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docker41 [41]
3 years ago
14

Solve for x: −3|2x + 6| = −12

Mathematics
2 answers:
monitta3 years ago
5 0
-3(2x+6)=-12
-6x-18=-12
-6x=6
x=1

Klio2033 [76]3 years ago
4 0
Hello!

The absolute value of 2x+6 is 2x+6. We will finish solving below.

-3(2x+6)=-12
-6x+6=-12
-6x=18
x=-3

I hope this helps!
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A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of
djverab [1.8K]

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

7 0
3 years ago
72 + 24 (distributive property)
Dmitrij [34]
The answers is 96
Dont u just add?
8 0
2 years ago
How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?
Anastasy [175]

Whenever you can invert a function, you have that the graphs of f(x) and its inverse f^{-1}(x) are reflected with respect to the line y=x

So, given any point on the graph of f^{-1}(x), you can simply swap its coordinates to get the correspondent point on the original function f(x)

As an example, all exponential functions pass through the point (0,1), while all the logarithmic functions pass through the point (1,0)

6 0
3 years ago
Read 2 more answers
How do you solve (7x + 5) - (3x + 2)
Korolek [52]

Answer:

x = 0.75

Step-by-step explanation:

Simplifying

(7x + -5) + -1(3x + -2) = 0

Reorder the terms:

(-5 + 7x) + -1(3x + -2) = 0

Remove parenthesis around (-5 + 7x)

-5 + 7x + -1(3x + -2) = 0

Reorder the terms:

-5 + 7x + -1(-2 + 3x) = 0

-5 + 7x + (-2 * -1 + 3x * -1) = 0

-5 + 7x + (2 + -3x) = 0

Reorder the terms:

-5 + 2 + 7x + -3x = 0

Combine like terms: -5 + 2 = -3

-3 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x

-3 + 4x = 0

Solving

-3 + 4x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + 4x = 0 + 3

4x = 0 + 3

Combine like terms: 0 + 3 = 3

4x = 3

Divide each side by '4'.

x = 0.75

Simplifying

x = 0.75

6 0
2 years ago
Read 2 more answers
For what value of c does the following system have no solution?<br><br> 1/2x+1/5y=2<br> 5x+2y=c
Minchanka [31]

Answer:

Step-by-step explanation:

\frac{1}{2}x+\frac{1}{5}y = 2 \mid 5x + 2y = c

First let's multiply the 1st equation by 10.

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So, we can see that the equations have the same coefficients and that implies  they are equal.

So the equation has no solutions for. c \in R \setminus{20}

3 0
3 years ago
Read 2 more answers
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