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3 years ago

The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution to the system?

Mathematics

2 answers:

Nonamiya [84]3 years ago

5 0

The solution is where the 2 lines cross each other so it is:

(4,3) and (2,11)
Answer is B

sweet-ann [11.9K]3 years ago

4 0

Answer:

The correct option is:

B) (2,11) and (4,3)

Step-by-step explanation:

We are given a graph of a system consisting of a linear equation and a quadratic equation.

We have to find the solution to the system.

Since, the solution of two system is the point on the graph on which the two functions meet.

As we can see the two functions meet at two points which are:

(4,3) and (2,11)

Hence, the correct option is:

B) (2,11) and (4,3)

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A person on a runway sees a plane approaching. The angle of elevation from the runway to the plane is 11.1° . The altitude of th

Gnoma [55]

Answer:

The horizontal distance from the plane to the person on the runway is 20408.16 ft.

Step-by-step explanation:

Consider the figure below,

Where AB represent altitude of the plane is 4000 ft above the ground , C represents the runner. The angle of elevation from the runway to the plane is 11.1°

BC is the horizontal distance from the plane to the person on the runway.

We have to find distance BC,

Using trigonometric ratio,

$\tan\theta=\frac{Perpendicular}{base}$

Here, $\theta=11.1^{\circ}$ ,Perpendicular AB = 4000

$\tan\theta=\frac{AB}{BC}$

$\tan 11.1^{\circ} =\frac{4000}{BC}$

Solving for BC, we get,

$BC=\frac{4000}{\tan 11.1^{\circ} }$

$BC=\frac{4000}{0.196}$ (approx)

$BC=20408.16$ (approx)

Thus, the horizontal distance from the plane to the person on the runway is 20408.16 ft

8 0

3 years ago

What is the x-coordinate of the solution to the system of equations

solniwko [45]

Use elimination method - I am eliminaing the y-variable.

1(5x + 8y = 16) → 5x + 8y = 16
4(6x - 2y = 54) → 24x - 8y = 216
Add equations: 29x = 232
Divide by 29: x = 8

Answer: x = 8

7 0

4 years ago

Can you write a 5 sentence summary about the substitution method?

MAXImum [283]

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

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3 years ago

This recipe calls for 12 cinnamon rolls but I need 30 what number do I multiply

Paha777 [63]

Answer:

12 x 2.5 = 30

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Rewrite the following question in Standard form <br> Y=7/3x+8/5

BartSMP [9]

15y = 7x + 8
15y - 7x - 8 = 0

i am a mathematics teacher. if anything to ask please pm me

3 0

3 years ago