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Sloan [31]
3 years ago
13

5a - 9 + a = 9

Mathematics
1 answer:
wolverine [178]3 years ago
8 0

Answer:

Step-by-step explanation:

5a - 9 + a = 9

6a - 9 = 9

6a = 9 + 9

6a = 18

a = 18/6

a = 3 <=====

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Two patrol boats leave Cape May at the same time, the same speed, but on different bearings. One has bearing 41°45
VMariaS [17]

Based on the information given, the computation shows that the distance between them is 2.47 miles.

<h3>Solving the distance.</h3>

Since one has bearing 41°45', this will be: = 41° + (45/60) = 41° + 0.75 = 41.75°.

The other has bearing 59°13'. This will be:

= 59° + (13/60) = 59° + 0.22 = 59.22°.

The difference of the angles will be:

= 59.22° - 41.75°

= 17.47°

Let the distance between them be represented by c. Therefore, we'll use cosine law to solve the question. This will be:

c² = a² + b² - 2ab cos 17.47°

c² = 20² + 20² - (2 × 20 × 20 × 0.19)

c² = 6.07459

c = 2.47

Learn more about distance on:

brainly.com/question/2854969

8 0
2 years ago
P(x) = x4 − 9x2 − 4x 12? what some roots
arlik [135]
P(x) = x^4 - 9x^2 - 4x + 12
P(1) = 1^4 - 9(1)^2 - 4(1) + 12 = 1 - 9 - 4 + 12 = 0
x = 1 is a root.
By dividing the polynomial by x - 1, gives other roots as 3 and -2
3 0
3 years ago
Read 2 more answers
Ivory created a scaled copy of rectangle A.
9966 [12]

The scale factor that Ivory used to create their scaled copy is;

<u><em>Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.</em></u>

  • From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals

  • Now, from the image, we are told that the area of the scaled copy is 48 square units.

What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.

  • Now, if one interval of the graph is x-units, then it means;

length; y-axis = 3x units

width; x-axis = x units

  • Area of a rectangle is given by;

Area = Length × width

Thus;

3x * x = 48

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

<em>Thus, 1 interval on the graph represents 4 units of the rectangle.</em>

Read more at; brainly.com/question/17182684

8 0
2 years ago
Which of the angles in the figure are supplementary to 7?
ira [324]
Number D is the correct answer I think
3 0
3 years ago
Which choice is the solution for this system ? 2x − 5y = 14 x + 3 2 y = 5
VashaNatasha [74]

Answer:

The required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

Step-by-step explanation:

The given equations are

2x-5y=14                       .... (1)

x+\frac{3}{2}y=5            .... (2)

Multiply the equation (2) by 2.

2x+3y=10                     .... (3)

Subtract equation (1) from equation (3).

2x+3y-(2x-5y)=10-14

2x+3y-2x+5y=-4

8y=-4

y=-\frac{1}{2}=-0.5

Put this value in equation (1).

2x-5(-0.5)=14

2x+2.5=14

2x=11.5

x=5.75

Therefore the required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

3 0
3 years ago
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