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alexira [117]
2 years ago
5

Find the slope and y-internet.

Mathematics
1 answer:
algol [13]2 years ago
6 0
-2/1 is the slope
-5 is the y intercept
You might be interested in
ASAP 30 + Brainliest <br><br> Please only solve 2 - 5
hichkok12 [17]

<u>QUESTION 2a</u>


We want to find the area of the given right angle triangle.


We use the formula

Area=\frac{1}{2}\times base\times height

The height of the triangle is =a cm.

The base is 12cm.


We substitute the given values to obtain,


Area=\frac{1}{2}\times 12\times a cm^2.

This simplifies to get an expression for the area to be

Area=6a cm^2.





<u>QUESTION 2b</u>


The given diagram is a rectangle.


The area of a rectangle is given by the formula

Area=length \times width


The length of the rectangle is l=7cm and the width of the rectangle is w=ycm.


We substitute the values to obtain the area to be


Area=7 \times y


The expression for the area is

Area=7y


<u>QUESTION 2c.</u>


The given diagram is a rectangle.


The area of a rectangle is given by the formula

Area=length \times width


The length of the rectangle is l=2x cm and the width of the rectangle is w=4 cm.


We substitute the values to obtain the area to be


Area=2x \times 4


The expression for the area is

Area=8x


<u>QUESTION 2d</u>


The given diagram is a square.

The area of a square is given by,

Area=l^2.


where l=b m is the length of one side.


The expression for the area is

Area=b^2 m^2


<u>QUESTION 2e</u>

The given diagram is an isosceles triangle.


The area of this triangle can be found using the formula,

Area=\frac{1}{2}\times base\times height.

The height of the triangle is 4cm.


The base of the triangle is 6a cm.


The expression for the area is

Area=\frac{1}{2}\times 6a \times 4cm^2


Area=12a cm^2


<u>QUESTION 3a</u>

Perimeter is the distance around the figure.

Let P be the perimeter, then

P=x+x+x+x

The expression for the perimeter is

P=4x mm


<u>QUESTION 3b</u>

The given figure is a rectangle.


Let P, be the perimeter of the given figure.

P=L+B+L+B


This simplifies to

P=2L+2B

Or

P=2(L+B)


<u>QUESTION 3c</u>

The given figure is a parallelogram.

Perimeter is the distance around the parallelogram

Perimeter=3q+P+3q+P

This simplifies to,


Perimeter=6q+2P

Or

Perimeter=2(3q+P)



<u>QUESTION 3d</u>

The given figure is a rhombus.

The perimeter is the distance around the whole figure.


Let P be the perimeter. Then

P=5b+5b+5b+5b


This simplifies to,

P=20b mm


<u>QUESTION 3e</u>

The given figure is an equilateral triangle.

The perimeter is the distance around this triangle.

Let P be the perimeter, then,

P=2x+2x+2x


We simplify to get,


P=6x mm


QUESTION 3f

The figure is an isosceles triangle so two sides are equal.


We add all the distance around the triangle to find the perimeter.


This implies that,


Perimeter=3m+5m+5m


Perimeter=13m mm



<u>QUESTION 3g</u>

The given figure is a scalene triangle.

The  perimeter is the distance around the given triangle.

Let P be the perimeter. Then

P=(3x+1)+(2x-1)+(4x+5)


This simplifies to give us,


P=3x+2x+4x+5-1+1


P=9x+5


<u>QUESTION 3h</u>

The given figure is a trapezium.

The perimeter is the distance around the whole trapezium.

Let P be the perimeter.

Then,

P=m+(n-1)+(2m-3)+(n+3)


We group like terms to get,

P=m+2m+n+n-3+3-1

We simplify to get,

P=3m+2n-1mm


QUESTION 3i

The figure is an isosceles triangle.

We add all the distance around the figure to obtain the perimeter.

Let P be the perimeter.


Then P=(2a-b)+(a+2b)+(a+2b)


We regroup the terms to get,

P=2a+a+a-b+2b+2b

This will simplify to give us the expression for the perimeter to be

P=4a+3bmm.


QUESTION 4a

The given figure is a square.


The area of a square is given by the formula;

Area=l^2

where l=2m is the length of one side of the square.


We substitute this value to obtain;

Area=(2m)^2


This simplifies to give the expression of the area to be,

Area=4m^2


QUESTION 4b

The given figure is a rectangle.


The formula for finding the area of a rectangle is

Area=l\times w.

where l=5a cm is the length of the rectangle and w=6cm is the width of the rectangle.

We substitute the values into the formula to get,

Area =5a \times 6


Area =30a cm^2


QUESTION 4c


The given figure is a rectangle.


The formula for finding the area of a rectangle is

Area=l\times w.

where l=7y cm is the length of the rectangle and w=2x cm is the width of the rectangle.

We substitute the values into the formula to get,

Area =7y \times 2x

The expression for the area is

Area =14xy cm^2


QUESTION 4d

The given figure is a rectangle.


The formula for finding the area of a rectangle is

Area=l\times w.

where l=3p cm is the length of the rectangle and w=p cm is the width of the rectangle.

We substitute the values into the formula to get,

Area =3p \times p

The expression for the area is

Area =3p^2 cm^2




See attachment for the continuation


6 0
3 years ago
Read 2 more answers
PLEASE HELP!! will give brainliest
frutty [35]
A:
Table 1:
f(x) = 8x
X= cups so
ounces =
8* # of cups
Table 2:
f(x) =16x
X= pints so
ounces =
16*# of pints
Table 3:
f(x)= 32x
X= quarts so
ounces=
32*# of quarts
Note: another way instead of f(x)=kx is y=kx
B:
Depending on the slope we can easily find which is the steepest slope by easily comparing the slopes and seeing which is greater.
T1: 8
T2: 16
T3: 32
So, looking at our slopes, table 3 has the greatest slope because it has the greater slope out of the other two.
C:
The phrase, "rate of change" is another way to say the slope. To list again,
T1: 8
T2: 16
T3: 32
The table with the smallest slope would be table 1 since it is less than the other two tables.

I hope that helps, if you need any more assistance or you have any questions, please feel free to ask!!
6 0
2 years ago
after riding the stationary bike for just 8 minutes, betty had burned 50 calories. how long must she ride if she wants to burn 3
Lyrx [107]

Answer:

52 minutes.

Step-by-step explanation:


4 0
3 years ago
There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45
nignag [31]
<span>Part A

</span>f(x)=30∗0.2xand<span>f(x)=45+3x</span><span>
___________________________________________________________

Part B</span>

f(x)=30+0.2(5)f(x)=45+3(5)<span>
Neighborhood A and neighborhood B both have 60 houses after 5 years
</span>
___________________________________________________________

Part C

1 year
A=36
B=48 

2 years
A=42
B=51 

3 years
A=48
B=54

4 years
A = 54
B = 57 

5 years
A = 60
B= 60
5 0
2 years ago
Read 2 more answers
How to solve f(4) = x^2+7x-22
geniusboy [140]

Answer:

22

Step-by-step explanation:

1. Plugin 4 for each corresponding X value

2. Should look like 4^2+7(4)-22

3. Once ran through a calculator you should end up with a value of 22

6 0
2 years ago
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