Answer:
The area of each figure is:
- <u>Area of the rectangle = 10 square units.</u>
- <u>Area of the triangle = 10 square units.</u>
- <u>Area of the figure = 20 square units.</u>
Step-by-step explanation:
To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:
- Area of a rectangle = width * height
- Area of a rectangle = 2 units * 5 units
- <u>Area of a rectangle = 10 square units</u>
Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:
- Area of a triangle = (base * height) / 2
- Area of a triangle = (4 units * 5 units) / 2
- Area of a triangle = (20 square units / 2
- <u>Area of a triangle = 10 square units</u>
And we obtain the area of the whole figure when we add the two areas:
- Area of the figure = area of the triangle + area of the rectangle
- Area of the figure = 10 square units + 10 square units
- <u>Area of the figure = 20 square units</u>.
As you can see, <u><em>the area of the picture is 20 square units</em></u>.
Answer:
The correct answer is +45; -18; -7.
Step-by-step explanation:
Parvana records the transactions for her bank account for the week .
On Monday, Parvana deposited $45. Thus Parvana made an addition of $45 in her account. Therefore a +45 integer is used to represent this transaction into her account.
On Tuesday she used her debit card to $18 for a new shirt. Thus Parvana made a deduction of $18 from her account. Therefore a -18 integer is used to represent this transaction into her account.
On Thursday she withdrew $7 from an ATM. Thus Parvana made a deduction of $7 from her account. Therefore a -7 integer is used to represent this transaction into her account.
Thus the integers +45; -18 and -7 are used to represent transactions in Parwana's account.
Answer:
y=0
Step-by-step explanation:
Find where the expression
10
x
is undefined.
x
=
0
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
0
m
=
1
Since
n
<
m
, the x-axis,
y
=
0
, is the horizontal asymptote.
y
=
0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
0
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
image of graph
Answer:
(-4,-4)
Step-by-step explanation:
Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.
-8 × 1/2 = -4
