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3 years ago

How to graph and shade x is less than or equal to 0?

Mathematics

1 answer:

almond37 [142]3 years ago

8 0

Very easy:
Since there is no involvement of y so simply draw a vertical line at x=1.And shade the part which is describing the x values.
Hence,
You will shade all the part which is on the left of the vertical line.As there is an equal sign too,so the vertical line will be a solid line instead of dotted line.
See the attachment for graph.

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Suman and Narayan riding bikes towards each other they are 480 Km apart. The speed of Narayan is 6km/hr faster than Suman. If bo

Masteriza [31]

Answer:

Suman 37 km/hr

Narayan 43 km/hr

(extremely sorry if this is wrong!!)

Step-by-step explanation:

We can use the formula distance divided by time is speed.

480/6 = 80.

Their speeds must add up to 80 km/hour

Lets set suman as a variable, lets say s.

Narayan has a speed 6 more than suman so we say 6+s

6+s+s = 80

subtract 6 from both sides

s+s = 74

add like terms

s+s = 2s

2s = 74

divide both sides by 2.

74/2=37

s=37

Suman's speed is 37 km/hr.

Narayan's speed would be 6 more than Suman's so we do 6+37

which makes 43 km/hr

4 0

3 years ago

What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?

alekssr [168]

First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
$d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} }$
$d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4$
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units

5 0

3 years ago

Read 2 more answers

a cylinder shaped barrel has a diameter of 3 feet and a height of 4.5 feet if the barrel is empty approximately how much water i

pav-90 [236]

Volume of Cylindar:
$v = \pi {r}^{2} h$
the radius is half of the diameter

$v = \pi {1.5}^{2} 4.5$
v = 31.8

Option A.) 32 cu. ft.

6 0

3 years ago

Billy started a lawn mowing business and had to take out a $650 loan to buy all the supplies. The first month he made a profit o

bija089 [108]

Answer:

Step-by-step explanation:

He's already out of 50 bucks, because he didn't profit enough for his loan. So now we have -50, then in the next 2 months he records a profit of -75. We add that onto -50, to make -125. Then he makes 150 in profit so that's good good job Billy, -125+150=25. I hope this is right LOL

7 0

3 years ago

Find the total surface area of this triangular prism base=5cm 9cm line in the middle 12cm width=20cm 2 lengths on triangle 13cm

nikklg [1K]

We have been given an image of a triangular prism. We are asked to find the total surface area of the the prism.

The total surface area of the prism wold be sum of areas of all faces.

First of all, we will find the area of base and other two rectangles on sides.

$\text{Area of base}=(5+9)\times 20$