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Trava [24]
3 years ago
8

27^x = 9^(x − 4) x = 8 x = 4 x = −4 x = −8

Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Step-by-step explanation:

27^x = 9^(x - 4)

3^3x = 3^2(x - 4)

3x = 2(x - 4)

3x = 2x - 8

3x - 2x = -8

x = -8

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Find the area of a triangle with legs that are 9mm 6mm and 12mm
Sidana [21]

Here we are given the three sides of the triangle.

So we have Heron's formula to find its area.

Heron's formula is given by :

A= \sqrt{S(S-A)(S-B)(S-C)}

where A, B and C are sides of triangle and S is semi perimeter which is given by,

S= \frac{A+B+C}{2}

plugging values of A, B and C to find S

S= \frac{9+6+12}{2}

S=13.5

Now plugging values of A, B , C and S in Heron's formula

A= \sqrt{13.5(13.5-9)(13.5-6)(13.5-12)}

A=26.14 mm²

Answer: Area of triangle is 26.14 mm².



6 0
3 years ago
Principal- $900, interest rate ordinary- 4%, term (days)- 45. find the interest
kirill [66]

Answer:

hope this helps to find the interest

Step-by-step explanation:

450

4 0
3 years ago
How do you solve for x? -12+7=-5(x+2)
dusya [7]
-5= -5x-10

Plus 10 from both sides

5=-5x
X = -1
7 0
3 years ago
Read 2 more answers
1. The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, pro
Whitepunk [10]
First, plot the points. Point R would be somewhere in the second Quadrant, point M would be in the first quadrant 1, point B would be in the fourth quadrant, and point S would be on the negative y-axis. A property of rhombi is that their diagonals are perpendicular. One would need to calculate the slopes of the diagonals and determine whether or not they are perpendicular. Lines are perpendicular if and only if their slopes are opposite reciprocals. Example: 2 and -0.5
Formulas needed:
Slope formula:
\frac{ y_{2}- y_{1}  }{ x_{2} - x_{1} }

The figure would look kinda like this:
      R
                  M
  
          S
                       B
 Diagonals are segment RB and segment SM
So, your slope equations would look like this:
 \frac{-1-5}{2-(-4)}
and
\frac{4-(-3)}{1-0}
Slope of RB= -1
Slope of SM=7
Not a rhombus, slopes aren't perpendicular. But this figure may very well be a parallelogram
7 0
3 years ago
If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)
Luda [366]

The value of (f-g)(144) is 0

Step-by-step explanation:

We are given:

f(x)=\sqrt{x}+12\,\,and\,\,\\ g(x)=2\sqrt{x}

We need to find value of (f-g)(144)

We will put x=144 for both f(x) and g(x)

(f-g)(144)=f(144)-g(144)\\=\sqrt{144}+12-(2\sqrt{12})\\=12+12-(2(12)\\=24-24\\=0

So, the value of (f-g)(144) is 0

Keywords: Composite Functions

Learn more about Composite Functions at:

  • brainly.com/question/4939434
  • brainly.com/question/2723982
  • brainly.com/question/10772025

#learnwithBrainly

4 0
4 years ago
Read 2 more answers
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