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3 years ago

If (3, y) lies on the graph of y = -(2^x), then y = 1/8 -6 -8

Mathematics

1 answer:

allochka39001 [22]3 years ago

6 0

I think the answer is 1/8

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Find each measurement indicated round your answers to the nearest tenth. Part 1d. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW

valkas [14]

Answer:

see explanation

Step-by-step explanation:

Using the Sine rule in all 3 questions

(1)

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ , substitute values , firstly calculating ∠ B

[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]

$\frac{a}{sin78}$ = $\frac{18}{sin53}$ ( cross- multiply )

a sin53° = 18 sin78° ( divide both sides by sin53° )

a = $\frac{18sin78}{sin53}$ ≈ 22.0 ( to the nearest tenth )

(3)

$\frac{c}{sinC}$ = $\frac{a}{sinA}$ , substitute values

$\frac{35}{sinC}$ = $\frac{45}{sin134}$ ( cross- multiply )

45 sinC = 35 sin134° ( divide both sides by 35 )

sinC = $\frac{35sin134}{45}$ , then

∠ C = $sin^{-1}$ ( $\frac{35sin134}{45}$ ) ≈ 34.0° ( to the nearest tenth )

(5)

Calculate the measure of ∠ B

∠ B = 180° - (38 + 92)° = 180° - 130° = 50°

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ , substitute values

$\frac{BC}{sin38}$ = $\frac{10}{sin50}$ ( cross- multiply )

BC sin50° = 10 sin38° ( divide both sides by sin50° )

BC = $\frac{10sin38}{sin50}$ ≈ 8.0 ( to the nearest tenth )

3 0

3 years ago

What is the solution-2|2.2x-3.3|=-6.6

mylen [45]

$Solution, solve\:for\:x,\:-2\left|2.2x-3.3\right|=-6.6\quad :\quad x=0\quad \mathrm{or}\quad \:x=3$

$Steps:$

$-2\left|2.2x-3.3\right|=-6.6$

$\mathrm{Divide\:both\:sides\:by\:}-2,\\\frac{-2\left|2.2x-3.3\right|}{-2}=\frac{-6.6}{-2}$

$\mathrm{Simplify},\\\left|2.2x-3.3\right|=3.3$

$|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a,\\2.2x-3.3=-3.3\quad \quad \mathrm{or}\quad \:\quad \:2.2x-3.3=3.3$

$2.2x-3.3=-3.3,\\\mathrm{Add\:}3.3\mathrm{\:to\:both\:sides},\\2.2x-3.3+3.3=-3.3+3.3,\\\mathrm{Refine},\\2.2x=0,\\\mathrm{Multiply\:both\:sides\:by\:}10,\\.2x\cdot \:10=0\cdot \:10,\\\mathrm{Refine},\\22x=0,\\\mathrm{Divide\:both\:sides\:by\:}22,\\\frac{22x}{22}=\frac{0}{22},\\\mathrm{Simplify},\\x=0$

$2.2x-3.3=3.3,\\\mathrm{Multiply\:both\:sides\:by\:}10,\\2.2x\cdot \:10-3.3\cdot \:10=3.3\cdot \:10,\\\mathrm{Refine},\\22x-33=33,\\\mathrm{Add\:}33\mathrm{\:to\:both\:sides},\\22x-33+33=33+33,\\\mathrm{Simplify},\\22x=66,\\\mathrm{Divide\:both\:sides\:by\:}22,\\\frac{22x}{22}=\frac{66}{22},\\\mathrm{Simplify},\\x=3$