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3 years ago

What is the standard form of the equation y+6=2(x−3)?

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

5 0

Answer:

-2x + y = -12

Step-by-step explanation:

y + 6 = 2 ( x - 3 )

y + 6 = 2x - 6

-2x + y = -12

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Igoryamba

Answer:

1. x= -56.25

Expand

19.5-6.5x+36=201-4.5x-33

Simplify

-6.5x+55.5=201-4.5x-33

Simplify again

6.5x+55.5=-4.5x+168

Add 6.5 to both sides

55.5=-4.5x+168+6.5x

Simplify

55.5=2x+168

Subtract

55.5-168=2x

Simplify

112.5=2x

Divide both sides by 2

−112.5÷2 = x

Simplfy

x = -56.25

2. x > -7 ÷ 4

Decimal Form: -1.75

Remove parentheses

12x>4x+5−19

Simplify

12x>4x-14

Subtract

12x-4x>-14

Simplify

8x>-14

Divide both sides by 8

x > -14 ÷ 8

Simplify

x > -7 ÷ 4

Decimal Form: -1.75

3. Answer: Step 2 has an error

Step-by-step explanation:

Given equation,

2(10 - 13x) = -34x + 60

By distributive property,

20 - 26x = -34x + 60

Now, we need to isolate x on the left side of the equation,

For this we need to eliminate constant term from the left side,

20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )

I.e. Step 2 has an error,

We need to use subtraction property of equality instead of using addition property of Equality,

Note : The correct steps would be,

Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )

Step 3 : 8x = 40 ( addition property of Equality )

Step 4 : x = 5 ( Division Property of Equality )

Hope this helps!!! Good luck!!! ;)

8 0

3 years ago

Find x in the figure.<br><br><br> A) x = 44<br><br> B) x = 16<br><br> C) x = 22<br><br> D) x = 66

MakcuM [25]

Answer:

Step-by-step explanation:

3x + 3x + 48 = 180

6x = 180 - 48

x = 132 / 6

x = 22

7 0

2 years ago

Read 2 more answers

Simplify the following problem.<br> (-8+61) +(6+61)

Travka [436]

Answer: -8+61 = 53 and 6+61 = 67

3 0

3 years ago

What is the image of (-9,0) after a reflection over the line y=x

SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point $(x,y)$ over a line $y=x$ is given by the co-ordinate rule:

$(x,y)$ → $(y,x)$

So, when we reflect a point over the line $y=x$ , the x co-ordinate and y co-ordinate change their places.

Here, $(x,y)$ is $(-9,0)$ . So, from the above rule, after reflection over the line $y=x$ , the image has the following co-ordinates:

$(0,-9)$

4 0

3 years ago

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago