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Feliz [49]
3 years ago
8

Solve the literal equation 2a - b = 3b – a for a . help pls ‍

Mathematics
2 answers:
VLD [36.1K]3 years ago
4 0

Answer:

a = 4/3 b

Step-by-step explanation:

2a - b = 3b – a

Add a to each side

2a+a - b = 3b – a+a

3a -b = 3b

Add b to each side

3a -b+b = 3b+b

3a = 4b

Divide each side by 3

3a/3 = 4b/3

a = 4/3 b

Anika [276]3 years ago
4 0

Answer:

a = 4/3 b

Step-by-step explanation:

2a - b = 3b – a

Add a to each side

2a+a - b = 3b – a+a

3a -b = 3b

Add b to each side

3a -b+b = 3b+b

3a = 4b

Divide each side by 3

3a/3 = 4b/3

a = 4/3 b

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Write the equation for the line that passes through (2, -4) and is
Kryger [21]

Answer: y= x-2

Step-by-step explanation:

Perpendicularity entails the slope of line a is -1 divided by the slope of line b

m1= (-1/m2)

From y=Mx +c

We compare with x-4y=7

y=(1/4)x-7/4

Meaning m2= 1/4

m1= -1/(1/4)= -1*4= -4

((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1

x1= 2, y1= -4

((y-(-4))/(x-2))= -4

((y+4)/(x-2))= -4

Cross multiply

y+4= -4(x-2)

y= x-2

3 0
2 years ago
Calculate the shaded area of the figure.
stiv31 [10]

Answer:

36.5cm²

Step-by-step explanation:

Area of quarter circle=8²\pi/4=64\pi/4=16\picm²

Area of square+Area of shaded region =2(16\pi)=32\pi=100.5cm²

Area of square=8²=64cm²

Area of shaded region=100.5cm²-64cm²=36.5cm²

Therefore, the area of the shaded region is 36.5cm².

6 0
3 years ago
Read 2 more answers
The path a character takes to navigate a level of a video game is given in the following graph.
KonstantinChe [14]

We want to find the domain for the graphed function. We will see that the correct option is A: -12 ≤ x ≤ 14

<h3>What is the domain of a function?</h3>

For a function f(x) we define the domain as the set of possible inputs that we can use in the function.

In this case, we need to see the values in the horizontal axis that the graph covers.

We can see that it goes from -12 to 14. We also can see that there are two jumps, at x = -6 and at x = 8, but these values belong to the graph (denoted by the black dot) meaning that these are in the domain.

Then the domain is:

-12 ≤ x ≤ 14

If you want to learn more about domains, you can read:

brainly.com/question/1770447

6 0
2 years ago
Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering p
tankabanditka [31]

Answer:

1.778 times more or 16/9 times more

Step-by-step explanation:

Given:

- Mirror 1: D_1 = 8''

- Mirror 2: D_2 = 6"

Find:

Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?

Solution:

- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:

                                           LGP ∝ A

- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:

                                           A ∝ D^2

- Hence,                              LGP ∝ D^2

- Now compare the two diameters given:

                                           LGP_1 ∝ (D_1)^2

                                           LGP ∝ (D_2)^2

- Take a ratio of both:

                           LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2

- Plug in the values:

                               LGP_1/LGP_2 ∝ (8)^2 / (6)^2

- Compute:             LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more

6 0
3 years ago
You need to rent a video camera for your school project. Murphy's Camera charges a $30 rental fee plus $35 per day. Allied Renta
andreev551 [17]

A. If a camera is rented for 1 or 2 days, it would be logical to rent it from Murphy's.

B. If a camera is needed for more than 3 days, it would make sense to rent it from Allied rental.

C. Yes, if a camera is rented for 3 days both rentals charge the same money.

C. If you were need a camera for 3 days, you would have to pay $135 for both stores.

<u>Step-by-step explanation:</u>

Step 1; Murphy's camera costs $30 to rent and an additional $35 for each day of rental. So the equations are

y = $30 + (x × $35), where y is total cost and x is the number of days rented.

So for x = 1, y = $30 + (1 × $35) = $30 + $35 = $65

So for x = 2, y = $30 + (2 × $35) = $30 + $70 = $100

So for x = 3, y = $30 + (3 × $35) = $30 + $105 = $135

So for x = 4, y = $30 + (4 × $35) = $30 + $140 = $170

So for x = 5, y = $30 + (5 × $35) = $30 + $175 = $ 205.

Step 2; Allied rental costs $45 to rent and a $30 for each day of rental. So the equations are as follows

y = $45 + (x × $30), where y is total cost and x is the days rented

So for x = 1, $45 + (1 × $30) = $45 + $30 = $75

So for x = 2, $45 + (2 × $30) = $45 + $60 = $105

So for x = 3, $45 + (3 × $30) = $45 + $90 = $135

So for x = 4, $45 + (4 × $30) = $45 + $120 = $165

So for x = 5, $45 + (5 × $30) = $45 + $150 = $195

Step 3; Comparing both prices over 5 days. Murphy's is cheaper for until 2 days. On day 3 both the rentals cost the same but after day 4, allied rentals is the better option.

3 0
2 years ago
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