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1 year ago

What is the value of x in the equation 3x-4y= 65 when y=4?

Mathematics

2 answers:

Sophie [7]1 year ago

6 0

X=27

Step by step
3x-4y=65. Y=4

3x-(4x4)=65

3x-16=65

3x=65+16

3x=81

X=81/3

X=27

77julia77 [94]1 year ago

6 0

Answer:

x = 27

Step-by-step explanation:

3x - 4y = 65

When y = 4;

3x - 4(4) = 65

3x - 16 = 65

3x = 65 + 16

3x = 81

x = 81/3

x = 27

Hence, value of x is 27.

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2 years ago

Compare and Contrast how you would factor x^2−9 and x^2+9. For full credit, make sure you explain why they are factored differen

marishachu [46]

The factored form of the expression $x^2 - 9$ is $(x+3)(x-3)$

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function $x^2-9 \ and \ x^2+9$

For the function $x^2 - 9$

$=x^2-9\\=x^2-3^2$

Using the difference of two squares:

$a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)$

For the expression x^2 + 9

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Learn more on factorization here: brainly.com/question/20293447

7 0

2 years ago

Write a sequence of transformation that maps quadrilateral ABCD onto quadrilateral A. B. C. D IN THE PICTURE

Mice21 [21]

Answer:

The sequence of transformation is reflected across the y-axis and translated 2 units down

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) translate h units to the right

∴ Its image is (x + h , y)

- If point (x , y) translate h units to the left

∴ Its image is (x - h , y)

- If point (x , y) translate k units up

∴ Its image is (x , y + k)

- If point (x , y) translate k units down

∴ Its image is (x , y - k)

* Now lets solve the problem

∵ The vertices of figure ABCD are:

A (-1 , 3) , B (1 , 0) , C (2 , 3) , D (1 , 4)

∵ The vertices of figure A"B"C"D" are:

A" (1 , 1) , B" (-1 , -2) , C" (-2 , 1) , D" (-1 , 2)

* Lets compare between ABCD and A"B"C"D"

∵ All x-coordinates has opposite signs

-1 ⇒ 1 , 1 ⇒ -1 , 2 ⇒ -2 , 1 ⇒ -1

∴ The ABCD is reflected across the y-axis

∵ All y-coordinates subtracted by 2

3 ⇒ 1 , 0 ⇒ -2 , 3 ⇒ 1 , 4 ⇒ 2

∴ The ABCD is translated 2 units down

* The sequence of transformation is reflected across the y-axis

and translated 2 units down

5 0

2 years ago

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Lisa [10]

The formula of the volume of a cylinder:

$V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base$

We have:

$V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3$

and

$H=20\ dm$

substitute:

$\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2$

Answer: The area of a base of the cylinder is equal 45 dm².

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3 years ago

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Juliette [100K]

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6 0

2 years ago

Read 2 more answers