What is 145.45 repeating subtracted by 1.45 repeating

Mathematics

2 answers:

Brums [2.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

.45 repeating

tankabanditka [31]3 years ago

3 0

Answer:

145.45 repeating subtracted by 1.45 repeating equals 144.

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What is the simplified form of the following expression? 2√27+√12-3√3-2√12

LiRa [457]

Answer:

√3

Step-by-step explanation:

The given expression to be simplified is

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}$

but

$2 \sqrt{27}=2\sqrt{9 \times 3}=2 \times \sqrt{9}\times \sqrt{3}=2 \times 3 \times\sqrt{3}=6 \sqrt{3}$

$\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}$

Since √12=2√3,this implies that,

$2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}$

Therefore,

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}$

$=(6+2-3-4)\sqrt{3}$

$=\sqrt{3}$

The simplified form of ,

$2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}$ is √3

8 0

3 years ago

Find all the points having an x-coordinate of 4 whose distance from the point (-2,-1) is 10

Marta_Voda [28]

$A(x_1;\ y_1);\ B(x_2;\ y_2)\\\\the\ distance\ between\ A\ and\ B:\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\A(-2;-1);\ B(4;\ y);\ d=10\\\\subtitute\\\\\sqrt{(4-(-2))^2+(y-(-1))^2}=10\\\\\sqrt{(4+2)^2+(y+1)^2}=10\\\\\sqrt{6^2+(y+1)^2}=10\\\\\sqrt{36+(y+1)^2}=10\ \ \ |square\ both\ sides\\\\36+(y+1)^2=10^2\\\\36+(y+1)^2=100\ \ \ |subtract\ 36\ from\ both\ sides\\\\(y+1)^2=64\iff y+1=-\sqrt{64}\ or\ y+1=\sqrt{64}\\\\y+1=-8\ or\ y+1=8\ \ \ \ |subtract\ 1\ from\ both\ sides\\\\y=-9\ or\ y=7$

$Answer:{\boxed{(4;-9)\ or\ (4;\ 7)}$

4 0

3 years ago

What does 8.4 10^5-7.7 10^4 equal?

Alex

Answer:

$\huge\boxed{763,000=7.63\cdot10^5}$

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\8.4\cdot10^5-7.7\cdot10^4=8.4\cdot100,000-7.7\cdot10,000\\\\=840,000-77,000=763,000\\\\\bold{METHOD\ 2:}\\\\8.4\cdot10^5-7.7\cdot10^4=8.4\cdot10^{1+4}-7.7\cdot10^4\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=8.4\cdot10^1\cdot10^4-7.7\cdot10^4=84\cdot10^4-7.7\cdot10^4\\\\\text{use the distributive property}:\qquad a(b+c)=ab+ac\\\\=(84-7.7)\cdot10^4=76.3\cdot10^4=7\underbrace{.63}_{\leftarrow1}\cdot10^{4+1}=7.63\cdot10^5$