Help please, I'll give a brainliest, I just can't seem to figure these out

Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re

wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.

Hope this helps

6 0

3 years ago

Select whether each equation has no solution, one solution, or infinitely many solutions.

xxTIMURxx [149]

Answer:

Step-by-step explanation:

A) 5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides. This result is never true, so NO SOLUTION

B)3x−9=3(x−3) Performing the indicated multiplication, we get

3x - 9 = 3x - 9. This is always true, so there are INFINITELY MANY SOLUTIONS

C)2x−6=−2(x−3) Performing the indicated multiplication, we get

2x - 6 = -2x + 6. Adding 2x - 6 to both sides results in

4x - 12 = 0, or 4x = 12. Thus, the solution is x = 3. ONE SOLUTION

D)2x+6−5x=−3(x This equation is incomplete

3 0

3 years ago

Read 2 more answers

If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°

Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = $c^{2}$ = $a^{2} + b^{2}$