how do i solve this problem 4s -12 = -5s + 51

Mathematics

2 answers:

MrRa [10]3 years ago

6 0

AfilCa [17]3 years ago

3 0

$4s-12=-5s+51\ \ \ \ /+12\\\\4s-12+12=-5s+51+12\\\\4s=-5s+63\ \ \ /+5s\\\\4s+5s=-5s+5s+63\\\\9s=63\ \ \ /:9\\\\9s:9=63:9\\\\s=7$

You might be interested in

Find the missing side length, and enter your answer in the box below. If

Savatey [412]

The missing side length is c = 25 units.

Step-by-step explanation:

Step 1:

The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.

As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.

The length of the hypotenuse is given as c units.

Step 2:

According to Pythagoras theorem,

$c^{2} = 24^{2} + 7^{2} = 576 + 49.$

$c^{2} = 625, c = 25.$

So the missing length, c of the given triangle is 25 units.

8 0

3 years ago

For the function<br> g(x) = 1/3x-2, find g(3a – 6)

Keith_Richards [23]

Answer:

g(3a – 6) = a - 4

Step-by-step explanation:

g(x) = 1/3x - 2

g(3a – 6) = 1/3(3a – 6) - 2

= a - 2 - 2

= a - 4

7 0

3 years ago

Read 2 more answers

What is the solution to the equation? 2 x squared plus 4 equals 20 Choose all answers that are correct.

Stolb23 [73]

$2x^2+4=20\ \ \ \ |subtract\ 4\ from\ both\ sides\\\\2x^2=16\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=8\iff x=\pm\sqrt8\\----------------------------\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\cdot\sqrt2=2\sqrt2\ \ \ |use\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\-----------------------------\\therefore\ your\ answer\ is\ -2\sqrt2\ and\ 2\sqrt2\to\boxed{a\ and\ c}$