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telo118 [61]
3 years ago
13

How many solutions are there to the equation below? 12x+6=5x

Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

Answer:  There is one solution to the given equation.

Step-by-step explanation:  We are given to find the number of solutions to the following equation :

12x+6=5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the given equation is linear in one variable x, so it will have only one solution.

The solution of equation (i) is given by

12x+6=5x\\\\\Rightarrow 12x-5x=-6\\\\\Rightarrow 7x=-6\\\\\Rightarrow x=-\dfrac{6}{7}.

Thus, there is one solution to the given equation.

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Anybody know the answer?
marysya [2.9K]
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)

y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²

we want to find z so combine the equations by substituting the other variables x,y out.

substitute y² for (x² - 4²) in 1st equation.

(x² - 4²) + 9² = z²

now by rearranging the 2nd equation we can substitute x² for (13² - z²)

(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z

13 goes in the box




































6 0
3 years ago
A pair of jeans originally cost $80, but is on sale for 30% off. there is a coupon available for an additional 10% off of the sa
Lady_Fox [76]
30% = 0.3. 

0.3*80 = 24, so we know that 30% of 80 is 24. 

80 - 24 = 56, so after the sale, the price for a pair of jeans is $56.

10% = 0.1

0.1*56 = 5.6, so with the coupon, we get $5.60 off. 

56 - 5.60 = 50.40

The jeans cost $50.40 after the sale and the coupon. 
5 0
3 years ago
Need to write steps and solve <br> thanks
nalin [4]

<u>Answer:</u>

The coordinates of endpoint V is (7,-27)

<u>Solution:</u>

Given that the midpoint of line segment UV is (5,-11) And U is (3,5).

To find the coordinates of V.

The formula for mid-point of a line segment is as follows,

Midpoint of UV is \frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}

As per the formula,  \frac{x_{1}+x_{2}}{2}=5, \frac{y_{1}+y_{2}}{2}=-11

Here x_{1}=3; y_{1}=5

Substituting the value of x_{1} we get,

\frac{3+x_{2}}{2}=5

3+x_{2}=5\times2

x_{2}=10-3

x_{2}=7

Substituting the value of x_{2} we get,

\frac{5+y_{2}}{2}=-11

5+y_{2}=-11\times2

y_{2}=-22-5

y_{2}=-27

So, the coordinates of V is (7,-27)

7 0
3 years ago
What would the circumference be of a circle if the radius is 3 units
MAVERICK [17]

If we have a circle with a radius of 3 we need to find the diameter of the circle.  Remember radius is half of the diameter.  So, the diameter is 6 units.

Use the circumference formula: C=3.14D

C=3.14(6)

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7 0
3 years ago
Circles and inscribed angles
andreev551 [17]

Answer:

angle formed by two chords in a circle

Step-by-step explanation:

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3 years ago
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