Ten increased by 6 times a number
is the same as 4 less than 4 times
the number. Find the number.

the number is -7

-angie:)             pls mark me brainnliest!

Step-by-step explanation:

Explanation:

The easiest way to solve this equation is to write an equation and solve for the unknown number. This is the equation:

10

+

6

x

=

4

x

−

4

Subtract each side by 4x.

10

+

2

x

=

−

4

Subtract both sides by 10.

2

x

=

−

14

Divide by 2 on each side to isolate

x

.

x

=

−

7

So you have your the number is

−

7

. To double-check your answer, you can plug this number back into the equation and see if it comes out to be true:

10

+

6

(

−

7

)

=

4

(

−

7

)

−

4

10

−

42

=

−

28

−

4

−

32

=

−

32

This equation is true, so you know

−

7

has to be the unknown number .

-7

Step-by-step explanation:

10+6x=4x-4

-4x   -4x

10+2x=-4

-10    -10

2x=-14

/2     /2

x=-7

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).