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3 years ago

Sylvie finds the solution to the system of equations by graphing.

Mathematics

1 answer:

nikdorinn [45]3 years ago

8 0

Answer:

Step-by-step explanation:

From the graph, it is clear that both lines intersect

at x=0 and y=2/3 or (0.667)

Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)

Step-by-step explanation:

Given the system of equations

y=2/3x+1 and y = -2/3 x-1

GRAH AND POINT OF INTERSECTION (SOLUTION)

The solution graph is attached below.

From the attached solution graph,

The red line is representing the equation y=2/3x+1

The blue line is representing the equation y = -2/3 x-1

From the graph, it is clear that both lines intersect

at x=0 and y=2/3 or (0.667)

Thus, the point of intersection is (x, y) = (0, 2/3) or (0, 0.667)

Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)

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Identify the reflection of the figure with vertices

aivan3 [116]

Reflection across the x-axis:
the x coordinate will stay the same but y coordinate will change sign

for example ( 2, -4) will reflect to 2 , 4)

Check out option B

3 0

3 years ago

Mrs.Smith has 3 boys to every 5 girls in her class. What percent of her class is boys?

gizmo_the_mogwai [7]

Answer:

1/4

25 percent

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

You stand 50 feet from a monument. The angle of depression from the top of the monument to your feet is 64 degrees. Approximatel

Murrr4er [49]

Answer:

The monument is approximately 86.6 feet tall

Step-by-step explanation:

The given monument parameters are;

The distance of the person from the monument = 50 feet

The angle of depression from the top of the monument to the person's feet = 64°

Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;

tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)

∴ The height of the monument = tan(Angle of depression) × The distance from the monument

Substituting the known values, gives;

The height of the monument = tan(60°) × 50 ≈ 86.6

The height of the monument ≈ 86.6 feet.

7 0

3 years ago

5 yrs ago, Nuri was thrice as old as Sonu. 10 yrs later, Nuri will be twice as old Sonu. How old are Nuri n Sonu?

Papessa [141]

Answer:

Answer will be 50

Step-by-step explanation:

Let us suppose, present age of Nuri be ‘x’ years and present age of Sonu be ‘y’ years.

Now, it is given that five years ago, Nuri was thrice old as Sonu. Hence,

Five years ago,

Nuri’s age = x-5 years

Sonu’s age = y-5 years

And relation between ages can be given as

Nuri’s age = 3×sonu’s age or

x-5 = 3(y-5)

x-5 = 3y-15

x-3y+10 = 0 ………..(i)

Another relation is given in the problem that ten years later, Nuri is twice as old as Sonu.

So, ten years ago,

Nuri’s Age = x+10

Sonu’s Age = y+10

And relation between ages can be written as

x+10 = 2(y+10)

x+10 = 2y+20

x-2y-10 = 0 …………..(ii)

Now we can solve the equation (i) and (ii) to get values of x and ‘y’ or present ages of Nuri and Sonu.

Value of ‘x’ from equation (i) be

x = 3y-10 ……….(iii)

Putting value of ‘x’ from equation (iii) in equation (ii) we get,

3y-10-2y-10 = 0

y = 20

Now, from equation (iii) value of ’x’ can be given as,

x= 3(20)-10

x = 50

Hence, the present ages of Nuri and Sonu are 50 years and 20 years respectively.

7 0

2 years ago

Efectúa las siguientes operaciones, aplicando la propiedad distributiva de la multiplicación. De ser posible simplifique los res

Alchen [17]

Answer:

Step-by-step explanation:

e) 3√2 (-3√6 -2 -6)

3√2 (-3√6 - 8)

-9√12 - 24√2

-9√(2^2 * 3) - 24√2

-18√3 - 24√2

6(-3√3 - 4√2)

f) -5√2 (3 + 2√2 - 6 - 1)

-5√2(-4 + 2√2)

20√2 - 20

20(√2 - 1)

7 0

3 years ago