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Damm [24]
3 years ago
7

Solve x/12+1/3=5/6 please help me resolve

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Subtract 1/3 from both sides

x/12 = 5/6 - 1/3

Simplify 5/6 - 1/3 to 1/2

x/12 = 1/2

Multiply both sides by 12

x = 12 × 12

Simplify 1/2 × 12 to 12/2

x = 12/2

Simplify 12/2 to 6

<u>x = 6</u>

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consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations
emmasim [6.3K]

Answer:

x=1 and x=4

Step-by-step explanation:

We have the following system of equations:

y=\sqrt{x} and y=x-2

To solve the problem, we need to equal the two equations:

x-2=\sqrt{x} ⇒ (x-2)^{2} =x ⇒ x^{2} -4x + 4 = x  

⇒ x^{2} -5x + 4 = 0  

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are x=-1 and x=-4.

Then, the factorized form of the polynomial is: (x-1)(x-4).

The, the solution to the system of equations is: x=1 and x=4.

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3 years ago
How many one-degree angles are in a 70 degree angle?
SVEN [57.7K]

Answer:

There are 70 one degree angles in a 70 degree angle

Step-by-step explanation:

6 0
3 years ago
In triangle PQR point c is the centroid if PQ= 30 then PX=
vova2212 [387]

Answer:

15

Step-by-step explanation:

since c is the centroid, therefore PX=XQ=1/2 x PQ

∴ PX=15

3 0
3 years ago
What is the area of a trapezoid if the base is 5, 17, 5 and height is 4
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Trapezoid

Solve for area

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7 0
3 years ago
WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!
Snowcat [4.5K]
Answer:
y=1/6x-6

Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)

To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.

It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:

Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)

Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.

The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places

So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.

Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)

And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.

Awesome! We found the slope, which means so far, the equation of line T looks like this:

y=1/6x+b

All we need now is the y-intercept, which is “b” in the equation y=mx+b.

To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.

y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b

Aha! There we have it, -6 is the y-intercept of line T.

Now, we have completed our equation:

y=1/6x-6

I hope this helps! Please comment if you have any questions.
7 0
3 years ago
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