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Vikentia [17]
2 years ago
10

Graph a line with a slope of -2/5 that contains the point (-3,5)

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

y=-\frac{2}{5}x+\frac{19}{5}

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

y=mx+b

Given

m=-\frac{2}{5}

Putting the value of slope in the equation

y=-\frac{2}{5}x+b

To find the value of b, putting the point (-3,5) in equation

5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}

Putting the values of b and m

y=-\frac{2}{5}x+\frac{19}{5}

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

  • brainly.com/question/1557905
  • brainly.com/question/1554024

#LearnwithBrainly

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Octagon PQRSTVWZ is a regular octagon with its center at point C.
REY [17]

Answer:

Option F is correct, i.e. "rotating 90° counterclockwise around point C."

Step-by-step explanation:

Given is the regular octagon PQRSTVWZ with its center at point C.

To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.

We can not use Translations, Reflections, and Dilations because they will change size and coordinates.

We can use only Rotations and that should be about the center C of the regular shape.

About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.

Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."

8 0
3 years ago
Find the ratio of black cell phone covers sold to the total number of cell phones covers sold last week. Then explain its meanin
finlep [7]
The ratio here would be 4 to 18, in which 4 represents the number of black covers sold and 18 represents the total of covers sold.
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A cylindrical rainwater tank is 1.5 m tall with a diameter of 1.4 m. What is the maximum volume of rainwater it can hold??
Ket [755]

To work out the volume of a prism, you multiply the area of cross-section by the height (or length).

So for a cylinder, you work out the area of the circle and then multiply it by the height.

Area of circle (or cross-section) = π × radius²

                                                = π × 0.7²

                                                = 0.49π   m²

Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:

Volume = 0.49π × 1.5

            = 2.3 m³  (accurate to 2 decimal places)

---------------------------------------------------------------

Answer:

The maximum volume of rainwater the cylinder can hold is:

<u> </u><u>2.3 </u><u>m³</u>

7 0
2 years ago
Movers Company manufactures sneakers. The production of their new sneaker for the coming three months is budgeted as follows:​ ​
erik [133]

Answer:

Direct labor cost= $1,500,000

Step-by-step explanation:

Giving the following information:

Production:

September 50,000

Each sneaker requires 2 hours of direct labor time.

Direct labor wages average $15 per hour.

<u>First, we need to calculate the number of direct labor hours required:</u>

Direct labor hours= 50,000*2= 100,000 hours

<u></u>

<u>Now, the direct labor cost:</u>

Direct labor cost= 100,000*15= $1,500,000

6 0
2 years ago
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