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Zinaida [17]
4 years ago
10

Help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
irakobra [83]4 years ago
3 0

The top portion of this graph would be y = 4

The bottom portion would be y = x - 1


In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.


For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)


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

m = (4 - 2)(5 - 3)

m = 2/2

m = 1


So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)


y = mx + b

4 = 1(5) + b

4 = 5 + b

-1 = b


Now put them together in an equation for the bottom part: y = x - 1

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find an equation of the line satisfying the given conditions. write the equation using function notation. Through (-20,5) and (-
denis23 [38]

Answer:

The equation of the line using function notation is

y=f(x)=-\frac{1}{4}x

Step-by-step explanation:

Given points are (-20,5) and (-36, 9)

Now to find the equation of the line passes through these points

Let (x_{1},y_{1}) and  (x_{2},y_{2}) be the two given points  (-20,5) and (-36, 9) respectively.

To find slope

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{9-5}{-36-(-20)}

m=\frac{4}{-36+20}

m=\frac{4}{-16}

m=-\frac{1}{4}

Therefore  m=-\frac{1}{4}

The equation of the line is of thr form y=mx+c

The point (-20,5) passes through the above line and  m=-\frac{1}{4}

5=-\frac{1}{4}(-20)+c

5=5+c

c=0

y=-\frac{1}{4}x+0

Therefore  y=-\frac{1}{4}x

Therefore the equation of the line using function notation is

y=f(x)=-\frac{1}{4}x

6 0
3 years ago
(Geometry)
tatiyna

Answer:

A)Isosceles Triangle

B)Scalene Triangle

C)Equilateral Triangle

D)Isosceles Triangle

E)Scalene Triangle

F)Isosceles Triangle

Step-by-step explanation:

Helped me out with the triangles on the bottom but remember

all sides diffrent= Scalene Triangle

All sides the same = Equilateral Triangle

Only 2 sides the same = Isosceles Triangle

5 0
3 years ago
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
vesna_86 [32]

Answer:

3000000cm³

3000dm³

Step-by-step explanation:

150cm x 100cm x 200cm = 3000000cm³

(3000000cm^{3}) (\frac{(10)^{3}(dm)^{3}  }{(100)^{3}(cm)^{3}   }) = 3000dm^{3}

8 0
3 years ago
Provide a counterexample:
Jobisdone [24]

Answer:

a=2 \quad \text{and} \quad b=-2

Step-by-step explanation:

Take a=2 \quad \text{and} \quad b=-2, note that

2=(-1)\cdot(-2)

hence b divides a. On the other hand, we have that

-2=(-1)\cdot2

which tells us that a divides b. Moreover, a=2 \neq -2=b.

5 0
3 years ago
The cost of an item is $0.30 per ounce. If total cost of the item is $3.60, how many ounces are in the item?
sesenic [268]

Answer:

Example 1: - If the item's label displays the weight as 3 lb 2 oz, type the shop name and item's brand, enter 3 in the pounds field, leave the 00 (decimal) value unchanged, enter 2 in the ounces field, leave the 00 (decimal) value unchanged, fill out the Price field and Calculate to get the price per ounce

8 0
3 years ago
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