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2 years ago

11

-3(2x-3)+10x=39 what’s the answer

1 answer:

Temka [501]2 years ago

3 0

Decimal form= 7.5 , fraction form = 15/2 , improper fraction= 7 and 1/2

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stiv31 [10]

Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).

I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18

9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)

factor 243 to find a perfect square

x = √(3*81)
x = 9√(3)<u />

5 0

2 years ago

A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5

boyakko [2]

Additional information to complete the question:

How long does it take for a short pulse of light to travel from one end of the glass to the other?

Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.

T = ___________ s

Answer:

$T = \frac{15}{f}$

Step-by-step explanation:

Given:

Thickness og glass = L

Index of refraction n=1.5

Frequency = f

$Wavelength = \frac{L}{10}$

λ(air) $= \frac{L}{10}$

λ(glass) = λ(air) / n

= $\frac{\frac{L}{10}}{1.5}$

= $\frac{L}{10} * \frac{1}{1.5}$

= $\frac{L}{15}$

V(glass) = fλ(glass)

$= f * \frac{L}{15}$

$T = \frac{L}{V_{glass}} = \frac{15}{f}$

7 0

2 years ago

Help ? Pls ???????? Don’t know

Anni [7]

Answer:

y=-3x+7

Step-by-step explanation:

y=mx+b is the formula you are going to end up once completed.

This, by given two points:

(4,-5) (3,-2)

$\frac{-2-5}{3-4}$ = Point-Slope Intercept Form

$\frac{3}{-1}$ = After subtracting both from above

-3 = is your slope, decreasing.

Substitute -3 for y=mx+b

y=-3x+b

Use one of the given points (any) to find what b equals.

(4,-5)

x y

-5=-3(4)+b

-5= -12+b

7=b

Final Equation:

y=-3x+7

5 0

2 years ago

Read 2 more answers

In circle D, if the measure of arc Gec is 230 , what is the measure of minor arc GFC

BabaBlast [244]

Answer:

The measure of minor arc GFC is $130\°$

Step-by-step explanation:

we know that

In a circle the sum of the major arc plus the minor arc is equal to 360 degrees

see the attached figure to better understand the problem

Let

x------> the major arc GEC

y-----> the minor arc GFC

so

$x+y=360\°$

we have

$x=230\°$

substitute in the equation and solve for y

$230\°+y=360\°$

$y=360\°-230\°=130\°$

8 0

2 years ago

1. The ratio of students in 8th grade that preferred math

Marta_Voda [28]

Answer:

a. 180

Step-by-step explanation:

$\frac{4x}{10}$ = $\frac{72}{1}$

cross-multiply:

4x = 720

x = 180

5 0

2 years ago