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riadik2000 [5.3K]
2 years ago
13

Simplify √72 - √27 + 2√8 -30√67√5-2√3+5√210√2-3√3​

Mathematics
1 answer:
UkoKoshka [18]2 years ago
3 0

Answer:

the forth one 10√2-3√3​

Step-by-step explanation:

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The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How
dlinn [17]
For rigt triangle with legs legnth a and b and hypotnuse legnth c

a^2+b^2=c^2

we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller

ok so

first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and

hypontuse is 6 more than shorter
c=6+b

sub 3+b for a and 6+b for c in oroiginal equation'

a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero

b-9=0
b=9

b+3=0
b=-3
fasle, legnths cannot be negative


answer is shorter side=9 cm


5 0
3 years ago
The sum of five times a number, and 1, is equal to four times the number
larisa86 [58]

Answer:

5x + 1 = 4x

You can really put any letter for "a number":

5n + 1 = 4n

7 0
3 years ago
What is the scale factor from polygon ABCD to polygon PQRS??
deff fn [24]

Scale factor is defined as a number which multiplies or scales some quantity.

The shape of the figure remains same, the image  becomes larger or smaller.

If the scale factor is greater than one, then the image is enlarged.

If the scale factor is less than 1 but greater that 0, then the image becomes smaller.

In the above image,  AD = 2 units.

It's corresponding side PS =  3 units

Similarly AB = 1 unit and PQ = 1.5 units

Hence , 1 * 1.5 = 1.5

2*1.5 = 3

Hence, the scale factor of the given image is 1.5 ... Answer

7 0
3 years ago
Plz explain step by step, I'm taking Adv. Math (Algebra) It's confusing If can't explain, plz at least give right answer ✌
Mashcka [7]

Question 4:

OOOOOHHH a breakthrough! I was confused when I read this question but now I get it!

Okay when dividing this equation I would do this

5^4

25

Since 25 is 5 x 5 I would mark it as 5^2, and then I can subtract!

5^4

5^2 =

5^2

If you do it like this then it would be the first choice.



7 0
3 years ago
Identify the augmented matrix for the system of equations.
lord [1]

Answer:

The augmented matrix for the system of equations is \left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right].

Step-by-step explanation:

This system consists in three equations with three variables (x, y, z).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix:

\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]

The augmented matrix for the system of equations is \left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right].

8 0
2 years ago
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