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zhuklara [117]
1 year ago
15

The area of a rectangle is (16x^2 - 9y^2) square units

Mathematics
1 answer:
defon1 year ago
4 0
The area of a rectangle is (16x^2 - 9y^2 ) sq units

Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
4
x
a
=
4
x
and
b
=
3
y
b
=
3
y
.
(
4
x
+
3
y
)
(
4
x
−
3
y
)
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Pleaseeeeeeeeeeee
Karo-lina-s [1.5K]

\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a


a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}

b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}

c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}

Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}

5 0
3 years ago
Solve for n<br><br> -19=-8+n
laila [671]

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

Answer:  \textsf{n = -11}

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

Given:  \textsf{-19 = -8 + n}

Find:  \textsf{Solve for n}

Solution: In order to solve for n we need to add 8 to both sides which would cancel -8 on the right side and isolate n giving us the value of n.

<u>Add 8 to both sides</u>

  • \textsf{-19 + 8 = -8 + 8 + n}
  • \textsf{-19 + 8 = n}
  • \textsf{-11 = n}

Therefore, the final answer would be that n is equal to -11.

6 0
1 year ago
Read 2 more answers
Solve the equation using the distributive property and properties of equality. -5(a+3)=-55 What is the value of a? A.)-14 B.) -8
Colt1911 [192]

Answer:

C) 8

Step-by-step explanation:

-5(a+3)=-55

a+3=-55/-5

a+3=11

a=11-3

a=8

4 0
3 years ago
Jada uses 4cm tall bricks to build her tower.Her final tower is 80 bricks high.How many cm tall is it?
Alona [7]

Answer:

320

Step-by-step explanation:

4*80=320

3 0
3 years ago
Read 2 more answers
A airplane traveled 120 km in 240 minutes. What is the average speed of the airplane? a. 40 b. 10 C. 30 d. 60​
Solnce55 [7]

Answer:

C

Step-by-step explanation:

240m= 4h

120km

V= 120/4 = 30 km/h

I hope this helps, have a good day

4 0
3 years ago
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