What are chemical bands

Use substitution to solve the linear system of equations. y=-3x+1 y=2x-4 (-2, 1) (1, -2) (1, 2) (-1, -2)

shtirl [24]

Answer:

Solution of the equations is (1, -2).

Step-by-step explanation:

Two linear equations given in the question are

y = -3x+1-------------(1)

and y = 2x-4 ------------(2)

To solve these equations by substitution method we will substitute the value of y from equation (1) to equation number (2).

-3x+1 = 2x-4

Now we add 3x on both the sides of the equation

3x-3x+1 = 3x+2x-4

1 = 5x-4

we will add 4 on both the sides

1+4 = 5x-4+4

5 = 5x

Then we divide the equation by 5

5/5 = 5x/5

x = 5/5 = 1

Now we solve the equation (1) for the value of y by putting x = 1

y = -3(1)+1 = -3+1 = (-2)

So the solution will be (1 -2).

6 0

3 years ago

4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

Dimas [21]

Answer:

4) The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8 ⇒ (2)

5) The equation of the image of the line is y = $\frac{3}{2}$ x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

4)

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = $\frac{3}{4}$ x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m = $\frac{3}{4}$ , so the

equation after dilation has the same slope

∵ The slope of the line before dilation is $\frac{3}{4}$

∴ The slope of the line after dilation is $\frac{3}{4}$

∵ The equation that has the slope $\frac{3}{4}$ is y =

∴ The equation of the image of the line is y = $\frac{3}{4}$ x + 8

The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8

5)

∵ The equation of the line is y = $\frac{3}{2}$ x - 4

∵ The scale factor of dilation is $\frac{3}{4}$

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is $\frac{3}{2}$

- Dilation changes the y-intercept, to find it multiply the scale

factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by $\frac{3}{4}$

∵ $\frac{3}{4}$ × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = $\frac{3}{2}$ x - 3

3 0

3 years ago

Find the perimeter of the rectangle whose adjacent sides are 3x-5y-4z and x-3y+5z

Kazeer [188]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ I'm assuming the answer is to be left in algebraic form.

Perimeter = length + length + width + width or (2 x length) + (2 x width)

Substitute the values in:

Perimeter = 2(3x - 5y - 4z) + 2(x - 3y + 5z)

Simplify:

Perimeter = 6x - 10y - 8z + 2x - 6y + 10z

Perimeter = 8x - 16y + 2z <== this is the answer

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0

3 years ago

(x-4)2 + (y + 3)2 =

White raven [17]

Answer:

the answer is 2x+2y-2

then all you need to do is write in standard form.

7 0

3 years ago

Write a real world situation of |x-14|=3

natita [175]

X -14 +14={3+14}
×=17
answer is 17 .

7 0

3 years ago

What are chemical bands​

What are chemical bands