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Answer:

QUESTION 1

The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

Then, we use this value to find the other one

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

Then, we use this value to find the other one

Therefore, the solution is (6,0), the same showed graphically.

Step-by-step explanation:

If you don't get it

question 1

solution is (-1,-5)

question 2

solution is (6,0),

The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The system of linear equations:

x+6y=6

y=1/3 x−2

Part A: Graph is shown in the picture.

Part B: The intersection point is (6, 0)

x = 6

y =0

Part C: By substitution method.

[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]

x  = 6

y = 0

Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

Learn more about the linear equation here:

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Answer:

YUP!

Step-by-step explanation:

Let's take the 60 degrees angle first. 180-60=120

3x+x=4x

120/4=30

So you were right!

:))

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

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

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

Answer:

i'm assuming you want to solve for t?

t=(2√3+3)/6

Answer:

3

Step-by-step explanation:

Substitute the possible answers.

ANSWER:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is B. 12:1

Answer:

Step-by-step explanation:

Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.

  (Blank 1) × 1 = 1   ⇒   (Blank 1) = 1

  (Blank 2) × 8x = 16x²   ⇒   (Blank 2) = 16x²/(8x) = 2x

  (Blank 3) = (Blank 1) × (Blank 2)   ⇒   (Blank 3) = 1 × 2x = 2x

  (Blank 4) = 8x × 1 = 8x

Answer:

1. 1

2. 2x

3. 2x

4. 8x

Step-by-step explanation:

Answer:

  each coordinate is multiplied by 1/3

Step-by-step explanation:

Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.

For example, a coordinate of (3, -9) scaled by 1/3 will become ...

  (1/3)(3, -9) = (1, -3)

__

Additional comment

If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.

The attached graph is an illustration of dilation by a factor of 1/3.

Answer:

use the formula y=mx+c

Step-by-step explanation:

m is the gradient

c is the y axis intercept

Answer:

x=1, y=-3. (1, -3).

Step-by-step explanation:

6x-9=y

y=-3x

-----------

6x-9=-3x

6x-(-3x)=9

6x+3x=9

9x=9

x=9/9

x=1

y=-3(1)

y=-3

Answer:

9 kg of tomatoes

Step-by-step explanation:

Cost of 40 kg of tomatoes = $200

Cost of 1 kg of tomatoes = 200/40 = $5

For $45, we get x kg of tomatoes,

kg       $

1          5

x         45

=> 45*1/5 = x kg (by cross multiplication)

=> 45/5 = x kg

We get 9 kg of tomatoes for $45.

Hope you understood!

Answer:

(9 Kg) You can get 9 kilograms of tomato's with 45$

Step-by-step explanation:

Answer:

wait what? hmmm hmmmmmm

Answer: Sum of the roots:  √19 - √19 = 0

Product of roots:  (√19)(-√19) = -19

Step-by-step explanation:

y2 - 19 = 0

add 19 to both sides

y2 = 19

take square root of both sides

y = ±√19

So y = √19 or y = -√19

Answer:

a.

Step-by-step explanation:

4x+y=20 multiplied by (-4) gives you -16x-4y=-80

Step-by-step explanation:

6/15 = 12/30 = 24/60 = 48/75

Answer:

Step-by-step explanation:

Answer:im pretty sure its d

Step-by-step explanation:

Answer :

4x-ay=15

Step-by-step explanation:

Answer:

13°

Step-by-step explanation:

Since these are complementary angles, we can add them together, set it equal to 90, and solve for x:

[Equation] (-6x + 53)° + (-9x + 22)° = 90°

[Distribute] -6x° + 53° + -9x° + 22° = 90°

[Combine like terms] 15x° + 75 = 90°

[Subtract 75 from both sides] 15x° = 15

[Divide both sides by 15] x = 1°

Then, plug-in our x for angle ADC:

[Given] (-9x + 22)°

[Distribute] -9x° + 22°

[Subsititue / plug-in] -9(1)° + 22°

[Multiply] -9° + 22°

[Combine like terms] 13°

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49

[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]

____________________________________________

Answer:

8x-29y Sorry if wrong!

Step-by-step explanation:

You have to distribute first and then combine like terms.

Answer:

8x-29y

Step-by-step explanation:

You have to distribute first and then combine like terms.

And that is where you get your answer.

Hope this helps.

Step-by-step explanation:

8k - 12 = 3

8k = 3 +12

8k = 15

k = 15/8

k = 1.875

Answer:

8k-12=3

8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]

8k=15

k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]

k=1.875

Answer:

Hes right 304.8 millimeters in a foot.

Answer:

The solution is given in the photo

Answer:

Step-by-step explanation:

HOPE THIS HELPS :)

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Given the following data:

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]

Where:

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Read more: https://brainly.com/question/2707920