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Romashka-Z-Leto [24]
3 years ago
10

How do you solve log_9 x + log_9 (x + 12) = log_9 64?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0
<span>log_9 x + log_9 (x + 12) = log_9 64?
answer is x=4</span>
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F(x)= -5x-1 and g(x)= 2x^2<br>solve (f+g)(x)
Georgia [21]
f(x)=-5x-1;\ D_f:x\in\mathbb{R}\\\\g(x)=2x^2;\ D_g:x\in\mathbb{R}\\\\D_f=D_g\ then\ (f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=-5x-1+2x^2=2x^2-5x-1

8 0
3 years ago
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In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

X\approx 17

Therefore, the value of ∠X is 17 degrees.

5 0
3 years ago
15
Makovka662 [10]

Answer:

Option A ( -3/2 , \frac{-3\sqrt{3} }{2} )

Step-by-step explanation:

  • According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .
  • Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation
  • Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)  

(For Diagram, Please Find in attachment)

Now In Triangle OAB

  • Cos60* = OA / OB

        1/2 = -X / 3 Thus X= -3/2

  • Sin60* = AB / OB

        \sqrt{3}/2 = -Y / 3 Thus Y = -\sqrt{3} * 3 /2

6 0
3 years ago
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
aleksley [76]

Answer:

Shelter A

Step-by-step explanation:

The reason it's shelter a is because the dog that weighs the most in shelter a is 30 lbs and the dog that weighs the most in shelter b is only 28 lbs. So shelter a is your answer.

3 0
3 years ago
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How do I draw a model that shows 0.16
Semmy [17]
You would find the dimensions of the object that you are drawing then divide it by .16
8 0
3 years ago
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