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3 years ago

1. 3x + 12 = 8x - 18

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

Answer:

given
addition property of equality
addition property of equality
division property of equality
symmetric property of equality

Step-by-step explanation:

In step 2, -3x was added to both sides in accordance with the addition property of equality.

The same property lets you add 18 to both sides, as in step 3.

The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)

Swapping sides of the equal sign is allowed by the symmetric property of equality.

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Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.

polet [3.4K]

Answer:

$Area =55.4ft^2$

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

$\tan(60) = \frac{4\sqrt 3}{x}$

Solve for x

$x = \frac{4\sqrt 3}{\tan(60)}$

$\tan(60) = \sqrt 3$

So:

$x = \frac{4\sqrt 3}{\sqrt 3}$

$x = 4$

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

$Base = 4\sqrt 3$

$Height = 4$

So, the area of the rhombus is 4 times the area of 1 triangle

$Area = 4 * \frac{1}{2} * Base * Height$

$Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4$

$Area =2 * 4\sqrt 3 * 4$

$Area =55.4ft^2$

7 0

3 years ago

B(x)=x+4, what is b(-10)

vovikov84 [41]

Answer:

B(-10)=-6

Step-by-step explanation:

we have

B(x)=x+4

we know that

B(-10) is the value of the function B(x) for the value of x=-10

substitute the value of x=-10 in the function

B(-10)=-10+4=-6

therefore

B(-10)=-6

8 0

2 years ago

4^3sqrt(3x-3)^2+2=38

vlada-n [284]

Here, 4³√(3x-3)² + 2 = 38

= 4³ (3x - 3) = 38 - 2

= 192x - 192 = 36

= 192x = 192 + 36

= x = 228/192

= x = 1.1875 [ Final Answer ]

Hope this helps!

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3 years ago

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Gnoma [55]

Answer:

2,108・35 = 73,780

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1 year ago

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AysviL [449]

Answer: What is the question?

Step-by-step explanation:

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3 years ago