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1 year ago

5. Solve the system of equations by graphing. y = -x + 2 3x + 3y = 6

Mathematics

1 answer:

Gelneren [198K]1 year ago

6 0

Answer:

The system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.

Explanation:

Given the system of equations;

$\begin{gathered} y=-x+2 \\ 3x+3y=6 \end{gathered}$

Plotting the two equations using a graph calculator we have;

From the graph, we can observe that the line of the two equations fall on each other.

That means that the equations are the same.

Therefore, the system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.

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A conveyor belt carries supplies from the first floor to the second floor, which is 39 feet higher.

Murljashka [212]

The supplies travelled 45ft and it took 0.6min to get to the next floor.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics dealing with the relationship between the sides of a triangle and the angles.

Analysis:

The supplies distance travelled, distance of first floor from second floor and the ground form a right angled triangle.

so that sin 60 = 39/distance travelled by supplies

distance travelled by supplies = 39/sin 60 = 39/0.866 = 45 feet.

speed = distance / time

time = distance / speed = 45/70 = 0.6 min

In conclusion, the distance and time time taken for the supplies to get to the next floor is 45feet and 0.6 min respectively.

Learn more about trigonometry: brainly.com/question/24349828

#SPJ1

8 0

2 years ago

17.381 divided by 1.21

daser333 [38]

Answer:

14.36446281 is the answer, you probably have to round

7 0

3 years ago

Point (k, -3) lies on the line whose equation is x-2y=-2. What is the value of k?

natita [175]

Answer:

Substitute, <em><u>y = -3</u></em> and <em><u>x = k</u></em> on the equation.

=> k - 2×(-3) = -2

=> k = -2 + (-6)

=> k = - 8

=================

<h2>HOPE U UNDERSTOOD</h2><h3>MARK AS BRAINLIEST ONE</h3>

Any Doubts? Please COMMENT

7 0

3 years ago

8. Find the area of the figure.

alexandr402 [8]

Answer:

$\pi 6.125 cm^{2} + 24.5cm^{2}$ or $43.74225cm^{2}$

Step-by-step explanation:

Formula for calculating area of a circle:

$\pi r^{2} = a$

Formula for calculating area of a triangle:

$\frac{w * h}{2} = a$

Formula for calculating radius from diameter:

$\frac{d}{2} = r$

The left figure isn't a circle but a half circle, which (that the name indicates) is half a circle, and therefor also half the area of a circle. So the formula for calculating the area of a <u>half</u> circle is:

$\frac{\pi r^{2} }{2} = a$

The right figure in the image is a triangle, so we can use the triangle-area-formula above for that:

$\frac{7cm * 7cm}{2} = 24.5cm^{2}$

The diameter of the half circle is 7 cm which means that the radius is 3.5cm. $\frac{\pi 3.5cm^{2} }{2} = \pi 6.125cm^{2}$

6.125*pi is about 19.24225 cm^2

Now we just have to add the two areas together to get the total area.

The exact answer is:

$\pi 6.125 cm^{2} + 24.5cm^{2}$

The approximate answer is:

$43.74225cm^{2}$

Hope i could help you understand!

If you have any questions, ask them in the comments below!

Have a good day (●'◡'●)

3 0

3 years ago

What is an equation of the line that passes through the points (-4,-3) and (3,-3)

fiasKO [112]

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

3 0

3 years ago