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yuradex [85]
1 year ago
8

19. 9a2b = c + 4a, for a

Mathematics
1 answer:
xenn [34]1 year ago
5 0

Answer:x/5 + 2b/5

Step-by-step explanation:

9a-2b=c+4a solve for a

9a-2b=c+4a

add -4a to both sides

9a-4a-2b=x+4a-4a

5a-2b=x

add 2b to both sides

5a-2b+2b=x+2b

5a= x+2b

divide by 5

5a/5 = x/5 +2b/5

a= x/5 + 2b/5

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Evaluate "four dollars less than the cost<br> of a sweater" if a sweater costs $22<br> a<br> a
AleksAgata [21]
  • The actual cost of the sweater is $18

The question says to evaluate the cost of four dollars less than the cost of a sweater.

To do this, what we have to do is to create a mathematical equation of it.

Less than always insinuates that we are to subtract, and as such, we are going to subtract four dollars from the cost of the sweater to get our final answer.

Four dollars less than the cost of a sweater that costs $22 is

22 - 4 = $18

Learn more about evaluating cost here brainly.com/question/14315509

7 0
2 years ago
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
joja [24]

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0
2 years ago
How do you graph the function?
Bogdan [553]
Use you brain. Please use it.
4 0
2 years ago
Brianna is constructing a raised flower bed in the shape of a rectangle. The length of the flower bed is equal to the width plus
inessss [21]
I think the answer is 5 feet because 2(2+5)= 4+10=14. So the missing length is 5 feet.
4 0
2 years ago
.<br> 1.<br> f(x) = -2lx- 3| +1<br><br> How do I graph this?
ira [324]

Answer:

See explanation

Step-by-step explanation:

f(x) = -2lx-3| +1

1.lx-3|==>Translate the basic absolute value graph f(x)=|x| 3 units to the right

2. -lx-3| ==> Flip the graph over the x-axis

3. -2lx-3| ==> Double all the y-coordinates of the graph

4. -2lx-3| +1 ==> Translate the graph 1 unit up

4 0
1 year ago
Read 2 more answers
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