Answer:
7+4x=13+x
4x-x=13-7
3x=6
3 3
x =2
Step-by-step explanation:
because when 7 crosses the equal to sign it becomes negative and when the x from the other side crosses the equal sign it also will become negative which will become 4x-x=13-7
which is 3x=6 so u divide both sides by the coefficient of x which is three which will give u 2
Answer:
, smaller integer is 8.
Step-by-step explanation:
Given:
The product of two consecutive integers is 72.
The equation x(x+1)=72 represents the situation, where x represents the smaller integer.
Question asked:
Which equation can be factored and solved for the smaller integer ?
<u>Solution</u>:
can be factored and solved for the smaller integer, and that is 8.
Two consecutive integers are 8 and 9 and their product is 8 9 = 72
Answer:
Step-by-step explanation:
I do t k ow the answer
The difference between mixed numbers gives:
-5¹/₆ - (-8¹/₂) = 3¹/₃
So the correct option is the third one.
<h3 /><h3>How to get the difference between mixed numbers?</h3>
Here we want to compute the difference between two mixed numbers.
First, remember that we can rewrite those as:
-5¹/₆ = (-5 - 1/6)
-8¹/₂ = (-8 - 1/2)
Now, let's go to the difference:
-5¹/₆ - (-8¹/₂)
First you can see that there are two negative signs together, so it is equivalent to a positive sign:
-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂
Now we can replace the mixed numbers to get:
-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3
And that can be rewritten to:
3 + 1/3 = 3¹/₃
Which is completely simplified.
So we conclude that the correct option is the third one, counting from the top.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
#SPJ1
Answer:
9, 40 and 41
Step-by-step explanation:
All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.
Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.
I recommend starting with squares you are familiar with:
9² + 40²= 81 + 1600 = 1681
Now, take the √1681 to find the length of 'c', or the hypotenuse:
√1681 = 41
Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.