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Ber [7]
3 years ago
12

Simplify by combining like terms:​

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

9514 1404 393

Answer:

  -77k²m³

Step-by-step explanation:

The variable arrangement is the same for each term, so we simply combine their coefficients:

  k²m³ +22k²m³ -100k²m³ = (1 +22 -100)k²m³ = -77k²m³

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5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
A circle as 75 square centimeters . Which answer is closest of the measure of its radius
olchik [2.2K]

Answer:

≈ 4.89

Step-by-step explanation:

A = πr²

75 = 3.14 x r²

r² = 75 / 3.14 = 23.89

r = 4.89

4 0
3 years ago
The following graph shows the distance Thomas is from his home (in meters) for a period of 2 minutes. Determine the average rate
irga5000 [103]
The answer:
<span>the average rate of change for the first 50 seconds:
it  is v= 100 m/ 50 s = 2 m/s
</span><span>Thomas speed is 2 m in each second for the first 50 seconds.

</span><span>The average rate of change for the 70 remaining seconds:
the time is between [70; 120]
so the distance is d= 200m - 40m= 160m
the average rate is
v= 160m / 70 s = 2 . 28m /s

</span>
6 0
3 years ago
How much bigger is 132 than 110 in percentage?
n200080 [17]

Answer:

22%

Step-by-step explanation:

132%-110% is 22%

8 0
2 years ago
What is angle LKM? I need help right away please!!
kykrilka [37]

Answer:

Angle LKM is 110

Step-by-step explanation:

Since all the angles in a triangle equal 180, and 60 is one angle you can see its an equilaterial triangle.

so x=60

Then 3(60)-70=110

So LKM=110

8 0
3 years ago
Read 2 more answers
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