500^{2} + 900^{2} }[/tex]

c = [tex]\sqrt{1060000 }[/tex]

c = 1029.563014............

So I would assume that you have to round to the nearest meter. And as a result we get 1030 meter.

Answer:

x^2+4y^2-8x+8y+4=0

Step-by-step explanation:

The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

An ellipse can be defined as a shape that looks like an oval circle.

The equation of an ellipse is

[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]

Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.

The vertices of an ellipse are (0,-1) and (8,-1).

The endpoints of the minor axis are (4,1) and (4,-3).

The following equations take into account the different properties of an ellipse:

[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]

[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]

We get that h = 4 k = -1, a = 4, and  b = 2

The standard form of the given ellipse is

[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]

So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.

Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

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Answer:

1/2 / 2/3

(1*3) / (2*2)

3/4

Two-thirds of a half equals three-quarters

Answer:

no question

Step-by-step explanation:

it cant thats not an answet

Answer:

width:6, length:18

Step-by-step explanation:

You can subsititue width with x.

The length would then be 2x+6.

The value of width and length combined is 24.

The equation would be (2x+6)+(x)=24

Simplify to 3x+6=24

Subtract 6 from both sides giving 3x=18

Simplify to x=6

There's the width. Now you can substitute to find the length.

(6x2)+6=18

I hope this is right.

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

The standard form of the given expression is 7x - y = 17

The equation of line in standard form is expressed as Ax + By = C

Given the equation

y + 3 = 7(x - 2)

Expand

y + 3 = 7x - 14

y -7x = -14 - 3

-7x + y = - 17

7x - y = 17

Hence the standard form of the given expression is 7x - y = 17

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Answer:

1.) slope = 2

2.) slope = [tex]-2\frac{2}{3}[/tex]

3.) slope = [tex]\frac{2}{3}[/tex]

4.) slope = [tex]\frac{1}{4}[/tex]

5.) slope = [tex]1\frac{8}{9}[/tex]

6.) slope = -2

7.) slope = -3

Step-by-step explanation:

In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.

Now as I said before we know this......

Let "m" be the slope, then....

[tex]m = \frac{y}{x}[/tex]

So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.

1.)

[tex]m = \frac{y}{x}[/tex]

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

[tex]m = 2[/tex]

2.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{4}{-1.5}[/tex]

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

3.)

[tex]m = \frac{y}{x}[/tex]

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

4.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{1}{4}[/tex]

5.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{8.5}{4.5}[/tex]

[tex]m = 1\frac{8}{9}[/tex]

6.)

[tex]m = \frac{y}{x}[/tex]

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

[tex]m= -2[/tex]

7.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{3}{-1}[/tex]

[tex]m = -3[/tex]

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

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Answer: Yes, your correct because the square root of 61 is 7.8, and that's inbetween 7 and 8

I hope this helps, and Happy Holidays! :)

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Answer:

-3/1 or -3

Step-by-step explanation:

you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer

Answer:

-3/1

Step-by-step explanation:

i think thats the answer

Answer:

student a

Step-by-step explanation:

i just took the exam

Answer:

x=0

Step-by-step explanation:

The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)

Answer:

Answer down below Branliest Please

Step-by-step explanation:

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Answer: (v + 7)(v -3)

Step-by-step explanation:

(v +7)(v -3)

v x v = v^2

v x -3 = -3v

7 x v = 7v

7 x -3 = -21

v^2 -3v +7v -21 = v^2 +4v -21 = 0

Answer:

The answer is (v - 3)(v + 7).

Step-by-step explanation:

First, you have to elaborate it :

v² + 4v - 21 = 0

v² - 3v + 7v - 21 = 0

Next, you have to collect like terms :

v(v - 3) + 7(v - 3) = 0

(v - 3)(v + 7) = 0