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2 years ago

Find the midpoint of ( 10, -2), (4, 2)

Mathematics

1 answer:

qaws [65]2 years ago

7 0

Answer:

(7,0)

Step-by-step explanation:

The midpoint formula is: ((x₁+x₂)/2 , (y₁+y₂)/2)

Substitute and simplify:

((10+4)/2 , (-2+2)/2)

(14/2 , 0/2)

(7,0)

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640-192= 448

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Nuetrik [128]

Answer:

2) 162°, 72°, 108°

3) 144°, 54°, 126°

Step-by-step explanation:

1) Multiply the equation by 2sin(θ) to get an equation that looks like ...

sin(θ) = <some numerical expression>

Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)

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2, 3) You need to review the meaning of "supplement".

It is true that ...

sin(θ) = sin(θ+360°),

but it is also true that ...

sin(θ) = sin(180°-θ) . . . . the supplement of the angle

This latter relation is the one applicable to this question.

Similarly, it is true that ...

cos(θ) = -cos(θ+180°),

but it is also true that ...

cos(θ) = -cos(180°-θ) . . . . the supplement of the angle

As above, it is this latter relation that applies to problems 2 and 3.

6 0

2 years ago

Please Answer Quick 70 Points !

Kipish [7]

Answer:

The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

Step-by-step explanation:

we have

$2x-y=-5$ -----> First equation

$x+3y=22$ -----> Second equation

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (1,7)

The ordered pair (7,19) lie on the first line, so is a solution of the first equation

see the attached figure

Verify each statement

case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The statement is true

case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true

The statement is false, because the ordered pair (7,19) not lie on the second line

case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

The statement is true

case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true

The statement is false,because it makes only the first equation true

6 0

2 years ago

Please help im lost i dont understand this objective

sukhopar [10]

Answer:

Explained Below

Step-by-step explanation:

You'll want to start off by knowing the formulas for the area and perimeter of triangles:

Area Formula - A= 1/2 bh (1/2 x base x height)

Perimeter Formula - P = a + b + c (sides added together)

So, we will plug in the numbers.

Triangle 1: A = 1/2 bh So, A = 1/2 8 x 10, which means half of 8 or 10 multiplied by the number that you did not half. (For instance: If you half 8, that means you multiply 4 and 10.) Now, you should have A = 40 either way (4 x 10 = 40 and 8 x 5 = 40).

P = a + b + c. So, you will add 8, 6, and 10. This is 14.

Triangle 2: A = 1/2 bh. But, this triangle requires you to cut in half. Doing this, that cuts your base as well. It will no longer be 30, by 15. For the left side of triangle 2, it will be A = 1/2 15 x 12, which you half either 15 or 12, where 12 is easier. Now it should be A = 15 x 6, which is 90. The right side of the triangle will be A = 1/2 15 (12) as well, which is also 90. In the end, you will add it together, which is 180.

P = a + b + c. So, you will add 15, 23, and 12 first. Then, add 15, 20, and 12. You should have 50 and 47, which you will add that together as well.

Triangle 3: I will keep working on this one, as I am a little unsure :/

Triangle 4: You will do the same steps for this triangle like you did on #2. Though the numbers you plug on are different. A = 1/2 bh - A = 1/2 10 x 14. (This is for the left side) You will have to half either the base or the height's number. So, it will be A= 5 x 14 or A=10 x 7. Then, you will multiply and find your answer (70). (This is for the right side) A = 1/2 10 x 14. Due to the numbers being the same, it can be shown that the area will also be 70. You then add 70 and 70 together.

P = a + b + c. You will add 10, 14, and 15 for the left side and 10, 14, and 17 for the right side. Once you add them separately, add the answers together (10+14+15 =39 and 10+14+17 = 41. 39 + 41 = 80.

Triangle 5: A=1/2 bh. A = 1/2 12 x 16. You will half either 12 or 16 (It does not matter). Then you should have A = 6 x 16 or A = 12 x 8. Either way, your answer is 96.

P = a + b + c. You will add 12, 16, and 18. This results in 46.

Hope this helps! I will continue to figure out Triangle 3

7 0

2 years ago