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Marta_Voda [28]
3 years ago
8

Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

Answer:

x=1.578

Step-by-step explanation:

Given equation is 3-x = 3(6x-9)

We need to find the value of x

3-x = 3(6x-9)

Distribute 3 in the right-hand side  

3-x=18x-27

Add both sides x

3-x+x=18x+x-27\\3=19x-27

Now, add both sides 27

3+27=19x-27+27\\30=19x

Divide both sides by 19

\frac{30}{19}=\frac{19x}{19}\\x=1.578

So, x=1.578

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Draw an angle in standard position whose terminal side contains the point
kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2

Hypotenuse^2 = (7)^2+(-6)^2

Hypotenuse^2=49+36\\Hypotenuse^2=85

Taking square root both sides :

\sqrt{Hypotenuse^2}=\sqrt{85}

Hypotenuse = 9.29\ units

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0
3 years ago
Ok so I’m the answer but how do I get to that answer can someone please help me I am desperate
Svet_ta [14]
X + (x + 10) = 154
2 x + 10 = 154
2 x = 154-10 = 144
x = 72 (ans)
Not sure if it’s right
7 0
3 years ago
Simplify g^1/2 * g^1/2 using the radical form.
guapka [62]

Answer:

√g *√g = g

Step-by-step explanation:

recall that any number or variable to the power of 1/2 can also be written as that variable or number under the radical.

So, we then have

√g * √g

Recall that when we multiply radicals, we multiply what is under our radicals together and then combine them under a new radical

√g * √g = √(g * g)

This gives us √(g²)

recall that the square root of a number or variable squared will merely result in the number or variable by itself (as these are reciprocate equations)

√(g²) = g

8 0
3 years ago
(-6, 1) and 3, 5)<br> M= rise/run=(y2-y1)/(x2-x1)
Sergeeva-Olga [200]

Answer:

4/9

Step-by-step explanation:

The slope of these points would be: (5-1)/(3+6) = 4/9

7 0
3 years ago
If f(x) = - 8x +2 then f^-1(x) =
mrs_skeptik [129]

Answer:

f^-1(x)  = -1/8x +1/4

Step-by-step explanation:

To find the inverse of a function

Exchange x and y and then solve for y

y =-8x+2

Exchange x and y

x = -8y+2

Now solve for  y

Subtract 2 from each side

x-2 = -8y+2-2

x-2 = -8y

Divide by -8

(x-2)/-8 = -8y/-8

Distribute

-1/8x +1/4 = y

f^-1(x) = -1/8x +1/4

3 0
3 years ago
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