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3 years ago

Solve the equation -4 + 4a = 12 for a.

Mathematics

2 answers:

Ymorist [56]3 years ago

7 0

Answer:

Step-by-step explanation:

12-4=16

4a/4 = a

16/4 = 4

4=a

WARRIOR [948]3 years ago

6 0

Hello there! The answer to your question is a = 4.

To solve for a in the equation -4 + 4a = 12 you want to isolate, or separate, a from all of the equation's other values.

Our first step is to add 4 to both sides so the 4 cancels out on the left side.

-4+4 + 4a = 12+4

4a = 16

Next, we divide both sides by 4 to finish isolating a.

4/4a = 16/4

a = 4

Want to verify that this is correct? Place the value we found for a (4) into the equation in place of a and if it comes out as a true statement, the answer is correct.

-4 + 4(4) = 12

-4 + 16 = 12

12 = 12

Since 12 is in fact equal to 12, i can guarantee you that i have provided you with the correct answer. I hope this helps & have a great rest of your day! :)

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Which triangles are right triangles?<br> Select ALL correct answers.

vredina [299]

Answer:

2 , 3 ,4

Step-by-step explanation:

to find the right triangle use the pythagorian method

A^2+B^2= C^2

5 0

3 years ago

the radious of each wheel of a car is 16 inches at how many revolutions per minute should a spin balancer be set to balance the

Alex Ar [27]

Answer:

revolutions per minute for 16 inches is 946 / minute

revolutions per minute for 14 inches is 1081 / minute

Step-by-step explanation:

Given data

radius = 16 inch

speed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute

radius 2 = 14 inches

to find out

revolutions per minute

solution

first we calculate the circumference of the wheel i.e. 2× $\pi$ ×radius

circumference = 2× $\pi$ ×16

circumference = 32 $\pi$

we know that revolution is speed / circumference

revolution = 95040/32 $\pi$

revolution = 945.38 / minute

we have given radius 14 inches than revolution will be i.e.

revolution = speed / circumference

circumference = 2× $\pi$ ×14

circumference = 28 $\pi$

revolution = 95040/ 28 $\pi$

revolution = 1080.43 / minute

7 0

3 years ago

Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or

Irina18 [472]

Answer:

4) i) The numbers can represent the side lengths of a triangle

ii) Right triangle

5) i) The numbers can represent the side lengths of a triangle

ii) Isosceles triangle

6) i) The numbers can represent the lengths of the sides of a triangle

ii) Pythagoras theorem

7) The numbers do not represent the lengths of sides of a triangle

8) i) The numbers can represent the side lengths of a triangle

ii) Scalene triangle

Step-by-step explanation:

In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side

The given numbers are;

4) i) 15, 20, 25

Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle

ii) 15² + 20² = 25²

Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem

The triangle is a right triangle

5) i) The given numbers are;

2, 6, 6

Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle

ii) Given that the lengths of two sides are equal (6 each), the triangle formed by the numbers is an isosceles triangle

6) i) 0.27, 0.36, 0.45

0.27 + 0.36 = 0.63 > 0.45, therefore, the numbers can represent the lengths of the sides of a triangle

ii) Given that 0.27² + 0.36² = 0.45², according to Pythagoras theorem, the type of triangle formed is a right triangle

7) 2.5, 1.5, 4

Given that 2.5 + 1.5 = 4, the numbers do not meet the criteria for forming triangles and therefore they cannot represent the side lengths of a triangle

8) i) 12, 16, 25

12 + 16 = 28 > 25, the numbers can represent the side lengths of a triangle

ii) 12² + 16² = 400 < 25² = 625, therefore, the triangle formed by the numbers is not a right triangle but a scalene triangle.

7 0

3 years ago

Determine whether the given value is a solution of the equation: x + 15 = 10; x=5 *

kobusy [5.1K]

Answer:

It is not correct, x = -5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

NEED HELP ASAP FREE BRAINLIST

tino4ka555 [31]

9514 1404 393

Answer:

113.04, 4, 452.16
78.5, 11, 863.5
153.86, 10, 1538.6

Step-by-step explanation:

When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:

B = πr² = 3.14×r²

In the second figure, the radius is half the diameter, so is 5 units.

The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.

V = 113.04 · 4

V = 452.16 units³ . . . showing how the numbers are used in the first figure

3 0

3 years ago